{"slug":"hunter-logic-foundation-not-presupposition","identifier":"hunter-logic-foundation-not-presupposition","title":"Logic as Foundation, not Presupposition","author":"Maclain Hunter","sourceSha256":"bccf1ae9f6fdc8246f04b3db71ae0b99e5bc6a817e56a11423ac5d40f4ed876e","sourceKind":"authored-foundational-record","recordedAt":"2026-10-03T01:37:09.425Z","recordedAtMeaning":"Database registration time, not a claim of original handwritten authorship.","originalAuthoredAt":null,"formalizedAt":"2026-10-03T10:37:05.082Z","checkedAt":"2026-10-03T10:39:15.987Z","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, S -> T} |= (P & Q) & (R & S) & T","sourceOffset":447,"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","T"],"premises":["P","P -> Q","Q -> R","R -> S","S -> T"],"conclusion":"(P & Q) & (R & S) & T","status":"candidate","leanStatement":"theorem inference_1 (v0 v1 v2 v3 v4 : Bool) :\n    ((!((((v0 && ((!v0) || v1)) && ((!v1) || v2)) && ((!v2) || v3)) && ((!v3) || v4))) || (((v0 && v1) && (v2 && v3)) && v4)) = true := by\n  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> 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":3,"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":"190b84bc58a19ca728398e71895295c6980a85d47ef113a0797ac3bcadafbc95","bytes":1605},"Proof.lean":{"sha256":"fcb707ebb5871f55f8472dafb2c6d642ea278a13eae3e51f227e84b30ac73f23","bytes":677},"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. No unencoded section is certified by a neighboring theorem.","currentSourceSha256":"bccf1ae9f6fdc8246f04b3db71ae0b99e5bc6a817e56a11423ac5d40f4ed876e","timestamp":"2026-10-03T10:42:55.000Z","timestampAuthority":"https://www.freetsa.org","manifestSha256":"6e4e8d5c750a86f20e8f987a742b4eb2f588563a5f23a438ab84950f16eec8c4","url":"/proof-verification/hunter-logic-foundation-not-presupposition","jsonUrl":"/proof-verification/hunter-logic-foundation-not-presupposition.json","leanUrl":"/proof-verification/hunter-logic-foundation-not-presupposition.lean","graph":{"@context":"https://schema.org","@type":"SoftwareSourceCode","@id":"https://mcbcore.net/proof-verification/hunter-logic-foundation-not-presupposition#lean","name":"Lean 4 witness: Logic as Foundation, not Presupposition","url":"https://mcbcore.net/proof-verification/hunter-logic-foundation-not-presupposition","dateCreated":"2026-10-03T10:37:05.082Z","dateModified":"2026-10-03T10:39:15.987Z","creator":{"@type":"Organization","name":"Replit Agent"},"programmingLanguage":{"@type":"ComputerLanguage","name":"Lean","version":"Lean (version 4.7.0, commit v4.7.0, Release)"},"author":{"@type":"Organization","name":"Replit Agent"},"description":"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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