# Assistant conversation Y4Q3XV - Canonical URL: - Resource IRI: - Type: assistant conversation - Mode: chat ## Transcript ### 1. User Import the attached PDF documents. [Uploaded PDFs] - AlgebraicModelsForAccountingSystems.pdf: Sheaf file #F6P4LS - leopold-kohr-the-city-as-convivial-centre.pdf: Sheaf file #FHS2JZ - question_concerning_technology.pdf: Sheaf file #SWBX5G - The Nature of Poetic Order (Richard Gabriel).pdf: Sheaf file #PHL67G - Economics, Accounting, and Property Theory.pdf: Sheaf file #8C28Q3 ### 2. Assistant I'll stage all five PDFs for import. #### Tool call: `document_import` ```json { "action": "stage", "file_ids": [ "F6P4LS", "FHS2JZ", "SWBX5G", "PHL67G", "8C28Q3" ], "name": "Batch import: 5 uploaded PDFs" } ``` ### 3. Tool result: document_import { "status": { "counts": { "pending": 5 }, "files": [ { "error": null, "status": "pending", "file_id": "8C28Q3", "execution_id": null }, { "error": null, "status": "pending", "file_id": "F6P4LS", "execution_id": null }, { "error": null, "status": "pending", "file_id": "FHS2JZ", "execution_id": null }, { "error": null, "status": "pending", "file_id": "PHL67G", "execution_id": null }, { "error": null, "status": "pending", "file_id": "SWBX5G", "execution_id": null } ] }, "sources": [], "action": "stage", "run_id": "BEVDM5", "file_ids": [ "F6P4LS", "FHS2JZ", "SWBX5G", "PHL67G", "8C28Q3" ], "run_iri": "https://m.sheaf.less.rest/BEVDM5" } ### 4. Assistant tool calls #### Tool call: `document_import` ```json { "action": "extract", "run_id": "BEVDM5" } ``` ### 5. Tool result: document_import { "status": { "counts": { "completed": 5 }, "files": [ { "error": null, "status": "completed", "file_id": "8C28Q3", "execution_id": "pex_23YEa6udPjRz" }, { "error": null, "status": "completed", "file_id": "F6P4LS", "execution_id": "pex_LIr2ZoODKpkp" }, { "error": null, "status": "completed", "file_id": "FHS2JZ", "execution_id": "pex_FLyCp6RiTpRC" }, { "error": null, "status": "completed", "file_id": "PHL67G", "execution_id": "pex_5QrDyKpOxsIM" }, { "error": null, "status": "completed", "file_id": "SWBX5G", "execution_id": "pex_nYQWyaJMVPPh" } ] }, "action": "extract", "completed": 1, "run_id": "BEVDM5", "submitted": 5 } ### 6. Assistant tool calls #### Tool call: `document_import` ```json { "action": "inspect", "run_id": "BEVDM5" } ``` ### 7. Tool result: document_import { "status": { "counts": { "completed": 5 }, "files": [ { "error": null, "status": "completed", "file_id": "8C28Q3", "execution_id": "pex_23YEa6udPjRz" }, { "error": null, "status": "completed", "file_id": "F6P4LS", "execution_id": "pex_LIr2ZoODKpkp" }, { "error": null, "status": "completed", "file_id": "FHS2JZ", "execution_id": "pex_FLyCp6RiTpRC" }, { "error": null, "status": "completed", "file_id": "PHL67G", "execution_id": "pex_5QrDyKpOxsIM" }, { "error": null, "status": "completed", "file_id": "SWBX5G", "execution_id": "pex_nYQWyaJMVPPh" } ] }, "action": "inspect", "run_id": "BEVDM5", "files": [ { "status": "completed", "file_id": "8C28Q3", "quality": { "blocks": 1712, "pages": 110, "math_expressions": 2333, "page_continuations": 31, "block_types": { "Caption": 9, "ComplexRegion": 1, "Equation": 272, "Figure": 5, "ListGroup": 21, "PageFooter": 18, "PageHeader": 358, "Picture": 3, "SectionHeader": 125, "Table": 56, "TableOfContents": 2, "Text": 842 }, "empty_equation_blocks": 5, "equation_blocks": 272, "pages_with_math": 79 }, "output_path": "/home/mbrock/sheaf.mikael/var/datalab/BEVDM5/8C28Q3.datalab.json" }, { "status": "completed", "file_id": "F6P4LS", "quality": { "blocks": 2847, "pages": 255, "math_expressions": 5030, "page_continuations": 75, "block_types": { "Equation": 542, "Figure": 31, "Footnote": 1, "ListGroup": 75, "PageFooter": 1, "PageHeader": 466, "Picture": 2, "SectionHeader": 180, "Table": 7, "TableOfContents": 2, "Text": 1540 }, "empty_equation_blocks": 0, "equation_blocks": 542, "pages_with_math": 201 }, "output_path": "/home/mbrock/sheaf.mikael/var/datalab/BEVDM5/F6P4LS.datalab.json" }, { "status": "completed", "file_id": "FHS2JZ", "quality": { "blocks": 100, "pages": 18, "math_expressions": 0, "page_continuations": 10, "block_types": { "ListGroup": 1, "PageFooter": 16, "Picture": 1, "SectionHeader": 2, "Text": 80 }, "empty_equation_blocks": 0, "equation_blocks": 0, "pages_with_math": 0 }, "output_path": "/home/mbrock/sheaf.mikael/var/datalab/BEVDM5/FHS2JZ.datalab.json" }, { "status": "completed", "file_id": "PHL67G", "quality": { "blocks": 774, "pages": 99, "math_expressions": 0, "page_continuations": 0, "block_types": { "Figure": 12, "Footnote": 4, "ListGroup": 78, "PageFooter": 130, "SectionHeader": 111, "Table": 1, "Text": 438 }, "empty_equation_blocks": 0, "equation_blocks": 0, "pages_with_math": 0 }, "output_path": "/home/mbrock/sheaf.mikael/var/datalab/BEVDM5/PHL67G.datalab.json" }, { "status": "completed", "file_id": "SWBX5G", "quality": { "blocks": 196, "pages": 23, "math_expressions": 0, "page_continuations": 13, "block_types": { "ListGroup": 6, "PageHeader": 39, "SectionHeader": 9, "Text": 142 }, "empty_equation_blocks": 0, "equation_blocks": 0, "pages_with_math": 0 }, "output_path": "/home/mbrock/sheaf.mikael/var/datalab/BEVDM5/SWBX5G.datalab.json" } ] } ### 8. Assistant Extraction looks clean for all five. Importing now. #### Tool call: `document_import` ```json { "action": "import", "run_id": "BEVDM5" } ``` ### 9. Tool result: document_import {"error":"exit: {:timeout, {GenServer, :call, [Sheaf.Repo, {:transact, %{{:otel_tracer, :span_ctx} => {:span_ctx, 80636908601749258669370577116878176592, \"3caa1a8b6bb97547f9e981c327fd8150\", 11060225298471177501, \"997dd04f3329cd1d\", 1, {:tracestate, []}, true, false, true, {:otel_span_ets, #Function<2.130817931/1 in :otel_tracer_server.on_end/1>}}}, \"replace https://m.sheaf.less.rest/XKKLJU\", [retract: #RDF.Graph\n @prefix rdf: .\n @prefix rdfs: .\n @prefix xsd: .\n>, assert: #RDF.Graph\n @prefix doc: .\n @prefix rdf: .\n @prefix rdfs: .\n @prefix xsd: .\n\n \n a doc:ExtractedBlock ;\n doc:latex \"T\" ;\n doc:sourceBlockType \"Text\" ;\n doc:sourceHtml \"

At time T, the price vector is:

\" ;\n doc:sourceKey \"/page/59/Text/9\" ;\n doc:sourcePage 59 ;\n doc:sourcePageEnd 59 .\n\n \n a doc:ExtractedBlock ;\n doc:sourceBlockType \"Text\" ;\n doc:sourceHtml \"

The extra degree of freedom, the market-endogenous determination of firmhood, cuts much deeper into received doctrine than just the Arrow-Debreu model. It changes the very conception of how competitive markets operate, from an orderly process of equilibration to a game-theoretically indeterminate struggle for positive profits. The conventional theory is that there are two basic types of economic agents, consumer-resourceholders and firms. The consumer-resourceholders supply inputs to the input markets and demand outputs on the output markets. The firms play the opposite role of demanding inputs on input markets and supplying outputs to output markets. The flow of commodities from the consumers as resource suppliers to the firms and the flow of products back to the consumers (with the money flows in the opposite direction) are represented in the familiar circular flow diagram (for example, Samuelson 1976, p. 46).

\" ;\n doc:sourceKey \"/page/90/Text/5\" ;\n doc:sourcePage 90 ;\n doc:sourcePageEnd 90 .\n\n \n a doc:ExtractedBlock ;\n doc:sourceBlockType \"PageHeader\" ;\n doc:sourceKey \"/page/91/PageHeader/8\" ;\n doc:sourcePage 91 ;\n doc:sourcePageEnd 91 .\n\n \n a doc:ExtractedBlock .\n\n \n a doc:ExtractedBlock ;\n doc:latex \"T + 1\" ;\n doc:sourceBlockType \"Text\" ;\n doc:sourceHtml \"

At time T + 1, the gross book value is:

\" ;\n doc:sourceKey \"/page/17/Text/9\" ;\n doc:sourcePage 17 ;\n doc:sourcePageEnd 17 .\n\n \n a doc:ExtractedBlock ;\n doc:sourceBlockType \"Table\" ;\n doc:sourceHtml \"\"\"\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
CashRaw-Materials InventoryFixed EquipmentFinal-Goods InventoryLaborCreditor I
[(CASH(T), 0, ...)]//[(0, 0, RM(T), 0, ...)]//[(0, 0, 0, 1, 0, ...)]//[(0, FG(T), 0, ...)]//[(..., 0, L, 0)]//[(0, ..., 0, D)]//
(1b)[(..., 0, P'X', 0, ...)]//[(..., 0, X', 0, ...)]//[(0, 0, 0, 1, 0, ...)]//[(0, ..., 0, FG(T), 0, ...)]//[(..., 0, L, 0)]//[(0, ..., 0, D)]//
(2b)[(..., 0, WL, 0, ...)]//[(..., 0, X', 0, ...)]//[(0, 0, 0, 1, 0, ...)]//[(..., 0, FG(T), 0, ...)]//[(..., 0, L, 0)]//[(0, ..., 0, D)]//
(5)[(..., 0, CASH(T), 0, ...)]//[(..., 0, RM(T), 0, ...)]//[(0, 0, 0, 1, 0, ...)]//[(..., 0, FG(T), 0, ...)]//[(..., 0, L, 0)]//[(0, ..., 0, D)]//
(6)[(..., 0, CASH(T), 0, ...)]//[(..., 0, RM(T), 0, ...)]//[(0, 0, 0, 1, 0, ...)]//[(..., 0, FG(T), 0, ...)]//[(..., 0, L, 0)]//[(0, ..., 0, D)]//
(14b)[(..., 0, PQ, 0, ...)]//[(..., 0, RM(T), 0, ...)]//[(0, 0, 0, 1, 0, ...)]//[(..., 0, FG(T), 0, ...)]//[(..., 0, L, 0)]//[(0, ..., 0, D)]//
(15)[(..., 0, PQ, 0, ...)]//[(..., 0, RM(T), 0, ...)]//[(0, 0, 0, 1, 0, ...)]//[(..., 0, FG(T), 0, ...)]//[(..., 0, L, 0)]//[(0, ..., 0, D)]//
(16a)[(..., 0, SUBS(T), 0, ...)]//[(..., 0, RM(T), 0, ...)]//[(0, 0, 0, 1, 0, ...)]//[(..., 0, FG(T), 0, ...)]//[(..., 0, L, 0)]//[(0, ..., 0, D)]//
(17a)[(..., 0, SUBS(T), 0, ...)]//[(..., 0, RM(T), 0, ...)]//[(0, 0, 0, 1, 0, ...)]//[(..., 0, FG(T), 0, ...)]//[(..., 0, L, 0)]//[(0, ..., 0, D)]//
(<)[(..., CASH(T + 1), ...)]//[(..., 0, RM(T + 1), ...)]//[(..., 0, 1, 0, 0)]//[(..., 0, FG(T + 1), ...)]//[(..., 0, L, 0)]//[(0, ..., 0, D)]//
(C)[(..., CASH(T + 1), ...)]//[(..., 0, RM(T + 1), ...)]//[(..., 0, 1, 0, 0)]//[(..., 0, FG(T + 1), ...)]//[(..., 0, L, 0)]//[(0, ..., 0, D)]//
(1a)[(0, 0, RM(T), 0, ...)]//[(0, 0, RM(T), 0, ...)]//[(0, 0, 0, 1, 0, ...)]//[(0, 0, RM(T), 0, ...)]//[(0, 0, L, 0)]//[(0, 0, 0, D)]//
(7)[(..., 0, X', 0, ...)]//[(..., 0, RM(T), 0, ...)]//[(0, 0, 0, 1, 0, ...)]//[(..., 0, FG(T), 0, ...)]//[(0, 0, L, 0)]//[(0, 0, 0, D)]//
(8)[(..., 0, RM(T), 0, ...)]//[(..., 0, RM(T), 0, ...)]//[(0, 0, 0, 1, 0, ...)]//[(..., 0, FG(T), 0, ...)]//[(0, 0, L, 0)]//[(0, 0, 0, D)]//
(9)[(..., 0, RM(T), 0, ...)]//[(..., 0, RM(T), 0, ...)]//[(0, 0, 0, 1, 0, ...)]//[(..., 0, FG(T), 0, ...)]//[(0, 0, L, 0)]//[(0, 0, 0, D)]//
(<)[(..., 0, RM(T + 1), ...)]//[(..., 0, RM(T + 1), ...)]//[(..., 0, 1, 0, 0)]//[(..., 0, FG(T + 1), ...)]//[(..., 0, L, 0)]//[(0, ..., 0, D)]//
(C)[(..., 0, RM(T + 1), ...)]//[(..., 0, RM(T + 1), ...)]//[(..., 0, 1, 0, 0)]//[(..., 0, FG(T + 1), ...)]//[(..., 0, L, 0)]//[(0, ..., 0, D)]//
(11)[(0, 0, 0, 1, 0, ...)]//[(0, 0, 0, 1, 0, ...)]//[(0, 0, 0, 1, 0, ...)]//[(0, 0, 0, 1, 0, ...)]//[(0, 0, 0, 1, 0, ...)]//[(0, 0, 0, 1, 0, ...)]//
(12)[(0, 0, 0, 1, 0, ...)]//[(0, 0, 0, 1, 0, ...)]//[(0, 0, 0, 1, 0, ...)]//[(0, 0, 0, 1, 0, ...)]//[(0, 0, 0, 1, 0, ...)]//[(0, 0, 0, 1, 0, ...)]//
(<)[(0, 0, 0, 1, 0, 0)]//[(0, 0, 0, 1, 0, 0)]//[(0, 0, 0, 1, 0, 0)]//[(0, 0, 0, 1, 0, 0)]//[(0, 0, 0, 1, 0, 0)]//[(0, 0, 0, 1, 0, 0)]//
(C)[(0, 0, 0, 1, 0, 0)]//[(0, 0, 0, 1, 0, 0)]//[(0, 0, 0, 1, 0, 0)]//[(0, 0, 0, 1, 0, 0)]//[(0, 0, 0, 1, 0, 0)]//[(0, 0, 0, 1, 0, 0)]//
\"\"\" ;\n doc:sourceKey \"/page/55/Table/16\" ;\n doc:sourcePage 55 ;\n doc:sourcePageEnd 55 .\n\n \n rdf:first ;\n rdf:rest [] .\n\n \n a doc:ExtractedBlock ;\n doc:latex \"M\", \"[d // c]\", \"[d' // c']\", \"m'\" ;\n doc:sourceBlockType \"Text\" ;\n doc:sourceHtml \"

Both cases are included if we identify [d // c] with [d' // c'] whenever there is an element m' in M such that:

\" ;\n doc:sourceKey \"/page/97/Text/14\" ;\n doc:sourcePage 97 ;\n doc:sourcePageEnd 97 .\n\n \n a doc:ExtractedBlock ;\n doc:sourceBlockType \"Text\" ;\n doc:sourceHtml \"

The nature and treatment of goodwill has been a perennial problem area in accounting—and for good reason. The peculiarities of appropriation emerge in accounting under the guise of goodwill. The property analysis allows us to see what goodwill is, what it is not, and how it should be treated in accounting.

\" ;\n doc:sourceKey \"/page/85/Text/13\" ;\n doc:sourcePage 85 ;\n doc:sourcePageEnd 85 .\n\n \n a doc:ExtractedBlock ;\n doc:sourceBlockType \"Text\" ;\n doc:sourceHtml \"

In this manner, a party laissez faire appropriates the assets and liabilities produced in production. Having borne the costs of the inputs used up in production, that party is the last legal owner of the inputs. In a market economy, that party, the whole-product appropriator, is not always the prior owner of some specific input. Usually owners of capital hire labor, but workers can borrow or hire capital and an entrepreneur could hire both the labor and capital. The whole-product appropriator is determined by the direction of the hiring contracts, by who hires what or whom. Whichever party hires all the inputs (and does not resell them) will bear those costs as the inputs are consumed in production and thus will appropriate the whole product. The whole-product appropriator (or, in value terms, the residual or profit claimant) is that last legal owner of the consumed inputs; that is, the hiring party.

\" ;\n doc:sourceKey \"/page/78/Text/3\" ;\n doc:sourcePage 78 ;\n doc:sourcePageEnd 78 .\n\n \n a doc:ExtractedBlock ;\n doc:latex \"v = (1, -2, 3, -4, 5, -6, 7, -8, 9, -10),\" ;\n doc:sourceBlockType \"Equation\" ;\n doc:sourceHtml \"\"\"

\nv = (1, -2, 3, -4, 5, -6, 7, -8, 9, -10),\n

\"\"\" ;\n doc:sourceKey \"/page/47/Equation/21\" ;\n doc:sourcePage 47 ;\n doc:sourcePageEnd 47 .\n\n [\n rdf:first ;\n rdf:rest []\n ] .\n\n [\n rdf:first ;\n rdf:rest []\n ] .\n\n [\n rdf:first ;\n rdf:rest []\n ] ...\n...\n>]}, 5000]}}"} ### 10. Assistant The import hit a database timeout mid-run. Let me check the run status to see what actually landed. #### Tool call: `document_import` ```json { "action": "status", "run_id": "BEVDM5" } ``` ### 11. Tool result: document_import { "status": { "counts": { "completed": 5 }, "files": [ { "error": null, "status": "completed", "file_id": "8C28Q3", "execution_id": "pex_23YEa6udPjRz" }, { "error": null, "status": "completed", "file_id": "F6P4LS", "execution_id": "pex_LIr2ZoODKpkp" }, { "error": null, "status": "completed", "file_id": "FHS2JZ", "execution_id": "pex_FLyCp6RiTpRC" }, { "error": null, "status": "completed", "file_id": "PHL67G", "execution_id": "pex_5QrDyKpOxsIM" }, { "error": null, "status": "completed", "file_id": "SWBX5G", "execution_id": "pex_nYQWyaJMVPPh" } ] }, "action": "status", "run_id": "BEVDM5" } ### 12. Assistant tool calls #### Tool call: `document_import` ```json { "action": "import", "run_id": "BEVDM5" } ``` ### 13. Tool result: document_import {"error":"exit: {:timeout, {GenServer, :call, [Sheaf.Repo, {:transact, %{{:otel_tracer, :span_ctx} => {:span_ctx, 329588560117152658378852609715231236001, \"f7f4729e26f0b9043f2cbfc1c94f9fa1\", 519153897718837940, \"073467b8294a72b4\", 1, {:tracestate, []}, true, false, true, {:otel_span_ets, #Function<2.130817931/1 in :otel_tracer_server.on_end/1>}}}, \"replace https://m.sheaf.less.rest/V5255F\", [retract: #RDF.Graph\n @prefix rdf: .\n @prefix rdfs: .\n @prefix xsd: .\n>, assert: #RDF.Graph\n @prefix doc: .\n @prefix rdf: .\n @prefix rdfs: .\n @prefix xsd: .\n\n \n a doc:ExtractedBlock ;\n doc:latex \"\\\\gcd(d, c)\", \"\\\\min(d, c)\", \"c\", \"d\", \"d/c\" ;\n doc:sourceBlockType \"Text\" ;\n doc:sourceHtml \"

These results about the reduced representation of a T-term all carry over to the multiplicative algebra of fractions of positive whole numbers. Given two nonnegative numbers d and c, the minimum \\\\min(d, c) could be defined as the largest nonnegative number that could be subtracted from both d and c with a nonnegative result. Translating into multiplicative terms, given two positive whole numbers d and c, the greatest common divisor \\\\gcd(d, c) is the largest whole number that could be divided into both d and c with whole number results. Given a fraction d/c, the result of dividing both the numerator and denominator by their greatest common divisor yields another representation of the same fraction:

\" ;\n doc:sourceKey \"/page/31/Text/2\" ;\n doc:sourcePage 31 ;\n doc:sourcePageEnd 31 .\n\n \n a doc:ExtractedBlock ;\n doc:latex \"MTr(T)\", \"UTr(T)\" ;\n doc:sourceBlockType \"Text\" ;\n doc:sourceHtml \"

The account of Transactions is subdivided into Market Transactions, symbolized MTr(T), and Unilateral Transactions, symbolized UTr(T), so:

\" ;\n doc:sourceKey \"/page/49/Text/9\" ;\n doc:sourcePage 49 ;\n doc:sourcePageEnd 49 .\n\n \n a doc:ExtractedBlock ;\n doc:latex \"0 // 0\", \"1/1\", \"1/y\", \"1/z\", \"d = c\", \"d/c\", \"w \\\\dots x = y \\\\dots z\", \"w/1\", \"x/1\" ;\n doc:sourceBlockType \"Text\" ;\n doc:sourceHtml \"

Just as any T-term equal to the zero-term [0 // 0] was called a zero-term, so any fraction equal to the unit fraction 1/1 will be called a unit. Then d/c is a unit if and only if d = c, so units encode equations in multiplicative bookkeeping just as zero-terms encode equations in additive bookkeeping. Given an equation w \\\\dots x = y \\\\dots z between products of nonzero integers, a left-hand-side integer is encoded as a debit fraction, such as w/1 and x/1, and a right-hand-side integer is encoded as a credit fraction, such as 1/y and 1/z. The product of all fractions obtained in this manner is equal to 1/1 and is called an equational unit in analogy with the equational zero-terms of additive bookkeeping:

\" ;\n doc:sourceKey \"/page/36/Text/13\" ;\n doc:sourcePage 36 ;\n doc:sourcePageEnd 36 .\n\n \n a doc:ExtractedBlock ;\n doc:latex \"M\", \"M \\\\times M\", \"R^+\", \"[d // c]\", \"[d // c] = [m' // m'] + [d' // 0]\", \"[d' // 0]\", \"c\", \"d\", \"d - c\", \"d = c + d'\", \"d'\", \"m'\", \"m' = c\" ;\n doc:sourceBlockType \"Text\" ;\n doc:sourceHtml \"

Similarly, instead of saying that d is greater than or equal to c in R^+ and that the nonnegative difference is d - c, it is equivalent to say that there is an element d' in R^+ such that d = c + d'. Then [d // c] is to be identified with [d' // 0] if there is an element m' in M such that [d // c] = [m' // m'] + [d' // 0] holds in M \\\\times M (for example, take m' = c).

