{"slug":"hunter-logical-ontology","identifier":"hunter-logical-ontology","title":"Logical Ontology by Maclain Hunter","author":"Maclain Hunter","sourceSha256":"5fa03c3b38b505522b3c08e029f8d05a875de67b2f534689ec6f46a1864f1bb0","sourceKind":"authored-foundational-record","recordedAt":"2026-10-02T16:57:27.325Z","recordedAtMeaning":"Database registration time, not a claim of original handwritten authorship.","originalAuthoredAt":null,"formalizedAt":"2026-10-03T10:37:05.082Z","checkedAt":"2026-10-03T10:39:45.320Z","status":"verified","axiomFree":true,"axioms":[],"theoremNames":["HunterAuthored.inference_1","HunterAuthored.source_identity_rule"],"units":[{"id":"inference_1","sourceStatement":"{P, P -> Q, Q -> R, R -> S} |= (P & Q) -> (R & S)","sourceOffset":4255,"scope":"Exact source sequent under finite two-valued propositional semantics. Source proposition meanings and Logic/Logos/God Ground are preserved separately; this checks the inference, not unencoded prose.","variables":["P","Q","R","S"],"premises":["P","P -> Q","Q -> R","R -> S"],"conclusion":"(P & Q) -> (R & S)","status":"candidate","leanStatement":"theorem inference_1 (v0 v1 v2 v3 : Bool) :\n    ((!(((v0 && ((!v0) || v1)) && ((!v1) || v2)) && ((!v2) || v3))) || ((!(v0 && v1)) || (v2 && v3))) = true := by\n  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide\n#print axioms inference_1\n","kernelStatus":"verified","axioms":[],"axiomFree":true,"reportedTheorem":"HunterAuthored.inference_1"},{"id":"source_identity_rule","sourceStatement":"Logic is LOGIC","sourceOffset":205,"scope":"The explicitly named Identity rule, over every type and element. The remaining prose is not replaced by this witness.","status":"candidate","variables":[],"premises":[],"conclusion":"∀ (α : Type) (a : α), a = a","leanStatement":"theorem source_identity_rule (α : Type) (a : α) : a = a := rfl\n#print axioms source_identity_rule\n","kernelStatus":"verified","axioms":[],"axiomFree":true,"reportedTheorem":"HunterAuthored.source_identity_rule"}],"files":{"source.json":{"sha256":"56485291aa0a64a04314856634bf1a25ee263ee83c94037f730a40e05e684ab1","bytes":9226},"Proof.lean":{"sha256":"e0919690104107d320fda52c0e716bde3a1b9de98565d42db742569719108a64","bytes":632},"lean-check.txt":{"sha256":"c984470b7e70c1b533a43d5274fb204be8ef76a0e5c9aaacde641a6b4b8b74fd","bytes":183}},"boundary":"Lean establishes the listed formal statements and dependencies. The exact authored source, Ground, known premise meanings, application validation and empirical evidence remain separately typed. 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The exact authored source, Ground, known premise meanings, application validation and empirical evidence remain separately typed. 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Not legal notarization, an authorship adjudication, or a retroactive timestamp for handwritten work."},{"@type":"PropertyValue","name":"governingGround","value":"Logic / Logos / God"},{"@type":"PropertyValue","name":"formalizationAttribution","value":"Machine formalization by Replit Agent of Maclain Hunter's unchanged authored source"}]}}