{"slug":"hunter-logical-proof-empirical-data","identifier":"hunter-logical-proof-empirical-data","title":"Logical Proof is Empirical Data by Maclain Hunter","author":"Maclain Hunter","sourceSha256":"f86cc0bb797a84091e1752913616ad3d2768dc1999336159ba9dd53a68149b27","sourceKind":"authored-foundational-record","recordedAt":"2026-10-03T01:34:09.158Z","recordedAtMeaning":"Database registration time, not a claim of original handwritten authorship.","originalAuthoredAt":null,"formalizedAt":"2026-10-03T10:37:05.082Z","checkedAt":"2026-10-03T10:39:46.281Z","status":"verified","axiomFree":true,"axioms":[],"theoremNames":["HunterAuthored.inference_1"],"units":[{"id":"inference_1","sourceStatement":"{P, P -> Q, Q -> R, R -> S} |= (P & Q) & (R & S)","sourceOffset":2097,"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"}],"files":{"source.json":{"sha256":"0699b2ac8a50cf2be00d8d9141591705b9d71e6f346030297ff1aa9259ea70a2","bytes":4114},"Proof.lean":{"sha256":"9307c0c7f3f84511e08b3f68e0f4a945f7fa5751026955b03a2d15ac8356b21c","bytes":543},"lean-check.txt":{"sha256":"283a8aa40f54008e4bfc528069537344fae9f76a8d2f62b37f48d942b98ba62c","bytes":115}},"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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