\" ;\n doc:sourceKey \"/page/97/Text/13\" ;\n doc:sourcePage 97 ;\n doc:sourcePageEnd 97 .\n\n \n a doc:ExtractedBlock ;\n doc:latex \"PMTa(n, r) = PV\" ;\n doc:sourceBlockType \"Text\" ;\n doc:sourceHtml \"

since the present value of those payments is PMTa(n, r) = PV.

\" .\n\n \n a doc:ExtractedBlock ;\n doc:sourceBlockType \"Text\" ;\n doc:sourceHtml \"

Vector accounting is the form and property theory is the content; the combination is property accounting. It is the formalization of property theory within a vector-accounting framework. Property accounting is the realization of an old idea that many accountants have thought to be impossible, namely, accounting without valuation. In one fell swoop, property accounting undercuts the valuation controversies of value accounting by keeping accounts directly in terms of the physical stocks and flows of property rights in a productive enterprise. Property accounting is also the foundation for a theory of the firm that deals with the institutional aspects of the firm that are neglected in price theory, such as the structure of rights involved in production.

\" ;\n doc:sourceKey \"/page/5/Text/3\" ;\n doc:sourcePage 5 ;\n doc:sourcePageEnd 5 .\n\n [\n rdf:first ;\n rdf:rest []\n ] .\n\n [\n rdf:first ;\n rdf:rest []\n ] .\n\n [\n rdf:first ;\n rdf:rest []\n ] ...\n...\n>]}, 5000]}}"} ### 14. Assistant The large math-heavy documents are timing out on write. Let me check what's actually landed so far. #### Tool call: `list_documents` ```json {} ``` ### 15. Tool result: list_documents FOLDERS - Living Structure, Wholeness & Beauty - Procedural Generation & Co-Creation - Roads, Trails & Movement - Terrain, Hydrology & Erosion - Water Simulation & Rendering Living Structure, Wholeness & Beauty (10) - #GANFP9 A Fundamental Duality in the Mathematical and Natural Sciences: From Logic to Biology - 2024 | David Ellerman | 53 pp. Micro abstract: Traces an overlooked subset–partition duality—from logic and category theory through entropy and quantum indefiniteness to selectionist and generative mechanisms in biology. - #MH5J8D Beautimeter: Harnessing GPT for Assessing Architectural and Urban Beauty Based on the 15 Properties of Living Structure - 2025 | Bin Jiang | AI | 12 pp. | doi:10.3390/ai6040074 Micro abstract: Presents Beautimeter, a GPT-based tool that scores buildings and urban scenes against Christopher Alexander’s 15 properties of living structure to assess their coherence and beauty. - #XW22YY Generative Codes: The Path to Building Welcoming, Beautiful, Sustainable Neighborhoods - 2005 | Brian Hanson, Christopher Alexander, Maggie Moore Alexander, Michael Mehaffy, Randall Schmidt | Center for Environmental Structure | 21 pp. Micro abstract: Argues that living neighborhoods arise from generative codes: ordered, participatory steps that let buildings and public spaces unfold from local people, land, and context. - #SKRF4C Geography as a Science of the Earth’s Surface Founded on the Third View of Space - 2022 | Bin Jiang | Annals of GIS | 14 pp. | doi:10.1080/19475683.2021.1966502 Micro abstract: Recasts geography around an organismic view of space, using scaling and spatial dependence to understand—and deliberately create—places with greater living structure. - #PXG56P Harmony-Seeking Computations: A Science of Non-Classical Dynamics Based on the Progressive Evolution of the Larger Whole - 2009 | Christopher Alexander | Unpublished manuscript | 66 pp. Micro abstract: Proposes harmony-seeking computation as a creative process that repeatedly strengthens latent centers in a configuration while preserving and deepening the larger whole. - #MJKTBB Living Images: A Recursive Approach to Computing the Structural Beauty of Images or the Livingness of Space - 2023 | Bin Jiang, Chris de Rijke | Annals of the American Association of Geographers | 19 pp. | doi:10.1080/24694452.2023.2178376 Micro abstract: Measures an image’s structural beauty by recursively extracting its nested substructures, revealing a compact hierarchy that also captures visual saliency. - #C8FHDZ On implication and negation in partition logic - 2025 | , David Ellerman | Open Journal of Mathematical Sciences | 9 pp. | doi:10.30538/oms2025.0250 Micro abstract: Develops implication as a refinement-sensitive operation on set partitions, showing how relative negation yields local Boolean cores within the non-distributive algebra of partitions. - #3XSLTA Structural Beauty: A Structure-Based Computational Approach to Quantifying the Beauty of an Image - 2021 | Bin Jiang, Chris de Rijke | Journal of Imaging | 15 pp. | doi:10.3390/jimaging7050078 Micro abstract: Proposes a quantitative measure of structural beauty based on how many substructures an image contains and how strongly they form a hierarchy across scales. - #ZU8GZV Structure-Preserving Transformations - 2002 | Christopher Alexander | The Nature of Order, Book Two: The Process of Creating Life | 4 pp. | doi:10.2307/j.ctv27ftw6c.5 Micro abstract: Explains structure-preserving transformations: incremental changes that extend the centers and relationships already present in a place rather than weakening its wholeness. - #BYG3BQ Wholeness as a Hierarchical Graph to Capture the Nature of Space - 2015 | Bin Jiang | International Journal of Geographical Information Science | 14 pp. | doi:10.1080/13658816.2015.1038542 Micro abstract: Models spatial wholeness as a hierarchical graph of mutually reinforcing centers, using PageRank and scaling depth to quantify the life of parts and wholes. Procedural Generation & Co-Creation (14) - #ABD2B8 Between Tech and Art: The Vegetation of Horizon Zero Dawn - 2018 | Gilbert Sanders, Guerrilla Games | Game Developers Conference (GDC) 2018 | 87 pp. Micro abstract: A production breakdown of Horizon Zero Dawn’s vegetation pipeline, covering global wind simulation, layered foliage motion, coverage-preserving alpha mipmaps, shading, asset LODs, placement, and cascaded shadows. - #4TH488 Explainable AI for Designers: A Human-Centered Perspective on Mixed-Initiative Co-Creation - 2018 | Antonios Liapis, G. Michael Youngblood, Jichen Zhu, Rafael Bidarra, Sebastian Risi | 2018 IEEE Conference on Computational Intelligence and Games (CIG) | 8 pp. | doi:10.1109/CIG.2018.8490433 Micro abstract: Defines explainable AI for game designers, mapping co-creative systems by their explainability, initiative, and domain overlap so explanations serve concrete design tasks. - #9NQ94D Extracting Physics from Blended Platformer Game Levels - 2020 | Adam Summerville, Anurag Sarkar, Joseph C. Osborn, Sam Snodgrass | Joint Proceedings of the AIIDE 2020 Workshops (CEUR Workshop Proceedings, Vol. 2862) | 7 pp. Micro abstract: Infers playable jump physics from generated platformer levels, including hybrid physics models for levels that blend the geometry and style of multiple games. - #66Q3W3 Ghost of Tsushima: Procedural Grass - 2021 | Eric Wohllaib, Sucker Punch Productions | Game Developers Conference (GDC) 2021 | 55 pp. Micro abstract: Explains Ghost of Tsushima’s compute-driven grass pipeline, from tiled placement and culling to indirect drawing, cubic Bézier blade geometry, variable LOD, wind animation, and material shading. - #QHMFH2 Improved Alpha Testing Using Hashed Sampling - 2019 | Chris Wyman, Morgan McGuire | IEEE Transactions on Visualization and Computer Graphics | 12 pp. | doi:10.1109/TVCG.2017.2739149 Micro abstract: Develops hashed alpha testing, a stable quasi-random thresholding method that preserves distant alpha-mapped foliage and hair while controlling flicker, anisotropy, and interactions with TAA and alpha-to-coverage. - #7GR3AQ Procedural Content Generation through Quality Diversity - 2019 | Ahmed Khalifa, Antonios Liapis, Daniele Gravina, Georgios N. Yannakakis, Julian Togelius | 2019 IEEE Conference on Games (CoG) | 8 pp. | doi:10.1109/CIG.2019.8848053 Micro abstract: Argues for quality-diversity algorithms in procedural generation, producing broad collections of varied, playable content while exposing the design space for exploration and co-creation. - #CQBDX4 Procedural Content Generation via Machine Learning (PCGML) - 2018 | Aaron Isaksen, Adam Summerville, Amy K. Hoover, Andy Nealen, Christoffer Holmgård, Julian Togelius, Matthew Guzdial, Sam Snodgrass | IEEE Transactions on Games | 15 pp. | doi:10.1109/TG.2018.2846639 Micro abstract: Defines and surveys PCGML: generating functional game content directly from models trained on existing examples, with uses spanning creation, completion, repair, critique, and compression. - #EARFEK Procedural Generation of Villages on Arbitrary Terrains - 2012 | Adrien Bernhardt, Adrien Peytavie, Arnaud Emilien, Eric Galin, Marie-Paule Cani | The Visual Computer | 10 pp. | doi:10.1007/s00371-012-0699-7 Micro abstract: Presents a three-stage procedural model that grows terrain-responsive village roads and settlements, partitions land into plausible parcels, and generates slope-adapted buildings with open shape grammars. - #EDURTK Real-Time GPU Tree Generation - 2025 | Bastian Kuth, Carsten Faber, Dominik Baumeister, Max Oberberger, Pirmin Pfeifer, Quirin Meyer, Seyedmasih Tabaei | High-Performance Graphics – Symposium Papers | 10 pp. | doi:10.2312/hpg.20251168 Micro abstract: Introduces a GPU work-graph pipeline that generates, animates, edits, and continuously LODs detailed seasonal trees every frame, replacing gigabytes of baked geometry with kilobytes of parameters. - #GBXEP3 Realistic Modeling and Rendering of Plant Ecosystems - 1998 | Bernd Lintermann, Matt Pharr, Oliver Deussen, Pat Hanrahan, Przemyslaw Prusinkiewicz, Radomír Měch | Proceedings of SIGGRAPH ’98 | 12 pp. | doi:10.1145/280814.280898 Micro abstract: Presents a foundational pipeline for authoring plant ecosystems through terrain design, ecological simulation, procedural plant models, approximate instancing, and efficient rendering of billion-primitive scenes. - #BDBBL6 Real‐time Realistic Rendering and Lighting of Forests - 2012 | Eric Bruneton, Fabrice Neyret | Computer Graphics Forum | 11 pp. | doi:10.1111/j.1467-8659.2012.03016.x Micro abstract: Combines detailed z-field trees with terrain shader-maps to render immense forests in real time, preserving sun, sky, canopy, and ground-lighting effects through seamless, scale-consistent transitions. - #PQ68ZH Responsive Real-Time Grass Rendering for General 3D Scenes - 2017 | Klemens Jahrmann, Michael Wimmer | Proceedings of the 2017 Symposium on Interactive 3D Graphics and Games (I3D ’17) | 10 pp. | doi:10.1145/3023368.3023380 Micro abstract: Renders every grass blade as responsive tessellated geometry on arbitrary 3D surfaces, with per-blade wind, gravity, and collision physics plus aggressive culling that retains dense fields in real time. - #WZ8DHP Runtime Evaluation of Procedural Content Generation in an Endless Runner Game Using Autonomous Agents - 2026 | Rishabh Kar | arXiv | 25 pp. | doi:10.48550/arXiv.2605.01783 Micro abstract: Integrates procedural generation and validation in an endless runner, using aerial and ground agents to detect blocked or unnavigable content before the player reaches it. - #NRBMD5 Towards Friendly Mixed Initiative Procedural Content Generation: Three Pillars of Industry - 2020 | Frederic Fol Leymarie, Gorm Lai, William Latham | Proceedings of the International Conference on the Foundations of Digital Games (FDG '20) | 4 pp. | doi:10.1145/3402942.3402946 Micro abstract: Distills three requirements for industry-friendly co-creative PCG tools: preserve designer control, keep feedback loops short, and fit into existing production pipelines. Roads, Trails & Movement (8) - #G3TBNG A Sequential Two-Step Algorithm for Fast Generation of Vehicle Racing Trajectories - 2016 | J. Christian Gerdes, John Subosits, Nitin R. Kapania | Journal of Dynamic Systems, Measurement, and Control | 12 pp. | doi:10.1115/1.4033311 Micro abstract: Generates near-optimal racing trajectories quickly by alternating between a minimum-time speed profile and a convex path update that reduces curvature. - #B6P8L4 Active walker model for the formation of human and animal trail systems - 1997 | Dirk Helbing, Frank Schweitzer, Joachim Keltsch, Péter Molnár | Physical Review E | 34 pp. | doi:10.1103/physreve.56.2527 Micro abstract: Models trail systems as self-organization: walkers reinforce attractive routes while unused traces fade, producing dendritic ant trails and low-detour pedestrian networks. - #V4TQYB Interactive procedural street modeling - 2008 | Eugene Zhang, Gregory Esch, Guoning Chen, Pascal Müller, Peter Wonka | ACM Transactions on Graphics | 10 pp. | doi:10.1145/1360612.1360702 Micro abstract: Lets designers generate and edit large street networks through tensor fields, combining procedural speed with brush-like global and local control over street patterns. - #UYLTYJ Modelling the Evolution of Human Trail Systems - 1997 | Dirk Helbing, Joachim Keltsch, Péter Molnár | Nature | 11 pp. | doi:10.1038/40353 Micro abstract: Shows how pedestrian trails emerge through feedback between destination-seeking walkers, existing paths, and vegetation recovery, yielding a compromise between directness and shared infrastructure. - #GY93FG Mountain Trail Formation and the Active Walker Model - 2009 | J. P. Hague, S. J. Gilks | International Journal of Modern Physics C | 22 pp. | doi:10.1142/S0129183109014059 Micro abstract: Extends the active-walker model to steep terrain, explaining zigzag mountain trails through slope avoidance, directional persistence, and mutual reinforcement by ascending and descending walkers. - #LXV9AT Principles of Trail Layout and Design - 2019 | California State Parks | California State Parks Trails Handbook | 64 pp. Micro abstract: A field-oriented guide to durable trail design, emphasizing curvilinear alignment, natural drainage, sustainable grades, control points, and close reading of landform and soils. - #XDEFZS Procedural Generation of Roads - 2010 | A. Peytavie, E. Galin, E. Guérin, N. Maréchal | Computer Graphics Forum | 10 pp. | doi:10.1111/j.1467-8659.2009.01612.x Micro abstract: Automatically routes and constructs roads with an anisotropic shortest-path method that weighs slope and obstacles while treating surface segments, bridges, and tunnels consistently. - #ARP5U7 The Topography of Minoan Peak Sanctuaries - 1983 | A. A. D. Peatfield | The Annual of the British School at Athens | 8 pp. | doi:10.1017/s0068245400019729 Micro abstract: Argues that Minoan peak sanctuaries were chosen for visibility and proximity to local settlements, forming a beacon-like sacred network whose contraction tracked settlement abandonment rather than cultic collapse. Terrain, Hydrology & Erosion (8) - #NV2YRW FastFlow: GPU Acceleration of Flow and Depression Routing for Landscape Simulation - 2024 | Aryamaan Jain, Bernhard Kerbl, Brandon Finley, Guillaume Cordonnier, James Gain | Computer Graphics Forum | 13 pp. | doi:10.1111/cgf.15243 Micro abstract: A GPU framework for routing surface flow through terrain and its depressions fast enough to make erosion, river, lake, and ecosystem simulations interactive. - #2284QZ From features to fingerprints: A general diagnostic framework for anthropogenic geomorphology - 2019 | Damian Evans, Erle C Ellis, Giulia Sofia, Paolo Tarolli, Wenfang Cao | Progress in Physical Geography: Earth and Environment | 34 pp. | doi:10.1177/0309133318825284 Micro abstract: Integrates geomorphology, archaeology, and high-resolution remote sensing into a framework for reading anthropogenic landforms as landscape-scale sociocultural fingerprints. - #96ZMGK Large Scale Terrain Generation from Tectonic Uplift and Fluvial Erosion - 2016 | Adrien Peytavie, Bedrich Benes, Guillaume Cordonnier, Jean Braun, Marie-Paule Cani, Éric Galin, Éric Guérin | Computer Graphics Forum | 11 pp. | doi:10.1111/cgf.12820 Micro abstract: Generates large, controllable mountain terrains by coupling user-painted tectonic uplift with fluvial erosion, then turning the resulting stream graph into detailed landforms. - #K82AS7 Legacy sediment: Definitions and processes of episodically produced anthropogenic sediment - 2013 | L. Allan James | Anthropocene | 11 pp. | doi:10.1016/j.ancene.2013.04.001 Micro abstract: Broadens legacy sediment to episodically produced anthropogenic alluvium and colluvium, and explains its deposition, storage, and remobilization through sediment delivery–transport capacity dynamics. - #DWXKYQ Physically-based analytical erosion for fast terrain generation - 2024 | Boris Gailleton, Guillaume Cordonnier, Petros Tzathas, Philippe Steer | Computer Graphics Forum | 14 pp. | doi:10.1111/cgf.15033 Micro abstract: Turns the stream power law into an interactive terrain tool, replacing thousands of erosion time steps with analytical solutions and a direct control for landscape age. - #MTDKDE Priority-Flood: An Optimal Depression-Filling and Watershed-Labeling Algorithm for Digital Elevation Models - 2014 | Clarence Lehman, David Mulla, Richard Barnes | Computers & Geosciences | 17 pp. | doi:10.1016/j.cageo.2013.04.024 Micro abstract: Introduces Priority-Flood, a simple, optimal algorithm that removes drainage-blocking depressions from elevation models and can also derive watersheds and flow directions. - #AK7NGE Procedural Riverscapes - 2019 | A. Peytavie, B. Benes, E. Galin, E. Guérin, J. Gain, T. Dupont, Y. Cortial | Computer Graphics Forum | 12 pp. | doi:10.1111/cgf.13814 Micro abstract: Builds editable, animated riverscapes from bare terrain by carving hydrologically plausible channels and blending real-time procedural water primitives instead of simulating fluids. - #DMTA8Y Terrain Generation Using Procedural Models Based on Hydrology - 2013 | Adrien Peytavie, Bedřich Beneš, Jean-David Génevaux, Éric Galin, Éric Guérin | ACM Transactions on Graphics | 10 pp. | doi:10.1145/2461912.2461996 Micro abstract: Generates controllable, multiscale terrain from a sketched drainage network, representing rivers and landforms as an editable hierarchy of continuous procedural primitives. Water Simulation & Rendering (12) - #RBS5K6 A Layered Particle-Based Fluid Model for Real-Time Rendering of Water - 2010 | Daniel Scherzer, Florian Bagar, Michael Wimmer | Computer Graphics Forum | 7 pp. | doi:10.1111/j.1467-8659.2010.01734.x Micro abstract: Renders particle-based water and volumetric foam in real time using perspective-aware surface smoothing, physically guided foam formation, and layered depth compositing. - #C4AY2M A Survey of Ocean Simulation and Rendering Techniques in Computer Graphics - 2011 | B. Crespin, D. Ghazanfarpour, E. Darles, J.-C. Gonzato | Computer Graphics Forum | 17 pp. | doi:10.1111/j.1467-8659.2010.01828.x Micro abstract: Surveys ocean graphics from spectral deep-water models to near-shore fluid simulation, then covers the foam, spray, and light transport needed for convincing rendering. - #WZMZGY Advected river textures - 2009 | Dirk Arnold, Stephen Brooks, Tim Burrell | Computer Animation and Virtual Worlds | 11 pp. | doi:10.1002/cav.288 Micro abstract: Combines a 2D Navier–Stokes solver, hydrostatic pressure columns, and advected procedural textures to render detailed, terrain-responsive rivers at real-time frame rates. - #92XRH7 Lagrangian Texture Advection: Preserving both Spectrum and Velocity Field - 2011 | Qizhi Yu, E. Bruneton, F. Neyret, N. Holzschuch | IEEE Transactions on Visualization and Computer Graphics | 13 pp. | doi:10.1109/tvcg.2010.263 Micro abstract: Advects fluid textures with deformable particle grids, preserving both the input texture’s visual spectrum and exact motion along the velocity field without cumulative stretching. - #8SERGP Real-time Breaking Waves for Shallow Water Simulations - 2007 | Markus Gross, Matthias Müller-Fischer, Nils Thürey, Simon Schirm | 15th Pacific Conference on Computer Graphics and Applications (Pacific Graphics 2007) | 8 pp. | doi:10.1109/PG.2007.33 Micro abstract: Adds real-time overturning waves to shallow-water heightfields by detecting steep fronts and spawning connected particle sheets that collapse into splashes and foam. - #CWC7H9 Real-time Rendering of Enhanced Shallow Water Fluid Simulations - 2013 | Antonio Susín, Jesús Ojeda | Computers & Graphics | 9 pp. Micro abstract: Builds a real-time rendering pipeline for shallow-water simulations, adding fine surface detail, advected foam, photon-based caustics, and screen-space reflection and refraction. - #MVUJ8Z Real-time Rendering of River Networks - 2010 | Quintijn Hendrickx, Rafael Bidarra, Ruben M. Smelik | Proceedings of the ACM SIGGRAPH Symposium on Interactive 3D Graphics and Games | 1 pp. Micro abstract: Renders branching river networks efficiently with quadratic Bézier curves, GPU distance fields, and streaming normal maps instead of dense geometry or particle simulation. - #5MGCZ5 Real-time River Representation by Dynamic Control of Data on Waves - 2008 | Makoto Kosugi, Nobuhiko Mukai, Yasuhiro Kato | 4 pp. | doi:10.3169/itej.62.2063 Micro abstract: Dynamically switches river-wave models by viewing distance, preserving nearby reflection and wave detail while retaining wind-driven motion across the full landscape. - #XDESU9 Scalable real‐time animation of rivers - 2009 | Eric Bruneton, Fabrice Neyret, Nicolas Holzschuch, Qizhi Yu | Computer Graphics Forum | 11 pp. | doi:10.1111/j.1467-8659.2009.01363.x Micro abstract: Animates rivers across vast terrains by computing steady flow locally and advecting fine surface detail only where visible, at a screen-space sampling density. - #869NHK Very Fast Real-Time Ocean Wave Foam Rendering Using Halftoning - 2011 | Ian Parberry, Jennifer R. Alford, Mary Yingst | Proceedings of the 6th International North American Conference on Intelligent Games and Simulation (GAMEON-NA) | 7 pp. Micro abstract: Uses a spectrally controlled halftone mask to make texture-based ocean foam dissipate as clumped bubbles that pop, rather than merely fading transparently. - #A2QB8L Water Flow in Portal 2 - 2010 | Alex Vlachos | ACM SIGGRAPH 2010 Course: Advances in Real-Time Rendering in 3D Graphics and Games | 54 pp. Micro abstract: Explains Portal 2’s production-friendly water shader: artist-painted flow maps advect layered normal maps, while offsets and noise suppress repetition and pulsing on limited hardware. - #PBM2TC Water surface wavelets - 2018 | Chris Wojtan, Matthias Müller-Fischer, Miles Macklin, Nuttapong Chentanez, Stefan Jeschke, Tomáš Skřivan | ACM Transactions on Graphics | 13 pp. | doi:10.1145/3197517.3201336 Micro abstract: Represents water waves as spatially varying directional amplitudes, enabling vast interactive simulations with fine detail, moving obstacles, solid coupling, and direct artistic control. ### 16. Assistant Nothing has landed yet — the two big math-heavy books are timing out during the write transaction. The run is durable, so I'll retry the import; it should resume where it left off. #### Tool call: `document_import` ```json { "action": "import", "run_id": "BEVDM5" } ``` ### 17. Tool result: document_import {"error":"exit: {:timeout, {GenServer, :call, [Sheaf.Repo, {:transact, %{{:otel_tracer, :span_ctx} => {:span_ctx, 19128773645894620096700334114538507824, \"0e64115b1ae75308b54ceb90a027ce30\", 5192329855638851707, \"480edc7e5a02507b\", 1, {:tracestate, []}, true, false, true, {:otel_span_ets, #Function<2.130817931/1 in :otel_tracer_server.on_end/1>}}}, \"replace https://m.sheaf.less.rest/YJLGWN\", [retract: #RDF.Graph\n @prefix rdf: .\n @prefix rdfs: .\n @prefix xsd: .\n>, assert: #RDF.Graph\n @prefix doc: .\n @prefix rdf: .\n @prefix rdfs: .\n @prefix xsd: .\n\n \n a doc:ExtractedBlock ;\n doc:sourceBlockType \"Text\" ;\n doc:sourceHtml \"

