DRCT: black-box reconstruction & invented concepts / Manuscript

DRCT v16 — Ontology / Arity Discovery

Earlier indexed version23 Aug 2026 · saved

The archived source is available to read.

01 / THE QUESTION

Editorial guide

Without assuming the missing relation is binary, can a learner infer the minimum arity and scope of a new relation from data?

02 / WHAT THE RECORD SAYS

Source passage

Then $r^\star$ is the minimum relational arity required for predictive closure relative to the supplied meta-language and measurement coordinates.

03 / LIMITS & OPEN POINTS

Source passage

The remaining wall is the meta-language itself: v16 still assumes that useful new concepts are representable as finite relations plus affine composition.

04 / THE NEXT QUESTION

Editorial guide

Does a relation invented in one world recur across independent worlds strongly enough to become a reusable concept?

05 / CHECKS IN THE RECORD

Editorial guide

This record does not separate a verification section. Read its methods, assumptions and original source before treating a claim as checked.

Previous connections

DRCT v15 — Operator Invention From Closure Residualsseries order (mechanical)

Following connections

DRCT v17 — Transferable Concept Inventionseries order (mechanical)

Source & provenance

Access: Public
Dates declared in the record: Not recorded
Project basis: Editorial topic association
Origin: d0re research collection (snapshot 1 October 2026)
Original path: /THEORY_V16.md
Authorship basis: Collection attribution; original record retains its own credits
Title basis: From the source
Date: 23 Aug 2026 · saved
Status basis: mechanical v0: a later release exists in drct
Size: 3,918 bytes
Word count: 552 words
SHA-256 of indexed source: 2ab60a5f99b140bce777a840a497802674ed4a9c06fa21d43b1e53f86b6dc801

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DRCT v16 — Ontology / Arity Discovery
Version 16
2026-08-23
d0re research record r-2ab60a5f99b1
https://www.d0re.com/library/records/r-2ab60a5f99b1.html
Authorship basis: Collection attribution; original record retains its own credits
Date basis: saved
Source SHA-256: 2ab60a5f99b140bce777a840a497802674ed4a9c06fa21d43b1e53f86b6dc801