The ledger would usually be written with the plus signs in the equational zero-term left implicit and with the flow accounts last:

\" ;\n doc:sourceKey \"/page/34/Text/14\" ;\n doc:sourcePage 34 ;\n doc:sourcePageEnd 34 .\n\n \n a doc:ExtractedBlock ;\n doc:sourceBlockType \"Text\" ;\n doc:sourceHtml \"

Remember that in a perfectly competitive market it really doesn't matter who hires whom: so have labor hire \\\"capital\\\". (Samuelson 1957, p. 894; reprinted in Samuelson 1966, p. 351)

\" ;\n doc:sourceKey \"/page/81/Text/2\" ;\n doc:sourcePage 81 ;\n doc:sourcePageEnd 81 .\n\n \n a doc:ExtractedBlock ;\n doc:latex \"C\", \"K\", \"R\", \"RK\", \"S\", \"n\" ;\n doc:sourceBlockType \"Text\" ;\n doc:sourceHtml \"

Consider a machine or other capital asset that has a market price when new of C, that yields K units of capital services (for example, machine-hours) per year for n years, and has a resale or scrap value of S after n years. With the assumption of no maintenance costs, let R be the rental-per-unit capital services so it can be rented or leased for RK a year (paid at the end of the year).

\" ;\n doc:sourceKey \"/page/12/Text/10\" ;\n doc:sourcePage 12 ;\n doc:sourcePageEnd 12 .\n\n \n a doc:Section ;\n rdfs:label \"Library of Congress Cataloging in Publication Data\" ;\n doc:children ;\n doc:sourceBlockType \"SectionHeader\" ;\n doc:sourceHtml \"

Library of Congress Cataloging in Publication Data

\" ;\n doc:sourceKey \"/page/1/SectionHeader/1\" ;\n doc:sourcePage 1 ;\n doc:sourcePageEnd 1 .\n\n \n rdf:first ;\n rdf:rest [] .\n\n \n rdf:first ;\n rdf:rest [] .\n\n \n a doc:ExtractedBlock ;\n doc:latex \"R\", \"R^+\", \"R^n\", \"R^{n+}\" ;\n doc:sourceBlockType \"Text\" ;\n doc:sourceHtml \"

Single-entry accounting uses positive and negative numbers. Single-entry value accounting uses positive and negative scalars in R, while singleentry property accounting uses vectors in R^n with positive and negative components. Normal value accounting, however, uses the double-entry method. Negative numbers do not appear in double-entry accounting. The numbers used in double-entry value accounting are all nonnegative reals in R^+. The vectors used in double-entry property accounting are all nonnegative vectors in R^{n+}.

\" ;\n doc:sourceKey \"/page/27/Text/9\", \"/page/28/Text/2\" ;\n doc:sourcePage 27 ;\n doc:sourcePageEnd 28 .\n\n \n a doc:ExtractedBlock ;\n doc:sourceBlockType \"Text\" ;\n doc:sourceHtml \"

Since every number is entered twice, once on the debit side and once on the credit side, the flash total of entries on the debit side of all accounts is equal to the flash total of entries on the credit side of all accounts. (Ijiri 1966, p. 158; with a similar statement in 1967, p. 113)

\" ;\n doc:sourceKey \"/page/76/Text/5\" ;\n doc:sourcePage 76 ;\n doc:sourcePageEnd 76 .\n\n \n a doc:ExtractedBlock ;\n doc:sourceBlockType \"Text\" ;\n doc:sourceHtml \"

Summing the other temporary accounts yields:

\" ;\n doc:sourceKey \"/page/61/Text/8\" ;\n doc:sourcePage 61 ;\n doc:sourcePageEnd 61 .\n\n \n a doc:ExtractedBlock ;\n doc:sourceBlockType \"PageHeader\" .\n\n [\n rdf:first ;\n rdf:rest []\n ] .\n\n [\n rdf:first ;\n rdf:rest []\n ] .\n\n [\n rdf:first ;\n rdf:rest []\n ] .\n\n [\n rdf:first ;\n rdf:rest []\n ] ...\n...\n>]}, 5000]}}"} ### 18. Assistant tool calls #### Tool call: `document_import` ```json { "action": "import", "run_id": "BEVDM5" } ``` ### 19. Tool result: document_import {"error":"exit: {:timeout, {GenServer, :call, [Sheaf.Repo, {:transact, %{{:otel_tracer, :span_ctx} => {:span_ctx, 338019135839918875689887852302861823379, \"fe4c1e17b0f52a97d23554ee041b6d93\", 4440777735370801348, \"3da0cfd2733d80c4\", 1, {:tracestate, []}, true, false, true, {:otel_span_ets, #Function<2.130817931/1 in :otel_tracer_server.on_end/1>}}}, \"replace https://m.sheaf.less.rest/HVE3VN\", [retract: #RDF.Graph\n @prefix rdf: .\n @prefix rdfs: .\n @prefix xsd: .\n>, assert: #RDF.Graph\n @prefix doc: .\n @prefix rdf: .\n @prefix rdfs: .\n @prefix xsd: .\n\n \n rdf:first ;\n rdf:rest [] .\n\n \n a doc:ExtractedBlock ;\n doc:latex \"WP(T) = (-CASH(T), -FG(T), -RM(T), -1, CASH(T), FG(T) + Q, RM(T) - X, 1, -L, 0),\" ;\n doc:sourceBlockType \"Equation\" ;\n doc:sourceHtml \"\"\"

\nWP(T) = (-CASH(T), -FG(T), -RM(T), -1, CASH(T), FG(T) + Q, RM(T) - X, 1, -L, 0),\n

\"\"\" ;\n doc:sourceKey \"/page/88/Equation/16\" ;\n doc:sourcePage 88 ;\n doc:sourcePageEnd 88 .\n\n \n rdf:first ;\n rdf:rest [] .\n\n \n a doc:Section ;\n rdfs:label \"Capital Theory and Accounting\" ;\n doc:children ;\n doc:sourceBlockType \"SectionHeader\" ;\n doc:sourceHtml \"\"\"

\nCapital Theory and Accounting\n

\"\"\" ;\n doc:sourceKey \"/page/11/SectionHeader/15\" ;\n doc:sourcePage 11 ;\n doc:sourcePageEnd 11 .\n\n \n a doc:ExtractedBlock ;\n doc:sourceBlockType \"Text\" ;\n doc:sourceHtml \"

The property-flow statement is the property-accounting version of the income statement. The summary temporary account, Change in Assets and Liabilities, gives (as its names indicates) the changes in the assets and liabilities—which are channeled through the temporary accounts. The sum of the closing balances in the temporary accounts Whole Product, Sales, Purchases, and Unilateral Transfers gives the closing balance in Change in Assets and Liabilities:

\" ;\n doc:sourceKey \"/page/64/Text/7\" ;\n doc:sourcePage 64 ;\n doc:sourcePageEnd 64 .\n\n \n a doc:ExtractedBlock ;\n doc:sourceBlockType \"Text\" ;\n doc:sourceHtml \"

The final closing transaction closes Change in Assets and Liabilities into Total Assets and Liabilities.

\" ;\n doc:sourceKey \"/page/55/Text/6\" ;\n doc:sourcePage 55 .\n\n \n a doc:ExtractedBlock ;\n doc:sourceBlockType \"PageHeader\" ;\n doc:sourceKey \"/page/38/PageHeader/10\" ;\n doc:sourcePage 38 ;\n doc:sourcePageEnd 38 .\n\n \n a doc:ExtractedBlock ;\n doc:sourceBlockType \"Text\" ;\n doc:sourceHtml \"

The LHS accounts encode as debit-balance T-terms, the RHS accounts encode as credit-balance T-terms, and the sum of the T-terms thus obtained is the equation zero-term.

\" ;\n doc:sourceKey \"/page/32/Text/21\" ;\n doc:sourcePage 32 ;\n doc:sourcePageEnd 32 .\n\n \n a doc:Section ;\n rdfs:label \"The Discovery of Appropriation\" ;\n doc:children ;\n doc:sourceBlockType \"SectionHeader\" ;\n doc:sourceHtml \"

The Discovery of Appropriation

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There is no mathematical error in the Arrow-Debreu model; it (contrary to their claim) simply does not model a perfectly competitive free-enterprise capitalist economy. By assuming that production possibilities are owned, the Arrow-Debreu model does not allow anyone but the owner to demand the requisite inputs. But in a free-enterprise capitalist economy, anyone can bid on the inputs necessary for some technically feasible production opportunity. In such an economy, production, the conversion of inputs into outputs, can be seen as a form of arbitrage, production arbitrage, between input markets and output markets. Traditionally, arbitrage is thought of as an exchange operation, for example, in currency markets. But if the price of Chicago wheat exceeds the price of Kansas City wheat plus the transportation costs, then the operation of buying inputs (Kansas City wheat plus transportation services) and selling the outputs (Chicago wheat) would still be called arbitrage. If the price of a good one period hence exceeds the current price plus storage costs, then:

\" ;\n doc:sourceKey \"/page/89/Text/14\" ;\n doc:sourcePage 89 ;\n doc:sourcePageEnd 89 .\n\n [\n rdf:first ;\n rdf:rest []\n ] .\n\n [\n rdf:first ;\n rdf:rest []\n ] .\n\n [\n rdf:first ;\n rdf:rest []\n ] .\n\n [\n rdf:first ;\n rdf:rest []\n ] .\n\n [\n rdf:first ;\n rdf:rest []\n ] .\n\n [\n rdf:first ;\n rdf:rest []\n ] .\n\n [\n rdf:first ;\n rdf:rest []\n ] ...\n...\n>]}, 5000]}}"} ### 20. Assistant tool calls #### Tool call: `document_import` ```json { "action": "stage", "file_ids": [ "FHS2JZ", "SWBX5G" ], "name": "Small PDFs: Kohr + Heidegger" } ``` ### 21. Tool result: document_import { "status": { "counts": { "pending": 2 }, "files": [ { "error": null, "status": "pending", "file_id": "FHS2JZ", "execution_id": null }, { "error": null, "status": "pending", "file_id": "SWBX5G", "execution_id": null } ] }, "sources": [], "action": "stage", "run_id": "D99Y2K", "file_ids": [ "FHS2JZ", "SWBX5G" ], "run_iri": "https://m.sheaf.less.rest/D99Y2K" } ### 22. Assistant tool calls #### Tool call: `document_import` ```json { "action": "extract", "run_id": "D99Y2K" } ``` ### 23. Tool result: document_import { "status": { "counts": { "completed": 2 }, "files": [ { "error": null, "status": "completed", "file_id": "FHS2JZ", "execution_id": "pex_0oGL-zIp45Cm" }, { "error": null, "status": "completed", "file_id": "SWBX5G", "execution_id": "pex_MVHQKkOzp9TV" } ] }, "action": "extract", "completed": 2, "run_id": "D99Y2K", "submitted": 2 } ### 24. Assistant tool calls #### Tool call: `document_import` ```json { "action": "inspect", "run_id": "D99Y2K" } ``` ### 25. Tool result: document_import { "status": { "counts": { "completed": 2 }, "files": [ { "error": null, "status": "completed", "file_id": "FHS2JZ", "execution_id": "pex_0oGL-zIp45Cm" }, { "error": null, "status": "completed", "file_id": "SWBX5G", "execution_id": "pex_MVHQKkOzp9TV" } ] }, "action": "inspect", "run_id": "D99Y2K", "files": [ { "status": "completed", "file_id": "FHS2JZ", "quality": { "blocks": 100, "pages": 18, "math_expressions": 0, "page_continuations": 10, "block_types": { "ListGroup": 1, "PageFooter": 16, "Picture": 1, "SectionHeader": 2, "Text": 80 }, "empty_equation_blocks": 0, "equation_blocks": 0, "pages_with_math": 0 }, "output_path": "/home/mbrock/sheaf.mikael/var/datalab/D99Y2K/FHS2JZ.datalab.json" }, { "status": "completed", "file_id": "SWBX5G", "quality": { "blocks": 196, "pages": 23, "math_expressions": 0, "page_continuations": 13, "block_types": { "ListGroup": 6, "PageHeader": 39, "SectionHeader": 9, "Text": 142 }, "empty_equation_blocks": 0, "equation_blocks": 0, "pages_with_math": 0 }, "output_path": "/home/mbrock/sheaf.mikael/var/datalab/D99Y2K/SWBX5G.datalab.json" } ] } ### 26. Assistant tool calls #### Tool call: `document_import` ```json { "action": "import", "run_id": "D99Y2K" } ``` ### 27. Tool result: document_import { "next": "Resolve metadata, rebuild indexes, and validate reader pages.", "action": "import", "documents": [ { "status": "imported", "title": null, "file_id": "FHS2JZ", "document_id": "WYH36B", "document_iri": "https://m.sheaf.less.rest/WYH36B" }, { "status": "imported", "title": null, "file_id": "SWBX5G", "document_id": "67REFX", "document_iri": "https://m.sheaf.less.rest/67REFX" } ], "run_id": "D99Y2K" } ### 28. Assistant tool calls #### Tool call: `document_import` ```json { "action": "metadata", "run_id": "D99Y2K" } ``` ### 29. Tool result: document_import { "action": "metadata", "documents": [ { "match": { "reason": "no DOI or ISBN found", "source": "none", "score": 0.0, "accept?": false }, "metadata": { "title": "The City as Convivial Centre", "usage": { "cost": { "total": 6.51e-4, "tokens": 6.51e-4, "tools": 0.0, "storage": 0.0, "images": 0.0, "input_cost": 4.5e-4, "output_cost": 2.01e-4, "reasoning_cost": 0.0, "line_items": [ { "count": 1801, "id": "token.input", "kind": "tokens", "component": "token.input", "cost": 4.5e-4, "quantity": 1801 }, { "count": 134, "id": "token.output", "kind": "tokens", "component": "token.output", "cost": 2.01e-4, "quantity": 134 } ] }, "output_tokens": 134, "input_tokens": 1801, "total_cost": 6.51e-4, "reasoning_tokens": 0, "input_cost": 4.5e-4, "output_cost": 2.01e-4, "reasoning_cost": 0.0, "cached_tokens": 0, "total_tokens": 1935, "tool_usage": {}, "image_usage": {}, "cache_creation_tokens": 0 }, "year": "1974", "model": "google:gemini-3.1-flash-lite-preview", "notes": "The document is a three-page essay or article by Leopold Kohr, titled 'The City as Convivial Centre', dated 1974.", "issue": null, "pages": "1-3", "authors": [ "Leopold Kohr" ], "doi": null, "volume": null, "isbn": null, "source_filename": "833ce0c891a1811fc9095b8edb10abe2539990c8418203a553288a68dee06a55.pdf", "publication": "Not specified", "confidence": "high" }, "document_id": "WYH36B", "wrote": false }, { "match": { "reason": "no DOI or ISBN found", "source": "none", "score": 0.0, "accept?": false }, "metadata": { "title": "The Question Concerning Technology", "usage": { "cost": { "total": 6.5e-4, "tokens": 6.5e-4, "tools": 0.0, "storage": 0.0, "images": 0.0, "input_cost": 4.44e-4, "output_cost": 2.06e-4, "reasoning_cost": 0.0, "line_items": [ { "count": 1777, "id": "token.input", "kind": "tokens", "component": "token.input", "cost": 4.44e-4, "quantity": 1777 }, { "count": 137, "id": "token.output", "kind": "tokens", "component": "token.output", "cost": 2.06e-4, "quantity": 137 } ] }, "output_tokens": 137, "input_tokens": 1777, "total_cost": 6.5e-4, "reasoning_tokens": 0, "input_cost": 4.44e-4, "output_cost": 2.06e-4, "reasoning_cost": 0.0, "cached_tokens": 0, "total_tokens": 1914, "tool_usage": {}, "image_usage": {}, "cache_creation_tokens": 0 }, "year": "1977", "model": "google:gemini-3.1-flash-lite-preview", "notes": "Source listed on the first page indicates: The Question Concerning Technology (1977), pp 3-35. Metadata extracted from this citation and headers/footers.", "issue": null, "pages": "3-35", "authors": [ "Martin Heidegger" ], "doi": null, "volume": null, "isbn": null, "source_filename": "2a8e57e1e5536e59b2f96f6c0ea4c7e495caaa35913a044d34cb634fd07c3b49.pdf", "publication": "The Question Concerning Technology", "confidence": "high" }, "document_id": "67REFX", "wrote": false } ], "run_id": "D99Y2K" } ### 30. Assistant tool calls #### Tool call: `document_import` ```json { "action": "validate", "run_id": "D99Y2K" } ``` #### Tool call: `document_import` ```json { "action": "stage", "file_ids": [ "PHL67G" ], "name": "Gabriel: Nature of Poetic Order" } ``` ### 31. Tool result: document_import { "action": "validate", "documents": [ { "title": "Untitled thesis", "valid": true, "document_id": "WYH36B", "readable_chunks": 74, "reader_path": "/WYH36B", "source_pages": 17 }, { "title": "Untitled thesis", "valid": true, "document_id": "67REFX", "readable_chunks": 144, "reader_path": "/67REFX", "source_pages": 23 } ], "run_id": "D99Y2K", "embedding_status": "completed", "embedding_errors": 0, "search_rows": 9235 } ### 32. Tool result: document_import { "status": { "counts": { "pending": 1 }, "files": [ { "error": null, "status": "pending", "file_id": "PHL67G", "execution_id": null } ] }, "sources": [], "action": "stage", "run_id": "R4AQN5", "file_ids": [ "PHL67G" ], "run_iri": "https://m.sheaf.less.rest/R4AQN5" } ### 33. Assistant tool calls #### Tool call: `document_import` ```json { "action": "extract", "run_id": "R4AQN5" } ``` ### 34. Tool result: document_import { "status": { "counts": { "completed": 1 }, "files": [ { "error": null, "status": "completed", "file_id": "PHL67G", "execution_id": "pex_Byjctlp5sFCd" } ] }, "action": "extract", "completed": 1, "run_id": "R4AQN5", "submitted": 1 } ### 35. Assistant tool calls #### Tool call: `document_import` ```json { "action": "inspect", "run_id": "R4AQN5" } ``` ### 36. Tool result: document_import { "status": { "counts": { "completed": 1 }, "files": [ { "error": null, "status": "completed", "file_id": "PHL67G", "execution_id": "pex_Byjctlp5sFCd" } ] }, "action": "inspect", "run_id": "R4AQN5", "files": [ { "status": "completed", "file_id": "PHL67G", "quality": { "blocks": 774, "pages": 99, "math_expressions": 0, "page_continuations": 0, "block_types": { "Figure": 12, "Footnote": 4, "ListGroup": 78, "PageFooter": 130, "SectionHeader": 111, "Table": 1, "Text": 438 }, "empty_equation_blocks": 0, "equation_blocks": 0, "pages_with_math": 0 }, "output_path": "/home/mbrock/sheaf.mikael/var/datalab/R4AQN5/PHL67G.datalab.json" } ] } ### 37. Assistant tool calls #### Tool call: `document_import` ```json { "action": "import", "run_id": "R4AQN5" } ``` ### 38. Tool result: document_import { "next": "Resolve metadata, rebuild indexes, and validate reader pages.", "action": "import", "documents": [ { "status": "imported", "title": null, "file_id": "PHL67G", "document_id": "AULNWD", "document_iri": "https://m.sheaf.less.rest/AULNWD" } ], "run_id": "R4AQN5" } ### 39. Assistant tool calls #### Tool call: `document_import` ```json { "action": "metadata", "run_id": "R4AQN5" } ``` #### Tool call: `document_import` ```json { "action": "stage", "file_ids": [ "8C28Q3" ], "name": "Ellerman: Economics, Accounting, and Property Theory" } ``` ### 40. Tool result: document_import { "action": "metadata", "documents": [ { "error": "{:pdfunite_failed, 255, \"Unimplemented Feature: Could not merge encrypted files ('/tmp/sheaf-pdf-pages-1243395/page-1.pdf')\\n\"}", "document_id": "AULNWD" } ], "run_id": "R4AQN5" } ### 41. Tool result: document_import { "status": { "counts": { "pending": 1 }, "files": [ { "error": null, "status": "pending", "file_id": "8C28Q3", "execution_id": null } ] }, "sources": [], "action": "stage", "run_id": "Z2YATG", "file_ids": [ "8C28Q3" ], "run_iri": "https://m.sheaf.less.rest/Z2YATG" } ### 42. Assistant tool calls #### Tool call: `document_import` ```json { "action": "validate", "run_id": "R4AQN5" } ``` #### Tool call: `document_import` ```json { "action": "extract", "run_id": "Z2YATG" } ``` ### 43. Tool result: document_import { "action": "validate", "documents": [ { "title": "Untitled thesis", "valid": true, "document_id": "AULNWD", "readable_chunks": 644, "reader_path": "/AULNWD", "source_pages": 99 } ], "run_id": "R4AQN5", "embedding_status": "completed", "embedding_errors": 0, "search_rows": 9671 } ### 44. Tool result: document_import { "status": { "counts": { "completed": 1 }, "files": [ { "error": null, "status": "completed", "file_id": "8C28Q3", "execution_id": "pex_f19MeE3v1570" } ] }, "action": "extract", "completed": 1, "run_id": "Z2YATG", "submitted": 1 } ### 45. Assistant tool calls #### Tool call: `document_import` ```json { "action": "inspect", "run_id": "Z2YATG" } ``` ### 46. Tool result: document_import { "status": { "counts": { "completed": 1 }, "files": [ { "error": null, "status": "completed", "file_id": "8C28Q3", "execution_id": "pex_f19MeE3v1570" } ] }, "action": "inspect", "run_id": "Z2YATG", "files": [ { "status": "completed", "file_id": "8C28Q3", "quality": { "blocks": 1712, "pages": 110, "math_expressions": 2333, "page_continuations": 31, "block_types": { "Caption": 9, "ComplexRegion": 1, "Equation": 272, "Figure": 5, "ListGroup": 21, "PageFooter": 18, "PageHeader": 358, "Picture": 3, "SectionHeader": 125, "Table": 56, "TableOfContents": 2, "Text": 842 }, "empty_equation_blocks": 5, "equation_blocks": 272, "pages_with_math": 79 }, "output_path": "/home/mbrock/sheaf.mikael/var/datalab/Z2YATG/8C28Q3.datalab.json" } ] } ### 47. Assistant tool calls #### Tool call: `document_import` ```json { "action": "import", "run_id": "Z2YATG" } ``` ### 48. Tool result: document_import {"error":"exit: {:timeout, {GenServer, :call, [Sheaf.Repo, {:transact, %{{:otel_tracer, :span_ctx} => {:span_ctx, 117532007697610515988508182942481723009, \"586bd75fc1a8a167fd0bf8a783592e81\", 6178753496312728564, \"55bf5791866c4bf4\", 1, {:tracestate, []}, true, false, true, {:otel_span_ets, #Function<2.130817931/1 in :otel_tracer_server.on_end/1>}}}, \"replace https://m.sheaf.less.rest/RTPUWT\", [retract: #RDF.Graph\n @prefix rdf: .\n @prefix rdfs: .\n @prefix xsd: .\n>, assert: #RDF.Graph\n @prefix doc: .\n @prefix rdf: .\n @prefix rdfs: .\n @prefix xsd: .\n\n \n a doc:ExtractedBlock ;\n doc:sourceBlockType \"Table\" ;\n doc:sourceHtml \"\"\"\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
SuppliersCustomersTotal Assets and Liabilities
(1a)[(0, ..., 0)][(0, 0, X', 0, ..., 0)][(0, Q', 0, ..., 0)][(DEBTS*(T), ASSETS*(T))]
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(4d)[(PQ', 0, ..., 0)][(PQ', 0, ..., 0)][(0, Q', 0, ..., 0)][(DEBTS*(T + 1), ASSETS*(T + 1))]
(C)[(0, ..., 0)][(0, ..., 0)][(0, Q', 0, ..., 0)][(DEBTS*(T + 1), ASSETS*(T + 1))]
(<)[(0, ..., 0)][(0, ..., 0)][(0, Q', 0, ..., 0)][(DEBTS*(T + 1), ASSETS*(T + 1))]
(<)[(0, ..., 0)][(0, ..., 0)][(0, Q', 0, ..., 0)][(DEBTS*(T + 1), ASSETS*(T + 1))]
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(C)[(0, ..., 0)][(0, ..., 0)][(0, Q', 0, ..., 0)][(DEBTS*(T + 1), ASSETS*(T + 1))]
Creditor 1WorkersShareholders
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(4a)[(0, ..., 0, NBV(T), 0)][(0, ..., 0, NBV(T), 0)][(0, ..., 0, NBV(T), 0)][(0, ..., 0, NBV(T), 0)]
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There are six choices in all and the total number of ways of making the six choices is: 6 \\\\times 9 \\\\times 4 \\\\times 2 \\\\times 7 \\\\times 10 = 30,240. But there are two different ways of arriving at this total. There are (6)(9)(4) = 216 ways of making a choice from Row 1 and (2)(7)(10) = 140 ways of making a choice from Row 2. Then there are (216)(140) = 30,240 ways of making a choice from the Row 1 choices and the Row 2 choices. That is the row count.

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\nThe Construction of the Groups\n

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\n[(0, \\\\dots, 0, X' + X'', 0, 0, 0) // (0, 0, 0, 0, P'X', 0, 0, 0, (1 + r)P'X'')].\n

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occurs as such an r or -r, f' is onto. To see that f' on one-to-one, suppose that for r, r', s, and s' in R^+, f'([s // r]) = f'([s' // r']); that is, that r - s = r' - s'. But then r + s' = s + r' so for m = r' and m' = r, we have [s // r] + [r' // r'] = [r // r] + [s' // r'] holding in R^+ \\\\times R^+ \\\\rightarrow [s // r] = [s' // r'] holds in P(R^+). Hence f' is one-to-one, so P(R^+) and R are isomorphic.

\" ;\n doc:sourceKey \"/page/99/Text/13\" ;\n doc:sourcePage 99 ;\n doc:sourcePageEnd 99 .\n\n \n a doc:ExtractedBlock ;\n doc:latex \"P(R^{n+})\", \"R^n\", \"R^{n+} \\\\times R^{n+}\", \"X] + [X' // X'] = [X // X] + [Y' // X']\", \"[Y // X] = [Y' // X']\", \"f'\" ;\n doc:sourceBlockType \"Text\" ;\n doc:sourceHtml \"

X] + [X' // X'] = [X // X] + [Y' // X'] holding in R^{n+} \\\\times R^{n+} so [Y // X] = [Y' // X'] holds in P(R^{n+}). Hence f' is also one-to-one, so P(R^{n+}) and R^n are isomorphic.

\" ;\n doc:sourceKey \"/page/100/Text/8\" ;\n doc:sourcePage 100 ;\n doc:sourcePageEnd 100 .\n\n [\n rdf:first ;\n rdf:rest []\n ] .\n\n [\n rdf:first ;\n rdf:rest []\n ] .\n\n [\n rdf:first \n ] ...\n...\n>]}, 5000]}}"} ### 49. Assistant tool calls #### Tool call: `document_import` ```json { "action": "import", "run_id": "Z2YATG" } ``` ### 50. Tool result: document_import {"error":"exit: {:timeout, {GenServer, :call, [Sheaf.Repo, {:transact, %{{:otel_tracer, :span_ctx} => {:span_ctx, 7324340839023618760055932911855501062, \"05829de24f8ab6b09fbfd9df0c867f06\", 6158983353261431328, \"55791aba64b11a20\", 1, {:tracestate, []}, true, false, true, {:otel_span_ets, #Function<2.130817931/1 in :otel_tracer_server.on_end/1>}}}, \"replace https://m.sheaf.less.rest/YPTU27\", [retract: #RDF.Graph\n @prefix rdf: .\n @prefix rdfs: .\n @prefix xsd: .\n>, assert: #RDF.Graph\n @prefix doc: .\n @prefix rdf: .\n @prefix rdfs: .\n @prefix xsd: .\n\n \n a doc:ExtractedBlock ;\n doc:latex \"M\", \"i: M \\\\rightarrow P(M)\" ;\n doc:sourceBlockType \"ListGroup\" ;\n doc:sourceHtml \"\"\"
    \n
  1. 1. The cancellation law holds in M.
    2. \n
  2. 2. The credit (or debit) homomorphism i: M \\\\rightarrow P(M) is one-to-one.
    3. \n
  3. 3. M is an accounting monoid.
    4. \n
\"\"\" ;\n doc:sourceKey \"/page/101/ListGroup/15\" ;\n doc:sourcePage 101 ;\n doc:sourcePageEnd 101 .\n\n \n a doc:Section ;\n rdfs:label \"Journal\" .\n\n \n a doc:ExtractedBlock ;\n doc:latex \"ASSETS(T) = (CASH(T), FG(T), RM(T), 1, 0, 0, 0, 0, 0, 0),\" ;\n doc:sourceBlockType \"Equation\" ;\n doc:sourceHtml \"\"\"

\nASSETS(T) = (CASH(T), FG(T), RM(T), 1, 0, 0, 0, 0, 0, 0),\n

\"\"\" ;\n doc:sourceKey \"/page/46/Equation/6\" ;\n doc:sourcePage 46 ;\n doc:sourcePageEnd 46 .\n\n \n a doc:ExtractedBlock ;\n doc:sourceBlockType \"Text\" ;\n doc:sourceHtml \"

In the full model of property accounting, the whole-product vector is:

\" ;\n doc:sourceKey \"/page/88/Text/15\" ;\n doc:sourcePage 88 ;\n doc:sourcePageEnd 88 .\n\n \n a doc:ExtractedBlock ;\n doc:sourceBlockType \"PageHeader\" ;\n doc:sourceKey \"/page/100/PageHeader/6\" ;\n doc:sourcePage 100 ;\n doc:sourcePageEnd 100 .\n\n \n a doc:ExtractedBlock ;\n doc:sourceBlockType \"Text\" ;\n doc:sourceHtml \"

Ours is not the first accounting model that presumes to be based on or to utilize the principles of economics (for example, Canning 1929; Edwards and Bell 1961; Alexander 1962). But, economics is not a settled and static discipline. For instance, S.S. Alexander (1962) and many other economists have argued that accountants should follow the lead of capital theory and value assets at the present capitalized value of the future earnings of the asset. This approach would imply adding (unpurchased) goodwill to balance sheets and recognizing changes in goodwill on income statements. Accountants, for a variety of reasons, have resisted these economists' suggestions about goodwill. In our opinion, the accountants are right. The economists' suggested treatment of goodwill and the aspects of capital theory behind the suggestions are incorrect, as will be explained in chapters 12 and 13. Given these controversies in economic theory (particularly, capital theory), it must be pointed out that our model or any other model of accounting based on the Generally Understood Principles of Economics is really based on the particular author's view of those principles.

\" ;\n doc:sourceKey \"/page/8/Text/2\" ;\n doc:sourcePage 8 ;\n doc:sourcePageEnd 8 .\n\n \n a doc:ExtractedBlock ;\n doc:latex \"C(m)\", \"CASH(T+1)\", \"D(T+1)\", \"D(T+1) + NBV(T+1)\", \"GBV(T+1)\", \"NBV(T+1)\", \"P'RM(T+1)\", \"PFG(T+1)\" ;\n doc:sourceBlockType \"Table\" ;\n doc:sourceHtml \"\"\"\n\n\n\n\n\n\n\n\n\n\n\n\n
AssetsLiabilities
CashCASH(T+1)Creditor 1D(T+1)
Final-goods inventoryPFG(T+1)
Raw-materials inventoryP'RM(T+1)
Fixed equipmentC(m)Net WorthNBV(T+1)
Total assetsGBV(T+1)Total Liabilities and net worthD(T+1) + NBV(T+1)
\"\"\" ;\n doc:sourceKey \"/page/69/Table/13\" ;\n doc:sourcePage 69 ;\n doc:sourcePageEnd 69 .\n\n \n a doc:ExtractedBlock ;\n doc:latex \"M\", \"m + m'\", \"m''\" ;\n doc:sourceBlockType \"Text\" ;\n doc:sourceHtml \"

Hence m + m' is an element m'' of M such that:

\" ;\n doc:sourceKey \"/page/98/Text/7\" ;\n doc:sourcePage 98 ;\n doc:sourcePageEnd 98 .\n\n [\n rdf:first ;\n rdf:rest []\n ] .\n\n [\n rdf:first ;\n rdf:rest []\n ] .\n\n [\n rdf:first ;\n rdf:rest []\n ] .\n\n [\n rdf:first ;\n rdf:rest []\n ] .\n\n [\n rdf:first ;\n rdf:rest []\n ] .\n\n [\n rdf:first ;\n rdf:rest []\n ] ...\n...\n>]}, 5000]}}"} ### 51. Assistant tool calls #### Tool call: `web_search` ```json { "query": "Leopold Kohr \"The City as Convivial Centre\" 1974 essay original publication venue" } ``` #### Tool call: `web_search` ```json { "query": "Richard P. Gabriel \"The Nature of Poetic Order\" essay publication year" } ``` #### Tool call: `web_search` ```json { "query": "Heidegger \"The Question Concerning Technology\" 1977 Harper William Lovitt translation pages 3-35" } ``` ### 52. Tool result: web_search WEB SEARCH RESULTS Query: Leopold Kohr "The City as Convivial Centre" 1974 essay original publication venue Leopold Kohr’s **“The City as Convivial Centre”** was originally issued as a standalone number of the independent quarterly **_Tract_**, **no. 12**, edited by Peter Abbs: > Kohr, Leopold. *The City as Convivial Centre*. **Tract 12**. Llanon, Cardiganshire: Gryphon Press, 1974. 36 pp. It was **not originally published in *The Ecologist***; that journal advertised *Tract* no. 12 as an available back issue in December 1974. ([antiqbook.com](https://www.antiqbook.com/search.php?action=search&catalog=CITY+PLANNING&o=inch7&page_num=28&searchform=https%3A%2F%2Fwww.antiqbook.com%2Findex.php%3Fl%3Den%26o%3D&sort_order=author_name+asc%2C+title_first_word&sort_type=asc&utm_source=openai)) Cited sources: - CITY PLANNING: https://www.antiqbook.com/search.php?action=search&catalog=CITY+PLANNING&o=inch7&page_num=28&searchform=https%3A%2F%2Fwww.antiqbook.com%2Findex.php%3Fl%3Den%26o%3D&sort_order=author_name+asc%2C+title_first_word&sort_type=asc&utm_source=openai ### 53. Tool result: web_search WEB SEARCH RESULTS Query: Richard P. Gabriel "The Nature of Poetic Order" essay publication year **1998.** Richard P. Gabriel first presented *The Nature of Poetic Order* at the Warren Wilson Alumni Conference in Mount Holyoke, Massachusetts, in **June 1998**. It is a slide presentation rather than a formally published essay. ([extravagaria.org](https://extravagaria.org/Files/CV.pdf?utm_source=openai)) Cited sources: - Richard Paul Gabriel: https://extravagaria.org/Files/CV.pdf?utm_source=openai ### 54. Tool result: web_search WEB SEARCH RESULTS Query: Heidegger "The Question Concerning Technology" 1977 Harper William Lovitt translation pages 3-35 Here are standard citations for the essay, published on pages 3–35 of *The Question Concerning Technology and Other Essays*, translated by William Lovitt. ([lib.ccsdetroit.edu](https://lib.ccsdetroit.edu/cgi-bin/koha/opac-MARCdetail.pl?biblionumber=67772&utm_source=openai)) **MLA 9** > Heidegger, Martin. “The Question Concerning Technology.” *The Question Concerning Technology and Other Essays*, translated by William Lovitt, Harper & Row, 1977, pp. 3–35. **APA 7** > Heidegger, M. (1977). The question concerning technology (W. Lovitt, Trans.). In *The question concerning technology and other essays* (pp. 3–35). Harper & Row. **Chicago** > Heidegger, Martin. “The Question Concerning Technology.” In *The Question Concerning Technology and Other Essays*, translated by William Lovitt, 3–35. New York: Harper & Row, 1977. **MLA in-text citation:** > (Heidegger 12) Replace **12** with the specific page being cited. Cited sources: - MARC view for: The question concerning technology, and other essays / › College for Creative Studies catalog: https://lib.ccsdetroit.edu/cgi-bin/koha/opac-MARCdetail.pl?biblionumber=67772&utm_source=openai ### 55. Assistant tool calls #### Tool call: `update_document_metadata` ```json { "authors": [ "Leopold Kohr" ], "document_id": "WYH36B", "kind": "report", "micro_abstract": "Kohr's essay arguing that cities exist for convivial life rather than economic function, and that human-scale size is what lets a city serve as a centre of leisure, culture, and encounter.", "title": "The City as Convivial Centre", "venue": "Tract, no. 12 (Gryphon Press)", "year": "1974" } ``` #### Tool call: `update_document_metadata` ```json { "authors": [ "Martin Heidegger" ], "document_id": "67REFX", "kind": "book_chapter", "micro_abstract": "Heidegger's essay on the essence of technology as Enframing (Gestell), a mode of revealing that reduces the world to standing-reserve, and on art as a possible saving power.", "title": "The Question Concerning Technology", "venue": "The Question Concerning Technology and Other Essays (Harper & Row)", "year": "1977" } ``` #### Tool call: `update_document_metadata` ```json { "authors": [ "Richard P. Gabriel" ], "document_id": "AULNWD", "kind": "research_paper", "micro_abstract": "Gabriel's slide essay relating poetry's formal order to Christopher Alexander's ideas of generative structure, exploring how constraint and pattern produce living order in creative work.", "title": "The Nature of Poetic Order", "venue": "Warren Wilson Alumni Conference, Mount Holyoke", "year": "1998" } ``` ### 56. Tool result: update_document_metadata Updated metadata for #WYH36B: kind, title, authors, year, venue, micro_abstract ### 57. Tool result: update_document_metadata {"error":"\"exit: {:timeout, {GenServer, :call, [Sheaf.Repo, {:transact, %{{:otel_tracer, :span_ctx} => {:span_ctx, 51675112812828860220177515737305271499, \\\"26e043c455b695e5ac58d489b78f4ccb\\\", 5917727167382811907, \\\"521ffd815987f503\\\", 1, {:tracestate, []}, true, false, true, {:otel_span_ets, #Function<2.130817931/1 in :otel_tracer_server.on_end/1>}}}, \\\"replace https://less.rest/sheaf/metadata\\\", [retract: #RDF.Graph\\n @prefix bibo: .\\n @prefix doc: .\\n @prefix fabio: .\\n @prefix rdf: .\\n @prefix rdfs: .\\n @prefix xsd: .\\n\\n \\n \\\"10.1177/0309133318825284\\\" .\\n\\n \\n a ;\\n \\\" \\\" .\\n\\n \\n a ;\\n \\\"Peatfield\\\" ;\\n \\\"A. A. D.\\\" ;\\n \\\"A. A. D. Peatfield\\\" .\\n\\n \\n a ;\\n \\\"Wojtan\\\" ;\\n \\\"Chris\\\" ;\\n \\\"Chris Wojtan\\\" .\\n\\n \\n a ;\\n \\\"Sofia\\\" ;\\n \\\"Giulia\\\" ;\\n \\\"Giulia Sofia\\\" .\\n\\n \\n a ;\\n \\\"Müller-Fischer\\\" ;\\n \\\"Matthias\\\" ;\\n \\\"Matthias Müller-Fischer\\\" .\\n\\n \\n a ;\\n ;\\n \\\"Tarolli\\\" ;\\n \\\"Paolo\\\" ;\\n \\\"Paolo Tarolli\\\" .\\n\\n \\n a bibo:Journal ;\\n \\\"ACM Transactions on Graphics\\\" ;\\n \\\"0730-0301\\\", \\\"1557-7368\\\" ;\\n bibo:issn \\\"0730-0301\\\", \\\"1557-7368\\\" ;\\n \\\"urn:issn:0730-0301\\\", \\\"urn:issn:1557-7368\\\" .\\n\\n \\n a ;\\n \\\"B. Crespin\\\" .\\n\\n \\n a doc:Document, doc:Paper ;\\n bibo:numPages 7 ;\\n fabio:isRepresentationOf ;\\n doc:sourceFile ;\\n doc:sourceKey \\\"/home/mbrock/sheaf.mikael/var/datalab/4M7CJ9/94L2YJ.datalab.json\\\" .\\n\\n \\n rdfs:label \\\"Journal of Imaging\\\" ;\\n \\\"Journal of Imaging\\\" .\\n\\n \\n a ;\\n \\\"Adrien Peytavie\\\" .\\n\\n \\n a ;\\n \\\"Bedrich Benes\\\" .\\n\\n \\n a doc:Document, doc:Paper ;\\n bibo:numPages 12 ;\\n fabio:isRepresentationOf ;\\n doc:sourceFile ;\\n doc:sourceKey \\\"/home/mbrock/sheaf.mikael/var/datalab/A7DTK3/GTA\" <> ..."} ### 58. Tool result: update_document_metadata {"error":"\"exit: {:timeout, {GenServer, :call, [Sheaf.Repo, {:transact, %{{:otel_tracer, :span_ctx} => {:span_ctx, 1129126418598930895391320089443108509, \\\"00d9763b04da7851d281f563aa97069d\\\", 9058224198698691519, \\\"7db546ea8b486bbf\\\", 1, {:tracestate, []}, true, false, true, {:otel_span_ets, #Function<2.130817931/1 in :otel_tracer_server.on_end/1>}}}, \\\"replace https://less.rest/sheaf/metadata\\\", [retract: #RDF.Graph\\n @prefix bibo: .\\n @prefix doc: .\\n @prefix fabio: .\\n @prefix rdf: .\\n @prefix rdfs: .\\n @prefix xsd: .\\n\\n \\n \\\"10.1177/0309133318825284\\\" .\\n\\n \\n a ;\\n \\\" \\\" .\\n\\n \\n a ;\\n \\\"Peatfield\\\" ;\\n \\\"A. A. D.\\\" ;\\n \\\"A. A. D. Peatfield\\\" .\\n\\n \\n a ;\\n \\\"Wojtan\\\" ;\\n \\\"Chris\\\" ;\\n \\\"Chris Wojtan\\\" .\\n\\n \\n a ;\\n \\\"Sofia\\\" ;\\n \\\"Giulia\\\" ;\\n \\\"Giulia Sofia\\\" .\\n\\n \\n a ;\\n \\\"Müller-Fischer\\\" ;\\n \\\"Matthias\\\" ;\\n \\\"Matthias Müller-Fischer\\\" .\\n\\n \\n a ;\\n ;\\n \\\"Tarolli\\\" ;\\n \\\"Paolo\\\" ;\\n \\\"Paolo Tarolli\\\" .\\n\\n \\n a bibo:Journal ;\\n \\\"ACM Transactions on Graphics\\\" ;\\n \\\"0730-0301\\\", \\\"1557-7368\\\" ;\\n bibo:issn \\\"0730-0301\\\", \\\"1557-7368\\\" ;\\n \\\"urn:issn:0730-0301\\\", \\\"urn:issn:1557-7368\\\" .\\n\\n \\n a ;\\n \\\"B. Crespin\\\" .\\n\\n \\n a doc:Document, doc:Paper ;\\n bibo:numPages 7 ;\\n fabio:isRepresentationOf ;\\n doc:sourceFile ;\\n doc:sourceKey \\\"/home/mbrock/sheaf.mikael/var/datalab/4M7CJ9/94L2YJ.datalab.json\\\" .\\n\\n \\n rdfs:label \\\"Journal of Imaging\\\" ;\\n \\\"Journal of Imaging\\\" .\\n\\n \\n a ;\\n \\\"Adrien Peytavie\\\" .\\n\\n \\n a ;\\n \\\"Bedrich Benes\\\" .\\n\\n \\n a doc:Document, doc:Paper ;\\n bibo:numPages 12 ;\\n fabio:isRepresentationOf ;\\n doc:sourceFile ;\\n doc:sourceKey \\\"/home/mbrock/sheaf.mikael/var/datalab/A7DTK3/GTAS\" <> ..."} ### 59. Assistant The first metadata update succeeded; the two concurrent ones collided on the shared metadata graph. Retrying them one at a time. #### Tool call: `update_document_metadata` ```json { "authors": [ "Martin Heidegger" ], "document_id": "67REFX", "kind": "book_chapter", "micro_abstract": "Heidegger's essay on the essence of technology as Enframing (Gestell), a mode of revealing that reduces the world to standing-reserve, and on art as a possible saving power.", "title": "The Question Concerning Technology", "venue": "The Question Concerning Technology and Other Essays (Harper & Row)", "year": "1977" } ``` ### 60. Tool result: update_document_metadata Updated metadata for #67REFX: kind, title, authors, year, venue, micro_abstract ### 61. Assistant tool calls #### Tool call: `update_document_metadata` ```json { "authors": [ "Richard P. Gabriel" ], "document_id": "AULNWD", "kind": "research_paper", "micro_abstract": "Gabriel's slide essay relating poetry's formal order to Christopher Alexander's ideas of generative structure, exploring how constraint and pattern produce living order in creative work.", "title": "The Nature of Poetic Order", "venue": "Warren Wilson Alumni Conference, Mount Holyoke", "year": "1998" } ``` ### 62. Tool result: update_document_metadata Updated metadata for #AULNWD: kind, title, authors, year, venue, micro_abstract ### 63. Assistant tool calls #### Tool call: `document_import` ```json { "action": "import", "run_id": "Z2YATG" } ``` ### 64. Tool result: document_import {"error":"exit: {:timeout, {GenServer, :call, [Sheaf.Repo, {:transact, %{{:otel_tracer, :span_ctx} => {:span_ctx, 26985491341436441316459893906209218198, \"144d377209fdd1ecc50955eb4f079e96\", 9734030863235695043, \"8716397f3bda41c3\", 1, {:tracestate, []}, true, false, true, {:otel_span_ets, #Function<2.130817931/1 in :otel_tracer_server.on_end/1>}}}, \"replace https://m.sheaf.less.rest/6HRK8W\", [retract: #RDF.Graph\n @prefix rdf: .\n @prefix rdfs: .\n @prefix xsd: .\n>, assert: #RDF.Graph\n @prefix doc: .\n @prefix rdf: .\n @prefix rdfs: .\n @prefix xsd: .\n\n \n a doc:ExtractedBlock ;\n doc:sourceBlockType \"PageFooter\" ;\n doc:sourceKey \"/page/77/PageFooter/5\" ;\n doc:sourcePage 77 ;\n doc:sourcePageEnd 77 .\n\n \n a doc:ExtractedBlock ;\n doc:sourceBlockType \"PageHeader\" ;\n doc:sourceKey \"/page/73/PageHeader/9\" ;\n doc:sourcePage 73 ;\n doc:sourcePageEnd 73 .\n\n \n a doc:Section ;\n rdfs:label \"The Discounted-Cash-Flow Formula\" ;\n doc:children ;\n doc:sourceBlockType \"SectionHeader\" ;\n doc:sourceHtml \"\"\"

\nThe Discounted-Cash-Flow Formula\n

\"\"\" ;\n doc:sourceKey \"/page/83/SectionHeader/7\" ;\n doc:sourcePage 83 ;\n doc:sourcePageEnd 83 .\n\n \n rdf:first ;\n rdf:rest [] .\n\n \n a doc:ExtractedBlock ;\n doc:sourceBlockType \"Text\" ;\n doc:sourceHtml \"

Depreciation accounting has wandered far afield from the basic idea of depreciation as reflecting the fall in the value of a durable asset over a time period. The use of a variety of economically ad hoc depreciation procedures and accelerated-depreciation tax gimmicks has undermined the interpretation of book amounts as serious appraisals of asset values. The book amounts are seen more as mere reservoirs of future tax deductions.

\" ;\n doc:sourceKey \"/page/13/Text/3\" ;\n doc:sourcePage 13 ;\n doc:sourcePageEnd 13 .\n\n \n rdf:first ;\n rdf:rest [] .\n\n \n a doc:ExtractedBlock ;\n doc:sourceBlockType \"PageHeader\" ;\n doc:sourceKey \"/page/12/PageHeader/17\" ;\n doc:sourcePage 12 ;\n doc:sourcePageEnd 12 .\n\n \n a doc:ExtractedBlock ;\n doc:latex \"\\\\text{Rental} = \\\\text{Depreciation} + \\\\text{Interest}.\" ;\n doc:sourceBlockType \"Equation\" ;\n doc:sourceHtml \"\"\"

\n\\\\text{Rental} = \\\\text{Depreciation} + \\\\text{Interest}.\n

\"\"\" ;\n doc:sourceKey \"/page/12/Equation/27\" ;\n doc:sourcePage 12 ;\n doc:sourcePageEnd 12 .\n\n \n a doc:ExtractedBlock ;\n doc:latex \"C(0)\", \"C(0) - C(m - 1)\", \"C(m - 1)\", \"CASH(T)\", \"D(T)\", \"D(T) + NBV(T)\", \"GBV(T)\", \"NBV(T)\", \"P'RM(T)\" ;\n doc:sourceBlockType \"Table\" ;\n doc:sourceHtml \"\"\"\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n
AssetsLiabilities
CashCASH(T)Creditor 1D(T)
Final-goods inventory0
Raw-materials inventoryP'RM(T)
Fixed equipmentC(0)Net worthNBV(T)
– Accumulated depreciationC(0) - C(m - 1)
Net fixed equipmentC(m - 1)
Total assetsGBV(T)Total liabilities and net worthD(T) + NBV(T)
\"\"\" ;\n doc:sourceKey \"/page/23/Table/11\" ;\n doc:sourcePage 23 ;\n doc:sourcePageEnd 23 .\n\n [\n rdf:first ;\n rdf:rest []\n ] .\n\n [\n rdf:first ;\n rdf:rest []\n ] .\n\n [\n rdf:first ;\n rdf:rest []\n ] .\n\n [\n rdf:first ;\n rdf:rest []\n ] .\n\n [\n rdf:first ;\n rdf:rest []\n ] .\n\n [\n rdf:first ;\n rdf:rest []\n ] .\n\n [\n rdf:first ;\n rdf:rest []\n ] ...\n...\n>]}, 5000]}}"} ### 65. Assistant tool calls #### Tool call: `write_note` ```json { "block_ids": [ "WYH36B", "67REFX", "AULNWD" ], "text": "Import status for the five uploaded PDFs (2025 batch): #WYH36B (Kohr, The City as Convivial Centre, 1974), #67REFX (Heidegger, The Question Concerning Technology, 1977), and #AULNWD (Gabriel, The Nature of Poetic Order, 1998) imported and validated with metadata set. Two Ellerman books FAILED to import due to a repeatable 5-second database write-transaction timeout on their large block graphs: \"Economics, Accounting, and Property Theory\" (file 8C28Q3, 110 pp, 1712 blocks; extraction completed in run Z2YATG) and \"On the Algebraic Models for Accounting Systems\" / vector accounting book (file F6P4LS, 255 pp, 2847 blocks; extraction completed in run BEVDM5). Both runs have completed Datalab extractions on disk, so re-extraction is not needed; retry the import action on runs Z2YATG (and stage F6P4LS separately) once the repo transaction timeout is raised or chunked imports are supported.", "title": "PDF import batch: 3 of 5 imported; 2 large Ellerman books blocked by transaction timeout" } ``` ### 66. Tool result: write_note NOTE SAVED #QLR9JX IRI: https://m.sheaf.less.rest/QLR9JX ### 67. Assistant Done — three of the five PDFs are imported; two are blocked by a system limit. Summary: **Imported and validated, with metadata set:** - #WYH36B — Leopold Kohr, *The City as Convivial Centre* (Tract 12, Gryphon Press, 1974) - #67REFX — Martin Heidegger, *The Question Concerning Technology* (in *The Question Concerning Technology and Other Essays*, Harper & Row, 1977) - #AULNWD — Richard P. Gabriel, *The Nature of Poetic Order* (Warren Wilson Alumni Conference, 1998) **Failed to import (not a content problem):** - *Economics, Accounting, and Property Theory* (file 8C28Q3, 110 pp, 1712 blocks) - *Algebraic Models for Accounting Systems* (file F6P4LS, 255 pp, 2847 blocks) Both extracted cleanly through Datalab, but writing their block graphs into the store repeatedly hits a hard 5-second database transaction timeout — I retried six times, including isolating each book in its own run, with identical results. The extractions are preserved in runs Z2YATG and BEVDM5, so no re-extraction is needed once the timeout is raised or the importer supports chunked writes; retrying `import` on those runs will resume from there. I recorded the full status and resume instructions in note #QLR9JX. One side note: the Gabriel PDF is encrypted, which broke the automatic metadata resolver (harmless — I set its metadata manually from verified sources). ### 68. User ah, ok, i think we fixed this timeout problem now, so it'll work in the future, and i believe the failed stuff is now imported, let's look at the folders we have, some ellerman stuff was misfoldered and we might want to move some stuff, can you suggest a good folder set, and also write microabstracts for the new ones? ### 69. Assistant tool calls #### Tool call: `list_documents` ```json {} ``` ### 70. Tool result: list_documents FOLDERS - Living Structure, Wholeness & Beauty - Procedural Generation & Co-Creation - Roads, Trails & Movement - Terrain, Hydrology & Erosion - Water Simulation & Rendering Living Structure, Wholeness & Beauty (10) - #GANFP9 A Fundamental Duality in the Mathematical and Natural Sciences: From Logic to Biology - 2024 | David Ellerman | 53 pp. Micro abstract: Traces an overlooked subset–partition duality—from logic and category theory through entropy and quantum indefiniteness to selectionist and generative mechanisms in biology. - #MH5J8D Beautimeter: Harnessing GPT for Assessing Architectural and Urban Beauty Based on the 15 Properties of Living Structure - 2025 | Bin Jiang | AI | 12 pp. | doi:10.3390/ai6040074 Micro abstract: Presents Beautimeter, a GPT-based tool that scores buildings and urban scenes against Christopher Alexander’s 15 properties of living structure to assess their coherence and beauty. - #XW22YY Generative Codes: The Path to Building Welcoming, Beautiful, Sustainable Neighborhoods - 2005 | Brian Hanson, Christopher Alexander, Maggie Moore Alexander, Michael Mehaffy, Randall Schmidt | Center for Environmental Structure | 21 pp. Micro abstract: Argues that living neighborhoods arise from generative codes: ordered, participatory steps that let buildings and public spaces unfold from local people, land, and context. - #SKRF4C Geography as a Science of the Earth’s Surface Founded on the Third View of Space - 2022 | Bin Jiang | Annals of GIS | 14 pp. | doi:10.1080/19475683.2021.1966502 Micro abstract: Recasts geography around an organismic view of space, using scaling and spatial dependence to understand—and deliberately create—places with greater living structure. - #PXG56P Harmony-Seeking Computations: A Science of Non-Classical Dynamics Based on the Progressive Evolution of the Larger Whole - 2009 | Christopher Alexander | Unpublished manuscript | 66 pp. Micro abstract: Proposes harmony-seeking computation as a creative process that repeatedly strengthens latent centers in a configuration while preserving and deepening the larger whole. - #MJKTBB Living Images: A Recursive Approach to Computing the Structural Beauty of Images or the Livingness of Space - 2023 | Bin Jiang, Chris de Rijke | Annals of the American Association of Geographers | 19 pp. | doi:10.1080/24694452.2023.2178376 Micro abstract: Measures an image’s structural beauty by recursively extracting its nested substructures, revealing a compact hierarchy that also captures visual saliency. - #C8FHDZ On implication and negation in partition logic - 2025 | , David Ellerman | Open Journal of Mathematical Sciences | 9 pp. | doi:10.30538/oms2025.0250 Micro abstract: Develops implication as a refinement-sensitive operation on set partitions, showing how relative negation yields local Boolean cores within the non-distributive algebra of partitions. - #3XSLTA Structural Beauty: A Structure-Based Computational Approach to Quantifying the Beauty of an Image - 2021 | Bin Jiang, Chris de Rijke | Journal of Imaging | 15 pp. | doi:10.3390/jimaging7050078 Micro abstract: Proposes a quantitative measure of structural beauty based on how many substructures an image contains and how strongly they form a hierarchy across scales. - #ZU8GZV Structure-Preserving Transformations - 2002 | Christopher Alexander | The Nature of Order, Book Two: The Process of Creating Life | 4 pp. | doi:10.2307/j.ctv27ftw6c.5 Micro abstract: Explains structure-preserving transformations: incremental changes that extend the centers and relationships already present in a place rather than weakening its wholeness. - #BYG3BQ Wholeness as a Hierarchical Graph to Capture the Nature of Space - 2015 | Bin Jiang | International Journal of Geographical Information Science | 14 pp. | doi:10.1080/13658816.2015.1038542 Micro abstract: Models spatial wholeness as a hierarchical graph of mutually reinforcing centers, using PageRank and scaling depth to quantify the life of parts and wholes. Procedural Generation & Co-Creation (14) - #ABD2B8 Between Tech and Art: The Vegetation of Horizon Zero Dawn - 2018 | Gilbert Sanders, Guerrilla Games | Game Developers Conference (GDC) 2018 | 87 pp. Micro abstract: A production breakdown of Horizon Zero Dawn’s vegetation pipeline, covering global wind simulation, layered foliage motion, coverage-preserving alpha mipmaps, shading, asset LODs, placement, and cascaded shadows. - #4TH488 Explainable AI for Designers: A Human-Centered Perspective on Mixed-Initiative Co-Creation - 2018 | Antonios Liapis, G. Michael Youngblood, Jichen Zhu, Rafael Bidarra, Sebastian Risi | 2018 IEEE Conference on Computational Intelligence and Games (CIG) | 8 pp. | doi:10.1109/CIG.2018.8490433 Micro abstract: Defines explainable AI for game designers, mapping co-creative systems by their explainability, initiative, and domain overlap so explanations serve concrete design tasks. - #9NQ94D Extracting Physics from Blended Platformer Game Levels - 2020 | Adam Summerville, Anurag Sarkar, Joseph C. Osborn, Sam Snodgrass | Joint Proceedings of the AIIDE 2020 Workshops (CEUR Workshop Proceedings, Vol. 2862) | 7 pp. Micro abstract: Infers playable jump physics from generated platformer levels, including hybrid physics models for levels that blend the geometry and style of multiple games. - #66Q3W3 Ghost of Tsushima: Procedural Grass - 2021 | Eric Wohllaib, Sucker Punch Productions | Game Developers Conference (GDC) 2021 | 55 pp. Micro abstract: Explains Ghost of Tsushima’s compute-driven grass pipeline, from tiled placement and culling to indirect drawing, cubic Bézier blade geometry, variable LOD, wind animation, and material shading. - #QHMFH2 Improved Alpha Testing Using Hashed Sampling - 2019 | Chris Wyman, Morgan McGuire | IEEE Transactions on Visualization and Computer Graphics | 12 pp. | doi:10.1109/TVCG.2017.2739149 Micro abstract: Develops hashed alpha testing, a stable quasi-random thresholding method that preserves distant alpha-mapped foliage and hair while controlling flicker, anisotropy, and interactions with TAA and alpha-to-coverage. - #7GR3AQ Procedural Content Generation through Quality Diversity - 2019 | Ahmed Khalifa, Antonios Liapis, Daniele Gravina, Georgios N. Yannakakis, Julian Togelius | 2019 IEEE Conference on Games (CoG) | 8 pp. | doi:10.1109/CIG.2019.8848053 Micro abstract: Argues for quality-diversity algorithms in procedural generation, producing broad collections of varied, playable content while exposing the design space for exploration and co-creation. - #CQBDX4 Procedural Content Generation via Machine Learning (PCGML) - 2018 | Aaron Isaksen, Adam Summerville, Amy K. Hoover, Andy Nealen, Christoffer Holmgård, Julian Togelius, Matthew Guzdial, Sam Snodgrass | IEEE Transactions on Games | 15 pp. | doi:10.1109/TG.2018.2846639 Micro abstract: Defines and surveys PCGML: generating functional game content directly from models trained on existing examples, with uses spanning creation, completion, repair, critique, and compression. - #EARFEK Procedural Generation of Villages on Arbitrary Terrains - 2012 | Adrien Bernhardt, Adrien Peytavie, Arnaud Emilien, Eric Galin, Marie-Paule Cani | The Visual Computer | 10 pp. | doi:10.1007/s00371-012-0699-7 Micro abstract: Presents a three-stage procedural model that grows terrain-responsive village roads and settlements, partitions land into plausible parcels, and generates slope-adapted buildings with open shape grammars. - #EDURTK Real-Time GPU Tree Generation - 2025 | Bastian Kuth, Carsten Faber, Dominik Baumeister, Max Oberberger, Pirmin Pfeifer, Quirin Meyer, Seyedmasih Tabaei | High-Performance Graphics – Symposium Papers | 10 pp. | doi:10.2312/hpg.20251168 Micro abstract: Introduces a GPU work-graph pipeline that generates, animates, edits, and continuously LODs detailed seasonal trees every frame, replacing gigabytes of baked geometry with kilobytes of parameters. - #GBXEP3 Realistic Modeling and Rendering of Plant Ecosystems - 1998 | Bernd Lintermann, Matt Pharr, Oliver Deussen, Pat Hanrahan, Przemyslaw Prusinkiewicz, Radomír Měch | Proceedings of SIGGRAPH ’98 | 12 pp. | doi:10.1145/280814.280898 Micro abstract: Presents a foundational pipeline for authoring plant ecosystems through terrain design, ecological simulation, procedural plant models, approximate instancing, and efficient rendering of billion-primitive scenes. - #BDBBL6 Real‐time Realistic Rendering and Lighting of Forests - 2012 | Eric Bruneton, Fabrice Neyret | Computer Graphics Forum | 11 pp. | doi:10.1111/j.1467-8659.2012.03016.x Micro abstract: Combines detailed z-field trees with terrain shader-maps to render immense forests in real time, preserving sun, sky, canopy, and ground-lighting effects through seamless, scale-consistent transitions. - #PQ68ZH Responsive Real-Time Grass Rendering for General 3D Scenes - 2017 | Klemens Jahrmann, Michael Wimmer | Proceedings of the 2017 Symposium on Interactive 3D Graphics and Games (I3D ’17) | 10 pp. | doi:10.1145/3023368.3023380 Micro abstract: Renders every grass blade as responsive tessellated geometry on arbitrary 3D surfaces, with per-blade wind, gravity, and collision physics plus aggressive culling that retains dense fields in real time. - #WZ8DHP Runtime Evaluation of Procedural Content Generation in an Endless Runner Game Using Autonomous Agents - 2026 | Rishabh Kar | arXiv | 25 pp. | doi:10.48550/arXiv.2605.01783 Micro abstract: Integrates procedural generation and validation in an endless runner, using aerial and ground agents to detect blocked or unnavigable content before the player reaches it. - #NRBMD5 Towards Friendly Mixed Initiative Procedural Content Generation: Three Pillars of Industry - 2020 | Frederic Fol Leymarie, Gorm Lai, William Latham | Proceedings of the International Conference on the Foundations of Digital Games (FDG '20) | 4 pp. | doi:10.1145/3402942.3402946 Micro abstract: Distills three requirements for industry-friendly co-creative PCG tools: preserve designer control, keep feedback loops short, and fit into existing production pipelines. Roads, Trails & Movement (8) - #G3TBNG A Sequential Two-Step Algorithm for Fast Generation of Vehicle Racing Trajectories - 2016 | J. Christian Gerdes, John Subosits, Nitin R. Kapania | Journal of Dynamic Systems, Measurement, and Control | 12 pp. | doi:10.1115/1.4033311 Micro abstract: Generates near-optimal racing trajectories quickly by alternating between a minimum-time speed profile and a convex path update that reduces curvature. - #B6P8L4 Active walker model for the formation of human and animal trail systems - 1997 | Dirk Helbing, Frank Schweitzer, Joachim Keltsch, Péter Molnár | Physical Review E | 34 pp. | doi:10.1103/physreve.56.2527 Micro abstract: Models trail systems as self-organization: walkers reinforce attractive routes while unused traces fade, producing dendritic ant trails and low-detour pedestrian networks. - #V4TQYB Interactive procedural street modeling - 2008 | Eugene Zhang, Gregory Esch, Guoning Chen, Pascal Müller, Peter Wonka | ACM Transactions on Graphics | 10 pp. | doi:10.1145/1360612.1360702 Micro abstract: Lets designers generate and edit large street networks through tensor fields, combining procedural speed with brush-like global and local control over street patterns. - #UYLTYJ Modelling the Evolution of Human Trail Systems - 1997 | Dirk Helbing, Joachim Keltsch, Péter Molnár | Nature | 11 pp. | doi:10.1038/40353 Micro abstract: Shows how pedestrian trails emerge through feedback between destination-seeking walkers, existing paths, and vegetation recovery, yielding a compromise between directness and shared infrastructure. - #GY93FG Mountain Trail Formation and the Active Walker Model - 2009 | J. P. Hague, S. J. Gilks | International Journal of Modern Physics C | 22 pp. | doi:10.1142/S0129183109014059 Micro abstract: Extends the active-walker model to steep terrain, explaining zigzag mountain trails through slope avoidance, directional persistence, and mutual reinforcement by ascending and descending walkers. - #LXV9AT Principles of Trail Layout and Design - 2019 | California State Parks | California State Parks Trails Handbook | 64 pp. Micro abstract: A field-oriented guide to durable trail design, emphasizing curvilinear alignment, natural drainage, sustainable grades, control points, and close reading of landform and soils. - #XDEFZS Procedural Generation of Roads - 2010 | A. Peytavie, E. Galin, E. Guérin, N. Maréchal | Computer Graphics Forum | 10 pp. | doi:10.1111/j.1467-8659.2009.01612.x Micro abstract: Automatically routes and constructs roads with an anisotropic shortest-path method that weighs slope and obstacles while treating surface segments, bridges, and tunnels consistently. - #ARP5U7 The Topography of Minoan Peak Sanctuaries - 1983 | A. A. D. Peatfield | The Annual of the British School at Athens | 8 pp. | doi:10.1017/s0068245400019729 Micro abstract: Argues that Minoan peak sanctuaries were chosen for visibility and proximity to local settlements, forming a beacon-like sacred network whose contraction tracked settlement abandonment rather than cultic collapse. Terrain, Hydrology & Erosion (8) - #NV2YRW FastFlow: GPU Acceleration of Flow and Depression Routing for Landscape Simulation - 2024 | Aryamaan Jain, Bernhard Kerbl, Brandon Finley, Guillaume Cordonnier, James Gain | Computer Graphics Forum | 13 pp. | doi:10.1111/cgf.15243 Micro abstract: A GPU framework for routing surface flow through terrain and its depressions fast enough to make erosion, river, lake, and ecosystem simulations interactive. - #2284QZ From features to fingerprints: A general diagnostic framework for anthropogenic geomorphology - 2019 | Damian Evans, Erle C Ellis, Giulia Sofia, Paolo Tarolli, Wenfang Cao | Progress in Physical Geography: Earth and Environment | 34 pp. | doi:10.1177/0309133318825284 Micro abstract: Integrates geomorphology, archaeology, and high-resolution remote sensing into a framework for reading anthropogenic landforms as landscape-scale sociocultural fingerprints. - #96ZMGK Large Scale Terrain Generation from Tectonic Uplift and Fluvial Erosion - 2016 | Adrien Peytavie, Bedrich Benes, Guillaume Cordonnier, Jean Braun, Marie-Paule Cani, Éric Galin, Éric Guérin | Computer Graphics Forum | 11 pp. | doi:10.1111/cgf.12820 Micro abstract: Generates large, controllable mountain terrains by coupling user-painted tectonic uplift with fluvial erosion, then turning the resulting stream graph into detailed landforms. - #K82AS7 Legacy sediment: Definitions and processes of episodically produced anthropogenic sediment - 2013 | L. Allan James | Anthropocene | 11 pp. | doi:10.1016/j.ancene.2013.04.001 Micro abstract: Broadens legacy sediment to episodically produced anthropogenic alluvium and colluvium, and explains its deposition, storage, and remobilization through sediment delivery–transport capacity dynamics. - #DWXKYQ Physically-based analytical erosion for fast terrain generation - 2024 | Boris Gailleton, Guillaume Cordonnier, Petros Tzathas, Philippe Steer | Computer Graphics Forum | 14 pp. | doi:10.1111/cgf.15033 Micro abstract: Turns the stream power law into an interactive terrain tool, replacing thousands of erosion time steps with analytical solutions and a direct control for landscape age. - #MTDKDE Priority-Flood: An Optimal Depression-Filling and Watershed-Labeling Algorithm for Digital Elevation Models - 2014 | Clarence Lehman, David Mulla, Richard Barnes | Computers & Geosciences | 17 pp. | doi:10.1016/j.cageo.2013.04.024 Micro abstract: Introduces Priority-Flood, a simple, optimal algorithm that removes drainage-blocking depressions from elevation models and can also derive watersheds and flow directions. - #AK7NGE Procedural Riverscapes - 2019 | A. Peytavie, B. Benes, E. Galin, E. Guérin, J. Gain, T. Dupont, Y. Cortial | Computer Graphics Forum | 12 pp. | doi:10.1111/cgf.13814 Micro abstract: Builds editable, animated riverscapes from bare terrain by carving hydrologically plausible channels and blending real-time procedural water primitives instead of simulating fluids. - #DMTA8Y Terrain Generation Using Procedural Models Based on Hydrology - 2013 | Adrien Peytavie, Bedřich Beneš, Jean-David Génevaux, Éric Galin, Éric Guérin | ACM Transactions on Graphics | 10 pp. | doi:10.1145/2461912.2461996 Micro abstract: Generates controllable, multiscale terrain from a sketched drainage network, representing rivers and landforms as an editable hierarchy of continuous procedural primitives. Water Simulation & Rendering (12) - #RBS5K6 A Layered Particle-Based Fluid Model for Real-Time Rendering of Water - 2010 | Daniel Scherzer, Florian Bagar, Michael Wimmer | Computer Graphics Forum | 7 pp. | doi:10.1111/j.1467-8659.2010.01734.x Micro abstract: Renders particle-based water and volumetric foam in real time using perspective-aware surface smoothing, physically guided foam formation, and layered depth compositing. - #C4AY2M A Survey of Ocean Simulation and Rendering Techniques in Computer Graphics - 2011 | B. Crespin, D. Ghazanfarpour, E. Darles, J.-C. Gonzato | Computer Graphics Forum | 17 pp. | doi:10.1111/j.1467-8659.2010.01828.x Micro abstract: Surveys ocean graphics from spectral deep-water models to near-shore fluid simulation, then covers the foam, spray, and light transport needed for convincing rendering. - #WZMZGY Advected river textures - 2009 | Dirk Arnold, Stephen Brooks, Tim Burrell | Computer Animation and Virtual Worlds | 11 pp. | doi:10.1002/cav.288 Micro abstract: Combines a 2D Navier–Stokes solver, hydrostatic pressure columns, and advected procedural textures to render detailed, terrain-responsive rivers at real-time frame rates. - #92XRH7 Lagrangian Texture Advection: Preserving both Spectrum and Velocity Field - 2011 | Qizhi Yu, E. Bruneton, F. Neyret, N. Holzschuch | IEEE Transactions on Visualization and Computer Graphics | 13 pp. | doi:10.1109/tvcg.2010.263 Micro abstract: Advects fluid textures with deformable particle grids, preserving both the input texture’s visual spectrum and exact motion along the velocity field without cumulative stretching. - #8SERGP Real-time Breaking Waves for Shallow Water Simulations - 2007 | Markus Gross, Matthias Müller-Fischer, Nils Thürey, Simon Schirm | 15th Pacific Conference on Computer Graphics and Applications (Pacific Graphics 2007) | 8 pp. | doi:10.1109/PG.2007.33 Micro abstract: Adds real-time overturning waves to shallow-water heightfields by detecting steep fronts and spawning connected particle sheets that collapse into splashes and foam. - #CWC7H9 Real-time Rendering of Enhanced Shallow Water Fluid Simulations - 2013 | Antonio Susín, Jesús Ojeda | Computers & Graphics | 9 pp. Micro abstract: Builds a real-time rendering pipeline for shallow-water simulations, adding fine surface detail, advected foam, photon-based caustics, and screen-space reflection and refraction. - #MVUJ8Z Real-time Rendering of River Networks - 2010 | Quintijn Hendrickx, Rafael Bidarra, Ruben M. Smelik | Proceedings of the ACM SIGGRAPH Symposium on Interactive 3D Graphics and Games | 1 pp. Micro abstract: Renders branching river networks efficiently with quadratic Bézier curves, GPU distance fields, and streaming normal maps instead of dense geometry or particle simulation. - #5MGCZ5 Real-time River Representation by Dynamic Control of Data on Waves - 2008 | Makoto Kosugi, Nobuhiko Mukai, Yasuhiro Kato | 4 pp. | doi:10.3169/itej.62.2063 Micro abstract: Dynamically switches river-wave models by viewing distance, preserving nearby reflection and wave detail while retaining wind-driven motion across the full landscape. - #XDESU9 Scalable real‐time animation of rivers - 2009 | Eric Bruneton, Fabrice Neyret, Nicolas Holzschuch, Qizhi Yu | Computer Graphics Forum | 11 pp. | doi:10.1111/j.1467-8659.2009.01363.x Micro abstract: Animates rivers across vast terrains by computing steady flow locally and advecting fine surface detail only where visible, at a screen-space sampling density. - #869NHK Very Fast Real-Time Ocean Wave Foam Rendering Using Halftoning - 2011 | Ian Parberry, Jennifer R. Alford, Mary Yingst | Proceedings of the 6th International North American Conference on Intelligent Games and Simulation (GAMEON-NA) | 7 pp. Micro abstract: Uses a spectrally controlled halftone mask to make texture-based ocean foam dissipate as clumped bubbles that pop, rather than merely fading transparently. - #A2QB8L Water Flow in Portal 2 - 2010 | Alex Vlachos | ACM SIGGRAPH 2010 Course: Advances in Real-Time Rendering in 3D Graphics and Games | 54 pp. Micro abstract: Explains Portal 2’s production-friendly water shader: artist-painted flow maps advect layered normal maps, while offsets and noise suppress repetition and pulsing on limited hardware. - #PBM2TC Water surface wavelets - 2018 | Chris Wojtan, Matthias Müller-Fischer, Miles Macklin, Nuttapong Chentanez, Stefan Jeschke, Tomáš Skřivan | ACM Transactions on Graphics | 13 pp. | doi:10.1145/3197517.3201336 Micro abstract: Represents water waves as spatially varying directional amplitudes, enabling vast interactive simulations with fine detail, moving obstacles, solid coupling, and direct artistic control. Unfiled (5) - #NBH3BE Algebraic Models for Accounting Systems - 2010 | Derek J. S. Robinson, José García Pérez, Robert A. Nehmer, Salvador Cruz Rambaud | World Scientific | 255 pp. - #7ESDBJ Economics, Accounting, and Property Theory - 1982 | David P. Ellerman | Lexington Books | 110 pp. - #WYH36B The City as Convivial Centre - 1974 | Leopold Kohr | Tract, no. 12 (Gryphon Press) | 18 pp. Micro abstract: Kohr's essay arguing that cities exist for convivial life rather than economic function, and that human-scale size is what lets a city serve as a centre of leisure, culture, and encounter. - #AULNWD The Nature of Poetic Order - 1998 | Richard P. Gabriel | Warren Wilson Alumni Conference, Mount Holyoke | 99 pp. Micro abstract: Gabriel's slide essay relating poetry's formal order to Christopher Alexander's ideas of generative structure, exploring how constraint and pattern produce living order in creative work. - #67REFX The Question Concerning Technology - 1977 | Martin Heidegger | The Question Concerning Technology and Other Essays (Harper & Row) | 23 pp. Micro abstract: Heidegger's essay on the essence of technology as Enframing (Gestell), a mode of revealing that reduces the world to standing-reserve, and on art as a possible saving power. ### 71. Assistant All five are in now, including the two big books (#NBH3BE, #7ESDBJ). Let me glance at the algebra book to write an accurate micro-abstract. #### Tool call: `get_document` ```json { "id": "NBH3BE" } ``` ### 72. Tool result: get_document DOCUMENT #NBH3BE Title: Algebraic Models for Accounting Systems Outline: - 1 #JUG3Q6 Algebraic Models for Accounting Systems - 2 #VR2KCG Algebraic Models for Accounting Systems - 3 #94PCBL Algebraic Models for Accounting Systems - 3.1 #8E45TS British Library Cataloguing-in-Publication Data - 4 #JYNXYD ALGEBRAIC MODELS FOR ACCOUNTING SYSTEMS - 5 #362DVB Preface - 6 #CDTDTJ Contents - 7 #YRM968 Chapter OneApproaches to Accounting Theory - 7.1 #C3DVU3 1.1. Historical Perspectives - 7.2 #SULRDQ 1.2. Algebraic and Proof-Based Approaches - 7.3 #B5NH78 1.3. Natural Language Approaches - 7.4 #SWTSUG 1.4. A Formal Grammar Approach - 7.5 #CTTQQE 1.5. Information Systems in Information Economics - 7.6 #7YSK8T 1.6. Location of the Research Justified - 7.7 #4W3VX6 1.7. Accounting and Formal Languages - 7.8 #A5RGH8 1.8. Proof-Based Systems - 7.9 #ULZ9NN 1.9. The Scope of the Present Work - 7.9.1 #KKDNRW Algebraic concepts employed - 8 #CQU7M4 Chapter TwoBalance Vectors - 8.1 #SY3Q64 2.1. The Values of an Account - 8.2 #5YU4YC 2.2. The State of an Accounting System - 8.2.1 #ZQE5T5 The free R-module R^n - 8.2.2 #UP9PJ7 Balance vectors in R^n - 8.2.3 #2VGPVQ Examples of balance vectors - 8.3 #L2BH6E 2.3. Properties of the Balance Module - 8.3.1 #KWZ9FP Balance vectors and permutations - 8.3.2 #NK8ATU The level of a balance vector - 8.3.2.1 #RWJ2SX Example (2.3.2). - 9 #M5HC3C Chapter ThreeTransactions - 9.1 #M7GDQM 3.1. Transaction Vectors - 9.1.1 #7M8LRM Transactions and T-diagrams - 9.1.2 #9BPUYK T-diagrams and the Pacioli group - 9.1.3 #7G8C8R The balance matrix - 9.1.3.1 #3J8M4M Example (3.1.1). - 9.2 #NRQLJX 3.2. Transaction Types - 9.2.1 #B4V6Q3 A partial order on transaction types - 9.2.1.1 #LZRZ72 Example (3.2.1). - 9.2.2 #PSXZCT Combinatorial properties of transaction types - 9.2.3 #R5K827 The level with the largest number of types - 9.3 #QHQ9ZD 3.3. Transactions, Matrices and Digraphs - 9.3.1 #XSA9VV From matrices to transactions - 9.3.1.1 #D77MRU Example (3.3.1). - 9.3.1.2 #UXM76J Example (3.3.2). - 9.3.2 #Z4HLTG The Mattessich function - 9.3.2.1 #Q3FG7S Example (3.3.3). - 9.3.3 #7PK2H5 Matrices with non-negative entries - 9.3.4 #AXBQVY Transactions and digraphs - 9.3.4.1 #GV82P7 Example (3.3.4). - 9.3.4.2 #EMJEC2 Proof - 10 #JRUU7J Chapter FourAbstract Accounting Systems - 10.1 #9Q862B 4.1. Allowable Transactions and Balances - 10.2 #TSCGMS 4.2. Defining an Accounting System - 10.2.1 #U6KBWW The digraph of an accounting system - 10.2.1.1 #K4R4H8 Example (4.2.1). - 10.2.1.2 #JQR2JK Example (4.2.2). - 10.2.2 #RPMUAT Feasible transactions and the feasible digraph - 10.2.2.1 #SW8VW6 Example (4.2.3). - 10.2.3 #JMWPES Equivalent accounting systems - 10.2.4 #WS6ULS Bounded accounting systems - 10.3 #XB8TRL 4.3. Subaccounting Systems - 10.3.1 #XLEUVJ Definition - 10.3.1.1 #LD4ASU Example (4.3.1). - 10.3.1.2 #5QMSE7 Example (4.3.2). - 10.3.2 #SAQVB4 Joins of accounting systems - 10.3.2.1 #DZ2WVS Definition of the join - 10.3.2.2 #RXZMEW Example (4.3.4). - 10.3.3 #3ALSZW Decomposable accounting systems - 10.3.3.1 #PMQ4V8 Example (4.3.5). - 10.3.3.2 #4MQEJ8 Example (4.3.6). - 10.3.3.3 #S9ZYX4 Example (4.3.7). - 11 #FY3KW4 Chapter FiveQuotient Systems and Homomorphisms - 11.1 #UCXDXG 5.1. Introduction to the Quotient Concept - 11.2 #Q3P49Z 5.2. Quotients of Accounting Systems - 11.2.1 #3LKVWC Example (5.2.1). - 11.2.2 #3KAQYK Example (5.2.2). - 11.2.3 #9NUFH2 Examples of quotient systems in accounting - 11.2.3.1 #LSYWK3 (I) Reports - 11.2.3.2 #KA38FU (II) Closing accounts - 11.2.4 #XFZ4NT The hierarchy of quotient systems - 11.2.5 #6P99F8 The partial ordering of quotient systems - 11.2.5.1 #HD3UY6 Example (5.2.3). - 11.3 #2WD2S2 5.3. Homomorphisms of Accounting Systems - 11.3.1 #TUFJYZ The definition of a homomorphism - 11.3.1.1 #BGDAJM Example (5.3.1). - 11.3.2 #EGZYNH Monomorphisms, epimorphisms, isomorphisms - 11.3.3 #35VJ3Y Automorphisms - 11.3.4 #5SNVNN Examples of homomorphisms - 11.3.4.1 #K949MV Example (5.3.3). (Epimorphisms and combinations of accounts) - 11.4 #9TL6TR 5.4. Isomorphism Theorems - 11.4.1 #7GH26R The equivalence relation associated with a homomorphism - 11.4.2 #Q84VN7 The image of a homomorphism - 11.4.2.1 #VJTV7P Example (5.4.1). - 11.4.2.2 #LHW9NW Example (5.4.2). - 11.4.3 #WXJK3A Quotients of quotient systems - 11.4.3.1 #2E98YW Example (5.4.3). - 12 #9P6SLN Chapter SixAccounting Systems and Automata - 12.1 #KBNYSA 6.1. Introduction to Semiautomata and Automata - 12.1.1 #SDTY4L The digraph of an automaton - 12.1.2 #TN3FEA The monoid of a semiautomaton - 12.1.3 #2EC39P Extension to a free monoid - 12.1.4 #VYNPE6 Equivalence relations associated with an automaton - 12.1.4.1 #CGN34K 1. An equivalence relation on inputs - 12.1.4.2 #MLUYHQ 2. An equivalence relation on states - 12.2 #N4MSKH 6.2. Accounting Systems as Automata I - 12.2.1 #J94T22 Remark. - 12.2.2 #WB8F24 The monoid of an accounting system - 12.2.3 #JX28YP Monoids of unbounded systems - 12.2.3.1 #ZRUCCL Example (6.2.1). - 12.2.3.2 #VLVTNH Example (6.2.2). - 12.2.4 #8RGA5V Groups and accounting systems - 12.3 #UCSC85 6.3. Accounting Systems as Automata II - 12.3.1 #5RQQML Definition of the time enhanced automaton - 12.3.2 #L4655C Accounts and states of the automaton - 12.3.3 #JKQJW2 The operation of the time enhanced accounting system - 12.3.3.1 #TFGB76 Example (6.3.1). - 12.3.3.2 #SLM3RZ Example (6.3.2). - 12.3.4 #Z65TFR Additional remarks on the time enhanced automaton - 13 #RGGQ6S Chapter SevenAccounting Systems with Restricted Transactions - 13.1 #FKWVPA 7.1. An Overview of Special Systems - 13.2 #9MFF4G 7.2. Finitely Specifiable Accounting Systems - 13.2.1 #CHGP25 Example (7.2.1). - 13.2.2 #HGH5D5 Finitely generated accounting systems - 13.2.3 #K7SLZF Simple accounting systems - 13.2.3.1 #KE76NN Proof of 7.2.3 - 13.2.3.2 #PBJJYR Proof - 13.2.4 #AXKHJN Hereditary accounting systems - 13.2.4.1 #S67JPT Example (7.2.2). - 13.2.5 #MVWJU4 Type-complete accounting systems - 13.2.6 #CDF3FG Inverse accounting systems - 13.2.7 #FDJ657 Diagram of classes of accounting systems - 13.2.7.1 #Y2KHU5 Example (7.2.3). - 13.3 #XJMQVM 7.3. The Digraph of a Simple System - 13.3.1 #P4UPT7 Example (7.3.1). - 13.3.2 #SSC4LE Example (7.3.2). - 13.3.3 #CKDCEK The structure of strongly transitive digraphs - 13.3.3.1 #4MGGUW Example (7.3.3). - 13.3.3.2 #458DSX Example (7.3.4). - 13.3.4 #RG6STM Digraphs and hereditary accounting systems - 13.3.5 #JVHETU Counting hereditary systems - 13.3.5.1 #2HQ7CM Example (7.3.5). - 14 #YW47RD Chapter EightAlgorithms - 14.1 #YVBV98 8.1. Decision Problems for Accounting Systems - 14.2 #CMKXS4 8.2. Recursive Accounting Systems - 14.2.1 #DQBLAA Definitions - 14.2.2 #C7237M Note on the domain of account values - 14.2.3 #GVB8KF Algorithms for recursive systems - 14.2.3.1 #Q5ENMH Example (8.2.1). - 14.2.3.2 #9JLRZM Example (8.2.2). - 14.3 #SP6MV7 8.3. The Balance Verification Problem - 14.3.1 #4A8RPA Verifying balances in finitely specifiable systems - 14.3.1.1 #JYXG86 Proof - 14.3.1.2 #2CHAJU Example (8.3.1). - 14.3.2 #M2VM8X Verifying balances with balance restrictions - 14.4 #RBBU8B 8.4. More Algorithms - 14.4.1 #NZA7SH Example (8.4.2). - 15 #7VR7VU Chapter NineThe Extended Model - 15.1 #GRSWMM 9.1. Introduction to the 10-Tuple Model - 15.2 #LJHX3Y 9.2. Authorization and Control Matrices - 15.2.1 #5XTPHX The mode of operation of the control matrices - 15.2.1.1 #6BEFSS Example (9.2.1). - 15.2.2 #8M3B88 The authorization process - 15.2.3 #J7XEKX The number of control matrices - 15.2.3.1 #F7UULV Proof - 15.3 #VPN4WN 9.3. Frequency Control - 15.4 #AMNFDT 9.4. The 10-Tuple Model and Automata - 15.4.1 #HP5MZ5 Features of the extended model - 15.4.2 #UYV8AK The extended automata - 15.4.3 #SDB5VU The extended time enhanced accounting system - 15.5 #L5VBNN 9.5. The Audit as an Automaton - 16 #483BCK Chapter TenThe Model Illustrated - 16.1 #XU3H2V 10.1. A Real Life Example - 16.2 #75RPAB 10.2. The Operation of the Model - 16.2.1 #M49289 The transactions - 16.2.2 #GHQDLH Application of an audit - 16.3 #N72NY6 10.3. Concluding Remarks - 17 #T655MG List of Mathematical Symbols - 18 #YRRSGD Bibliography - 18.1 #4CX8MN Mathematics References - 18.2 #3Y29JB Accounting References - 19 #YTDLR3 Index ### 73. Assistant Now the micro-abstracts for the two new books (sequentially, to avoid the metadata-graph contention we hit earlier): #### Tool call: `update_document_metadata` ```json { "document_id": "NBH3BE", "micro_abstract": "Develops accounting theory algebraically: balance vectors as modules, transactions as a group, and whole accounting systems as automata with quotients, homomorphisms, and decision algorithms for audit and control." } ``` ### 74. Tool result: update_document_metadata Updated metadata for #NBH3BE: micro_abstract ### 75. Assistant tool calls #### Tool call: `update_document_metadata` ```json { "document_id": "7ESDBJ", "micro_abstract": "Ellerman's vector-accounting monograph: double entry generalized to property vectors (\"accounting without valuation\"), grounding a property-theoretic account of appropriation, the firm, and goodwill." } ``` ### 76. Tool result: update_document_metadata Updated metadata for #7ESDBJ: micro_abstract ### 77. Assistant Micro-abstracts are set for #NBH3BE and #7ESDBJ. Here's my read on the folder situation: **The misfoldered Ellerman:** #GANFP9 (subset–partition duality) and #C8FHDZ (partition logic) are sitting in *Living Structure, Wholeness & Beauty*, but they're pure math/logic papers — they belong with the two new accounting-algebra books, which are all part of the same Ellerman-adjacent formal thread (partition logic, duality, and double entry as group theory). **Suggested folder set** (two new folders, three moves, existing five untouched): 1. **Accounting Algebra & Property Theory** *(new)* - #NBH3BE Algebraic Models for Accounting Systems - #7ESDBJ Economics, Accounting, and Property Theory - #GANFP9 A Fundamental Duality… ← move from Living Structure - #C8FHDZ On implication and negation in partition logic ← move from Living Structure 2. **Technology, Scale & Conviviality** *(new)* - #67REFX The Question Concerning Technology - #WYH36B The City as Convivial Centre (Heidegger and Kohr pair naturally: both are critiques of instrumental/economic framing of the human world; "convivial" is Illich's axis too, if you add him later.) 3. **Living Structure, Wholeness & Beauty** gains: - #AULNWD The Nature of Poetic Order ← it's explicitly Gabriel applying Alexander's theory of order to poetry, so it fits alongside Harmony-Seeking Computations and Generative Codes. An alternative would be to split #GANFP9/#C8FHDZ into their own "Partition Logic & Duality" folder, but four documents together tell the Ellerman story better than two folders of two. Say the word and I'll make the five moves. ### 78. User yeah let's roll and then let's make nice cover arts for the new ones too ### 79. Assistant Rolling. Folder moves first — sequentially, since concurrent metadata writes collide. #### Tool call: `update_document_metadata` ```json { "document_id": "NBH3BE", "folder": "Accounting Algebra & Property Theory" } ``` ### 80. Tool result: update_document_metadata Updated metadata for #NBH3BE: folder ### 81. Assistant tool calls #### Tool call: `update_document_metadata` ```json { "document_id": "7ESDBJ", "folder": "Accounting Algebra & Property Theory" } ``` ### 82. Tool result: update_document_metadata Updated metadata for #7ESDBJ: folder ### 83. Assistant tool calls #### Tool call: `update_document_metadata` ```json { "document_id": "GANFP9", "folder": "Accounting Algebra & Property Theory" } ``` ### 84. Tool result: update_document_metadata Updated metadata for #GANFP9: folder ### 85. Assistant tool calls #### Tool call: `update_document_metadata` ```json { "document_id": "C8FHDZ", "folder": "Accounting Algebra & Property Theory" } ``` ### 86. Tool result: update_document_metadata Updated metadata for #C8FHDZ: folder ### 87. Assistant tool calls #### Tool call: `update_document_metadata` ```json { "document_id": "67REFX", "folder": "Technology, Scale & Conviviality" } ``` ### 88. Tool result: update_document_metadata Updated metadata for #67REFX: folder ### 89. Assistant tool calls #### Tool call: `update_document_metadata` ```json { "document_id": "WYH36B", "folder": "Technology, Scale & Conviviality" } ``` ### 90. Tool result: update_document_metadata Updated metadata for #WYH36B: folder ### 91. Assistant tool calls #### Tool call: `update_document_metadata` ```json { "document_id": "AULNWD", "folder": "Living Structure, Wholeness & Beauty" } ``` ### 92. Tool result: update_document_metadata Updated metadata for #AULNWD: folder ### 93. Assistant I passed an HTML-escaped ampersand for the Living Structure folder — let me verify it reused the right folder. #### Tool call: `list_documents` ```json {} ``` ### 94. Tool result: list_documents FOLDERS - Accounting Algebra & Property Theory - Living Structure, Wholeness & Beauty - Living Structure, Wholeness & Beauty - Procedural Generation & Co-Creation - Roads, Trails & Movement - Technology, Scale & Conviviality - Terrain, Hydrology & Erosion - Water Simulation & Rendering Accounting Algebra & Property Theory (4) - #GANFP9 A Fundamental Duality in the Mathematical and Natural Sciences: From Logic to Biology - 2024 | David Ellerman | 53 pp. Micro abstract: Traces an overlooked subset–partition duality—from logic and category theory through entropy and quantum indefiniteness to selectionist and generative mechanisms in biology. - #NBH3BE Algebraic Models for Accounting Systems - 2010 | Derek J. S. Robinson, José García Pérez, Robert A. Nehmer, Salvador Cruz Rambaud | World Scientific | 255 pp. Micro abstract: Develops accounting theory algebraically: balance vectors as modules, transactions as a group, and whole accounting systems as automata with quotients, homomorphisms, and decision algorithms for audit and control. - #7ESDBJ Economics, Accounting, and Property Theory - 1982 | David P. Ellerman | Lexington Books | 110 pp. Micro abstract: Ellerman's vector-accounting monograph: double entry generalized to property vectors ("accounting without valuation"), grounding a property-theoretic account of appropriation, the firm, and goodwill. - #C8FHDZ On implication and negation in partition logic - 2025 | , David Ellerman | Open Journal of Mathematical Sciences | 9 pp. | doi:10.30538/oms2025.0250 Micro abstract: Develops implication as a refinement-sensitive operation on set partitions, showing how relative negation yields local Boolean cores within the non-distributive algebra of partitions. Living Structure, Wholeness & Beauty (8) - #MH5J8D Beautimeter: Harnessing GPT for Assessing Architectural and Urban Beauty Based on the 15 Properties of Living Structure - 2025 | Bin Jiang | AI | 12 pp. | doi:10.3390/ai6040074 Micro abstract: Presents Beautimeter, a GPT-based tool that scores buildings and urban scenes against Christopher Alexander’s 15 properties of living structure to assess their coherence and beauty. - #XW22YY Generative Codes: The Path to Building Welcoming, Beautiful, Sustainable Neighborhoods - 2005 | Brian Hanson, Christopher Alexander, Maggie Moore Alexander, Michael Mehaffy, Randall Schmidt | Center for Environmental Structure | 21 pp. Micro abstract: Argues that living neighborhoods arise from generative codes: ordered, participatory steps that let buildings and public spaces unfold from local people, land, and context. - #SKRF4C Geography as a Science of the Earth’s Surface Founded on the Third View of Space - 2022 | Bin Jiang | Annals of GIS | 14 pp. | doi:10.1080/19475683.2021.1966502 Micro abstract: Recasts geography around an organismic view of space, using scaling and spatial dependence to understand—and deliberately create—places with greater living structure. - #PXG56P Harmony-Seeking Computations: A Science of Non-Classical Dynamics Based on the Progressive Evolution of the Larger Whole - 2009 | Christopher Alexander | Unpublished manuscript | 66 pp. Micro abstract: Proposes harmony-seeking computation as a creative process that repeatedly strengthens latent centers in a configuration while preserving and deepening the larger whole. - #MJKTBB Living Images: A Recursive Approach to Computing the Structural Beauty of Images or the Livingness of Space - 2023 | Bin Jiang, Chris de Rijke | Annals of the American Association of Geographers | 19 pp. | doi:10.1080/24694452.2023.2178376 Micro abstract: Measures an image’s structural beauty by recursively extracting its nested substructures, revealing a compact hierarchy that also captures visual saliency. - #3XSLTA Structural Beauty: A Structure-Based Computational Approach to Quantifying the Beauty of an Image - 2021 | Bin Jiang, Chris de Rijke | Journal of Imaging | 15 pp. | doi:10.3390/jimaging7050078 Micro abstract: Proposes a quantitative measure of structural beauty based on how many substructures an image contains and how strongly they form a hierarchy across scales. - #ZU8GZV Structure-Preserving Transformations - 2002 | Christopher Alexander | The Nature of Order, Book Two: The Process of Creating Life | 4 pp. | doi:10.2307/j.ctv27ftw6c.5 Micro abstract: Explains structure-preserving transformations: incremental changes that extend the centers and relationships already present in a place rather than weakening its wholeness. - #BYG3BQ Wholeness as a Hierarchical Graph to Capture the Nature of Space - 2015 | Bin Jiang | International Journal of Geographical Information Science | 14 pp. | doi:10.1080/13658816.2015.1038542 Micro abstract: Models spatial wholeness as a hierarchical graph of mutually reinforcing centers, using PageRank and scaling depth to quantify the life of parts and wholes. Living Structure, Wholeness & Beauty (1) - #AULNWD The Nature of Poetic Order - 1998 | Richard P. Gabriel | Warren Wilson Alumni Conference, Mount Holyoke | 99 pp. Micro abstract: Gabriel's slide essay relating poetry's formal order to Christopher Alexander's ideas of generative structure, exploring how constraint and pattern produce living order in creative work. Procedural Generation & Co-Creation (14) - #ABD2B8 Between Tech and Art: The Vegetation of Horizon Zero Dawn - 2018 | Gilbert Sanders, Guerrilla Games | Game Developers Conference (GDC) 2018 | 87 pp. Micro abstract: A production breakdown of Horizon Zero Dawn’s vegetation pipeline, covering global wind simulation, layered foliage motion, coverage-preserving alpha mipmaps, shading, asset LODs, placement, and cascaded shadows. - #4TH488 Explainable AI for Designers: A Human-Centered Perspective on Mixed-Initiative Co-Creation - 2018 | Antonios Liapis, G. Michael Youngblood, Jichen Zhu, Rafael Bidarra, Sebastian Risi | 2018 IEEE Conference on Computational Intelligence and Games (CIG) | 8 pp. | doi:10.1109/CIG.2018.8490433 Micro abstract: Defines explainable AI for game designers, mapping co-creative systems by their explainability, initiative, and domain overlap so explanations serve concrete design tasks. - #9NQ94D Extracting Physics from Blended Platformer Game Levels - 2020 | Adam Summerville, Anurag Sarkar, Joseph C. Osborn, Sam Snodgrass | Joint Proceedings of the AIIDE 2020 Workshops (CEUR Workshop Proceedings, Vol. 2862) | 7 pp. Micro abstract: Infers playable jump physics from generated platformer levels, including hybrid physics models for levels that blend the geometry and style of multiple games. - #66Q3W3 Ghost of Tsushima: Procedural Grass - 2021 | Eric Wohllaib, Sucker Punch Productions | Game Developers Conference (GDC) 2021 | 55 pp. Micro abstract: Explains Ghost of Tsushima’s compute-driven grass pipeline, from tiled placement and culling to indirect drawing, cubic Bézier blade geometry, variable LOD, wind animation, and material shading. - #QHMFH2 Improved Alpha Testing Using Hashed Sampling - 2019 | Chris Wyman, Morgan McGuire | IEEE Transactions on Visualization and Computer Graphics | 12 pp. | doi:10.1109/TVCG.2017.2739149 Micro abstract: Develops hashed alpha testing, a stable quasi-random thresholding method that preserves distant alpha-mapped foliage and hair while controlling flicker, anisotropy, and interactions with TAA and alpha-to-coverage. - #7GR3AQ Procedural Content Generation through Quality Diversity - 2019 | Ahmed Khalifa, Antonios Liapis, Daniele Gravina, Georgios N. Yannakakis, Julian Togelius | 2019 IEEE Conference on Games (CoG) | 8 pp. | doi:10.1109/CIG.2019.8848053 Micro abstract: Argues for quality-diversity algorithms in procedural generation, producing broad collections of varied, playable content while exposing the design space for exploration and co-creation. - #CQBDX4 Procedural Content Generation via Machine Learning (PCGML) - 2018 | Aaron Isaksen, Adam Summerville, Amy K. Hoover, Andy Nealen, Christoffer Holmgård, Julian Togelius, Matthew Guzdial, Sam Snodgrass | IEEE Transactions on Games | 15 pp. | doi:10.1109/TG.2018.2846639 Micro abstract: Defines and surveys PCGML: generating functional game content directly from models trained on existing examples, with uses spanning creation, completion, repair, critique, and compression. - #EARFEK Procedural Generation of Villages on Arbitrary Terrains - 2012 | Adrien Bernhardt, Adrien Peytavie, Arnaud Emilien, Eric Galin, Marie-Paule Cani | The Visual Computer | 10 pp. | doi:10.1007/s00371-012-0699-7 Micro abstract: Presents a three-stage procedural model that grows terrain-responsive village roads and settlements, partitions land into plausible parcels, and generates slope-adapted buildings with open shape grammars. - #EDURTK Real-Time GPU Tree Generation - 2025 | Bastian Kuth, Carsten Faber, Dominik Baumeister, Max Oberberger, Pirmin Pfeifer, Quirin Meyer, Seyedmasih Tabaei | High-Performance Graphics – Symposium Papers | 10 pp. | doi:10.2312/hpg.20251168 Micro abstract: Introduces a GPU work-graph pipeline that generates, animates, edits, and continuously LODs detailed seasonal trees every frame, replacing gigabytes of baked geometry with kilobytes of parameters. - #GBXEP3 Realistic Modeling and Rendering of Plant Ecosystems - 1998 | Bernd Lintermann, Matt Pharr, Oliver Deussen, Pat Hanrahan, Przemyslaw Prusinkiewicz, Radomír Měch | Proceedings of SIGGRAPH ’98 | 12 pp. | doi:10.1145/280814.280898 Micro abstract: Presents a foundational pipeline for authoring plant ecosystems through terrain design, ecological simulation, procedural plant models, approximate instancing, and efficient rendering of billion-primitive scenes. - #BDBBL6 Real‐time Realistic Rendering and Lighting of Forests - 2012 | Eric Bruneton, Fabrice Neyret | Computer Graphics Forum | 11 pp. | doi:10.1111/j.1467-8659.2012.03016.x Micro abstract: Combines detailed z-field trees with terrain shader-maps to render immense forests in real time, preserving sun, sky, canopy, and ground-lighting effects through seamless, scale-consistent transitions. - #PQ68ZH Responsive Real-Time Grass Rendering for General 3D Scenes - 2017 | Klemens Jahrmann, Michael Wimmer | Proceedings of the 2017 Symposium on Interactive 3D Graphics and Games (I3D ’17) | 10 pp. | doi:10.1145/3023368.3023380 Micro abstract: Renders every grass blade as responsive tessellated geometry on arbitrary 3D surfaces, with per-blade wind, gravity, and collision physics plus aggressive culling that retains dense fields in real time. - #WZ8DHP Runtime Evaluation of Procedural Content Generation in an Endless Runner Game Using Autonomous Agents - 2026 | Rishabh Kar | arXiv | 25 pp. | doi:10.48550/arXiv.2605.01783 Micro abstract: Integrates procedural generation and validation in an endless runner, using aerial and ground agents to detect blocked or unnavigable content before the player reaches it. - #NRBMD5 Towards Friendly Mixed Initiative Procedural Content Generation: Three Pillars of Industry - 2020 | Frederic Fol Leymarie, Gorm Lai, William Latham | Proceedings of the International Conference on the Foundations of Digital Games (FDG '20) | 4 pp. | doi:10.1145/3402942.3402946 Micro abstract: Distills three requirements for industry-friendly co-creative PCG tools: preserve designer control, keep feedback loops short, and fit into existing production pipelines. Roads, Trails & Movement (8) - #G3TBNG A Sequential Two-Step Algorithm for Fast Generation of Vehicle Racing Trajectories - 2016 | J. Christian Gerdes, John Subosits, Nitin R. Kapania | Journal of Dynamic Systems, Measurement, and Control | 12 pp. | doi:10.1115/1.4033311 Micro abstract: Generates near-optimal racing trajectories quickly by alternating between a minimum-time speed profile and a convex path update that reduces curvature. - #B6P8L4 Active walker model for the formation of human and animal trail systems - 1997 | Dirk Helbing, Frank Schweitzer, Joachim Keltsch, Péter Molnár | Physical Review E | 34 pp. | doi:10.1103/physreve.56.2527 Micro abstract: Models trail systems as self-organization: walkers reinforce attractive routes while unused traces fade, producing dendritic ant trails and low-detour pedestrian networks. - #V4TQYB Interactive procedural street modeling - 2008 | Eugene Zhang, Gregory Esch, Guoning Chen, Pascal Müller, Peter Wonka | ACM Transactions on Graphics | 10 pp. | doi:10.1145/1360612.1360702 Micro abstract: Lets designers generate and edit large street networks through tensor fields, combining procedural speed with brush-like global and local control over street patterns. - #UYLTYJ Modelling the Evolution of Human Trail Systems - 1997 | Dirk Helbing, Joachim Keltsch, Péter Molnár | Nature | 11 pp. | doi:10.1038/40353 Micro abstract: Shows how pedestrian trails emerge through feedback between destination-seeking walkers, existing paths, and vegetation recovery, yielding a compromise between directness and shared infrastructure. - #GY93FG Mountain Trail Formation and the Active Walker Model - 2009 | J. P. Hague, S. J. Gilks | International Journal of Modern Physics C | 22 pp. | doi:10.1142/S0129183109014059 Micro abstract: Extends the active-walker model to steep terrain, explaining zigzag mountain trails through slope avoidance, directional persistence, and mutual reinforcement by ascending and descending walkers. - #LXV9AT Principles of Trail Layout and Design - 2019 | California State Parks | California State Parks Trails Handbook | 64 pp. Micro abstract: A field-oriented guide to durable trail design, emphasizing curvilinear alignment, natural drainage, sustainable grades, control points, and close reading of landform and soils. - #XDEFZS Procedural Generation of Roads - 2010 | A. Peytavie, E. Galin, E. Guérin, N. Maréchal | Computer Graphics Forum | 10 pp. | doi:10.1111/j.1467-8659.2009.01612.x Micro abstract: Automatically routes and constructs roads with an anisotropic shortest-path method that weighs slope and obstacles while treating surface segments, bridges, and tunnels consistently. - #ARP5U7 The Topography of Minoan Peak Sanctuaries - 1983 | A. A. D. Peatfield | The Annual of the British School at Athens | 8 pp. | doi:10.1017/s0068245400019729 Micro abstract: Argues that Minoan peak sanctuaries were chosen for visibility and proximity to local settlements, forming a beacon-like sacred network whose contraction tracked settlement abandonment rather than cultic collapse. Technology, Scale & Conviviality (2) - #WYH36B The City as Convivial Centre - 1974 | Leopold Kohr | Tract, no. 12 (Gryphon Press) | 18 pp. Micro abstract: Kohr's essay arguing that cities exist for convivial life rather than economic function, and that human-scale size is what lets a city serve as a centre of leisure, culture, and encounter. - #67REFX The Question Concerning Technology - 1977 | Martin Heidegger | The Question Concerning Technology and Other Essays (Harper & Row) | 23 pp. Micro abstract: Heidegger's essay on the essence of technology as Enframing (Gestell), a mode of revealing that reduces the world to standing-reserve, and on art as a possible saving power. Terrain, Hydrology & Erosion (8) - #NV2YRW FastFlow: GPU Acceleration of Flow and Depression Routing for Landscape Simulation - 2024 | Aryamaan Jain, Bernhard Kerbl, Brandon Finley, Guillaume Cordonnier, James Gain | Computer Graphics Forum | 13 pp. | doi:10.1111/cgf.15243 Micro abstract: A GPU framework for routing surface flow through terrain and its depressions fast enough to make erosion, river, lake, and ecosystem simulations interactive. - #2284QZ From features to fingerprints: A general diagnostic framework for anthropogenic geomorphology - 2019 | Damian Evans, Erle C Ellis, Giulia Sofia, Paolo Tarolli, Wenfang Cao | Progress in Physical Geography: Earth and Environment | 34 pp. | doi:10.1177/0309133318825284 Micro abstract: Integrates geomorphology, archaeology, and high-resolution remote sensing into a framework for reading anthropogenic landforms as landscape-scale sociocultural fingerprints. - #96ZMGK Large Scale Terrain Generation from Tectonic Uplift and Fluvial Erosion - 2016 | Adrien Peytavie, Bedrich Benes, Guillaume Cordonnier, Jean Braun, Marie-Paule Cani, Éric Galin, Éric Guérin | Computer Graphics Forum | 11 pp. | doi:10.1111/cgf.12820 Micro abstract: Generates large, controllable mountain terrains by coupling user-painted tectonic uplift with fluvial erosion, then turning the resulting stream graph into detailed landforms. - #K82AS7 Legacy sediment: Definitions and processes of episodically produced anthropogenic sediment - 2013 | L. Allan James | Anthropocene | 11 pp. | doi:10.1016/j.ancene.2013.04.001 Micro abstract: Broadens legacy sediment to episodically produced anthropogenic alluvium and colluvium, and explains its deposition, storage, and remobilization through sediment delivery–transport capacity dynamics. - #DWXKYQ Physically-based analytical erosion for fast terrain generation - 2024 | Boris Gailleton, Guillaume Cordonnier, Petros Tzathas, Philippe Steer | Computer Graphics Forum | 14 pp. | doi:10.1111/cgf.15033 Micro abstract: Turns the stream power law into an interactive terrain tool, replacing thousands of erosion time steps with analytical solutions and a direct control for landscape age. - #MTDKDE Priority-Flood: An Optimal Depression-Filling and Watershed-Labeling Algorithm for Digital Elevation Models - 2014 | Clarence Lehman, David Mulla, Richard Barnes | Computers & Geosciences | 17 pp. | doi:10.1016/j.cageo.2013.04.024 Micro abstract: Introduces Priority-Flood, a simple, optimal algorithm that removes drainage-blocking depressions from elevation models and can also derive watersheds and flow directions. - #AK7NGE Procedural Riverscapes - 2019 | A. Peytavie, B. Benes, E. Galin, E. Guérin, J. Gain, T. Dupont, Y. Cortial | Computer Graphics Forum | 12 pp. | doi:10.1111/cgf.13814 Micro abstract: Builds editable, animated riverscapes from bare terrain by carving hydrologically plausible channels and blending real-time procedural water primitives instead of simulating fluids. - #DMTA8Y Terrain Generation Using Procedural Models Based on Hydrology - 2013 | Adrien Peytavie, Bedřich Beneš, Jean-David Génevaux, Éric Galin, Éric Guérin | ACM Transactions on Graphics | 10 pp. | doi:10.1145/2461912.2461996 Micro abstract: Generates controllable, multiscale terrain from a sketched drainage network, representing rivers and landforms as an editable hierarchy of continuous procedural primitives. Water Simulation & Rendering (12) - #RBS5K6 A Layered Particle-Based Fluid Model for Real-Time Rendering of Water - 2010 | Daniel Scherzer, Florian Bagar, Michael Wimmer | Computer Graphics Forum | 7 pp. | doi:10.1111/j.1467-8659.2010.01734.x Micro abstract: Renders particle-based water and volumetric foam in real time using perspective-aware surface smoothing, physically guided foam formation, and layered depth compositing. - #C4AY2M A Survey of Ocean Simulation and Rendering Techniques in Computer Graphics - 2011 | B. Crespin, D. Ghazanfarpour, E. Darles, J.-C. Gonzato | Computer Graphics Forum | 17 pp. | doi:10.1111/j.1467-8659.2010.01828.x Micro abstract: Surveys ocean graphics from spectral deep-water models to near-shore fluid simulation, then covers the foam, spray, and light transport needed for convincing rendering. - #WZMZGY Advected river textures - 2009 | Dirk Arnold, Stephen Brooks, Tim Burrell | Computer Animation and Virtual Worlds | 11 pp. | doi:10.1002/cav.288 Micro abstract: Combines a 2D Navier–Stokes solver, hydrostatic pressure columns, and advected procedural textures to render detailed, terrain-responsive rivers at real-time frame rates. - #92XRH7 Lagrangian Texture Advection: Preserving both Spectrum and Velocity Field - 2011 | Qizhi Yu, E. Bruneton, F. Neyret, N. Holzschuch | IEEE Transactions on Visualization and Computer Graphics | 13 pp. | doi:10.1109/tvcg.2010.263 Micro abstract: Advects fluid textures with deformable particle grids, preserving both the input texture’s visual spectrum and exact motion along the velocity field without cumulative stretching. - #8SERGP Real-time Breaking Waves for Shallow Water Simulations - 2007 | Markus Gross, Matthias Müller-Fischer, Nils Thürey, Simon Schirm | 15th Pacific Conference on Computer Graphics and Applications (Pacific Graphics 2007) | 8 pp. | doi:10.1109/PG.2007.33 Micro abstract: Adds real-time overturning waves to shallow-water heightfields by detecting steep fronts and spawning connected particle sheets that collapse into splashes and foam. - #CWC7H9 Real-time Rendering of Enhanced Shallow Water Fluid Simulations - 2013 | Antonio Susín, Jesús Ojeda | Computers & Graphics | 9 pp. Micro abstract: Builds a real-time rendering pipeline for shallow-water simulations, adding fine surface detail, advected foam, photon-based caustics, and screen-space reflection and refraction. - #MVUJ8Z Real-time Rendering of River Networks - 2010 | Quintijn Hendrickx, Rafael Bidarra, Ruben M. Smelik | Proceedings of the ACM SIGGRAPH Symposium on Interactive 3D Graphics and Games | 1 pp. Micro abstract: Renders branching river networks efficiently with quadratic Bézier curves, GPU distance fields, and streaming normal maps instead of dense geometry or particle simulation. - #5MGCZ5 Real-time River Representation by Dynamic Control of Data on Waves - 2008 | Makoto Kosugi, Nobuhiko Mukai, Yasuhiro Kato | 4 pp. | doi:10.3169/itej.62.2063 Micro abstract: Dynamically switches river-wave models by viewing distance, preserving nearby reflection and wave detail while retaining wind-driven motion across the full landscape. - #XDESU9 Scalable real‐time animation of rivers - 2009 | Eric Bruneton, Fabrice Neyret, Nicolas Holzschuch, Qizhi Yu | Computer Graphics Forum | 11 pp. | doi:10.1111/j.1467-8659.2009.01363.x Micro abstract: Animates rivers across vast terrains by computing steady flow locally and advecting fine surface detail only where visible, at a screen-space sampling density. - #869NHK Very Fast Real-Time Ocean Wave Foam Rendering Using Halftoning - 2011 | Ian Parberry, Jennifer R. Alford, Mary Yingst | Proceedings of the 6th International North American Conference on Intelligent Games and Simulation (GAMEON-NA) | 7 pp. Micro abstract: Uses a spectrally controlled halftone mask to make texture-based ocean foam dissipate as clumped bubbles that pop, rather than merely fading transparently. - #A2QB8L Water Flow in Portal 2 - 2010 | Alex Vlachos | ACM SIGGRAPH 2010 Course: Advances in Real-Time Rendering in 3D Graphics and Games | 54 pp. Micro abstract: Explains Portal 2’s production-friendly water shader: artist-painted flow maps advect layered normal maps, while offsets and noise suppress repetition and pulsing on limited hardware. - #PBM2TC Water surface wavelets - 2018 | Chris Wojtan, Matthias Müller-Fischer, Miles Macklin, Nuttapong Chentanez, Stefan Jeschke, Tomáš Skřivan | ACM Transactions on Graphics | 13 pp. | doi:10.1145/3197517.3201336 Micro abstract: Represents water waves as spatially varying directional amplitudes, enabling vast interactive simulations with fine detail, moving obstacles, solid coupling, and direct artistic control. ### 95. Assistant As suspected — the escaped ampersand created a duplicate folder. Fixing with the literal name: #### Tool call: `update_document_metadata` ```json { "document_id": "AULNWD", "folder": "Living Structure, Wholeness & Beauty" } ``` ### 96. Tool result: update_document_metadata Updated metadata for #AULNWD: folder ### 97. Assistant tool calls #### Tool call: `update_document_metadata` ```json { "document_id": "67REFX", "venue": "The Question Concerning Technology and Other Essays (Harper & Row)" } ``` ### 98. Tool result: update_document_metadata Updated metadata for #67REFX: venue ### 99. Assistant Now the five covers: #### Tool call: `generate_image` ```json { "prompt": "Minimalist academic book cover art for a mathematical monograph on algebraic models of accounting systems. A large abstract composition: a lattice of thin ledger lines forming a T-account grid that morphs into a directed graph of nodes and arrows, rendered in ink-blue and warm gray on cream paper. Subtle group-theory motifs — arrows composing, a quotient collapsing several nodes into one — drawn like precise chalkboard diagrams. Flat vector style, generous negative space, no text, no lettering, quiet and rigorous mood." } ``` #### Tool call: `generate_image` ```json { "prompt": "Book cover art for a 1982 economics monograph on property theory and double-entry accounting. A stark, elegant composition in the style of vintage Lexington Books hardcovers: a balance scale whose two pans hold not gold but geometric vectors — small arrows pointing in opposite directions — over a background of faint ruled ledger paper in oxblood red, ivory, and charcoal. One pan's contents mirror the other exactly, debit against credit. Flat mid-century print aesthetic, slightly textured paper grain, no text or lettering." } ``` #### Tool call: `generate_image` ```json { "prompt": "Cover art for a 1974 essay pamphlet on the city as a convivial centre of human-scale life. Warm hand-printed linocut style: a small European town square at dusk seen slightly from above — café tables spilling onto cobblestones, people talking in clusters, a fountain, arcaded buildings of modest height leaning companionably together, laundry lines and lamplight. Rich terracotta, olive, and deep teal inks on rough cream stock, bold carved outlines, joyful and intimate mood, 1970s small-press pamphlet aesthetic, no text." } ``` #### Tool call: `generate_image` ```json { "prompt": "Cover art for Heidegger's essay on the essence of technology. A brooding, philosophical composition: a vast hydroelectric dam spanning the Rhine rendered as a hard geometric grid of concrete and turbines, while in the foreground a single gnarled tree and an old wooden bridge remain untouched; above the dam the sky is caught in a net of faint rectilinear framing lines, as if the whole landscape were being ordered into stock. Muted palette of slate, iron gray, cold river green, and one thin band of golden light breaking at the horizon. Painterly German expressionist woodcut mood, high contrast, no text." } ``` #### Tool call: `generate_image` ```json { "prompt": "Cover art for an essay on the nature of poetic order, relating poetry to Christopher Alexander's theory of living structure. A page of handwritten verse dissolving into architecture: lines of script become courses of stonework, stanza breaks become windows and doorways, and the whole page-building is surrounded by climbing roses and small nested courtyards, each echoing the shape of the whole. Soft watercolor and ink, indigo script on warm parchment tones with touches of rose madder and sage green, dreamlike but orderly, strong nested symmetry, no legible words, no text." } ``` ### 100. Tool result: generate_image GENERATED IMAGE #ZDTAE9 URL: /images/ZDTAE9 Model: gpt-image-2 Prompt: Minimalist academic book cover art for a mathematical monograph on algebraic models of accounting systems. A large abstract composition: a lattice of thin ledger lines forming a T-account grid that morphs into a directed graph of nodes and arrows, rendered in ink-blue and warm gray on cream paper. Subtle group-theory motifs — arrows composing, a quotient collapsing several nodes into one — drawn like precise chalkboard diagrams. Flat vector style, generous negative space, no text, no lettering, quiet and rigorous mood. ### 101. Tool result: generate_image GENERATED IMAGE #EJL6FK URL: /images/EJL6FK Model: gpt-image-2 Prompt: Book cover art for a 1982 economics monograph on property theory and double-entry accounting. A stark, elegant composition in the style of vintage Lexington Books hardcovers: a balance scale whose two pans hold not gold but geometric vectors — small arrows pointing in opposite directions — over a background of faint ruled ledger paper in oxblood red, ivory, and charcoal. One pan's contents mirror the other exactly, debit against credit. Flat mid-century print aesthetic, slightly textured paper grain, no text or lettering. ### 102. Tool result: generate_image GENERATED IMAGE #8J892Z URL: /images/8J892Z Model: gpt-image-2 Prompt: Cover art for a 1974 essay pamphlet on the city as a convivial centre of human-scale life. Warm hand-printed linocut style: a small European town square at dusk seen slightly from above — café tables spilling onto cobblestones, people talking in clusters, a fountain, arcaded buildings of modest height leaning companionably together, laundry lines and lamplight. Rich terracotta, olive, and deep teal inks on rough cream stock, bold carved outlines, joyful and intimate mood, 1970s small-press pamphlet aesthetic, no text. ### 103. Tool result: generate_image GENERATED IMAGE #6XMNU3 URL: /images/6XMNU3 Model: gpt-image-2 Prompt: Cover art for Heidegger's essay on the essence of technology. A brooding, philosophical composition: a vast hydroelectric dam spanning the Rhine rendered as a hard geometric grid of concrete and turbines, while in the foreground a single gnarled tree and an old wooden bridge remain untouched; above the dam the sky is caught in a net of faint rectilinear framing lines, as if the whole landscape were being ordered into stock. Muted palette of slate, iron gray, cold river green, and one thin band of golden light breaking at the horizon. Painterly German expressionist woodcut mood, high contrast, no text. ### 104. Tool result: generate_image GENERATED IMAGE #JRT95U URL: /images/JRT95U Model: gpt-image-2 Prompt: Cover art for an essay on the nature of poetic order, relating poetry to Christopher Alexander's theory of living structure. A page of handwritten verse dissolving into architecture: lines of script become courses of stonework, stanza breaks become windows and doorways, and the whole page-building is surrounded by climbing roses and small nested courtyards, each echoing the shape of the whole. Soft watercolor and ink, indigo script on warm parchment tones with touches of rose madder and sage green, dreamlike but orderly, strong nested symmetry, no legible words, no text. ### 105. Assistant Attaching each cover (sequentially again): #### Tool call: `update_document_metadata` ```json { "cover_image_id": "ZDTAE9", "document_id": "NBH3BE" } ``` ### 106. Tool result: update_document_metadata Updated metadata for #NBH3BE: cover_image_id ### 107. Assistant tool calls #### Tool call: `update_document_metadata` ```json { "cover_image_id": "EJL6FK", "document_id": "7ESDBJ" } ``` ### 108. Tool result: update_document_metadata Updated metadata for #7ESDBJ: cover_image_id ### 109. Assistant tool calls #### Tool call: `update_document_metadata` ```json { "cover_image_id": "8J892Z", "document_id": "WYH36B" } ``` ### 110. Tool result: update_document_metadata Updated metadata for #WYH36B: cover_image_id ### 111. Assistant tool calls #### Tool call: `update_document_metadata` ```json { "cover_image_id": "6XMNU3", "document_id": "67REFX" } ``` ### 112. Tool result: update_document_metadata Updated metadata for #67REFX: cover_image_id ### 113. Assistant tool calls #### Tool call: `update_document_metadata` ```json { "cover_image_id": "JRT95U", "document_id": "AULNWD" } ``` ### 114. Tool result: update_document_metadata Updated metadata for #AULNWD: cover_image_id ### 115. Assistant All done: **Folders** - **Accounting Algebra & Property Theory** (new): #NBH3BE, #7ESDBJ, plus #GANFP9 and #C8FHDZ moved out of Living Structure - **Technology, Scale & Conviviality** (new): #67REFX, #WYH36B - **Living Structure, Wholeness & Beauty**: gained #AULNWD **Covers** - #NBH3BE — ledger grid morphing into a directed graph (#ZDTAE9) - #7ESDBJ — balance scale weighing debit/credit vectors, vintage 1982 print style (#EJL6FK) - #WYH36B — linocut town square at dusk (#8J892Z) - #67REFX — Rhine dam with the sky caught in Enframing lines (#6XMNU3) - #AULNWD — verse dissolving into nested architecture (#JRT95U) One caveat: an escaped-ampersand bug on my part briefly created a duplicate empty folder "Living Structure, Wholeness & Beauty". The document is now correctly in the real folder, but the empty duplicate may still linger in the folder list — if it shows up in your sidebar, it should be deletable from the UI (I have no folder-deletion tool).