{"slug":"hunter-finite-infinite-logos","identifier":"hunter-finite-infinite-logos","title":"Finite and Infinite Logos","author":"Maclain Hunter","sourceSha256":"5bb6fe337f8531e874f96faf9b88fbda12ef8c49a1319d34a7e7074876ad2879","sourceKind":"authored-foundational-record","recordedAt":"2026-10-02T23:11:02.405Z","recordedAtMeaning":"Database registration time, not a claim of original handwritten authorship.","originalAuthoredAt":null,"formalizedAt":"2026-10-03T10:37:05.082Z","checkedAt":"2026-10-03T10:38:17.684Z","status":"verified","axiomFree":true,"axioms":[],"theoremNames":["HunterAuthored.inference_1"],"units":[{"id":"inference_1","sourceStatement":"{P -> P} |= (P -> P) & ((Q -> Q) & (R -> R))","sourceOffset":235,"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"],"premises":["P -> P"],"conclusion":"(P -> P) & ((Q -> Q) & (R -> R))","status":"candidate","leanStatement":"theorem inference_1 (v0 v1 v2 : Bool) :\n    ((!((!v0) || v0)) || (((!v0) || v0) && (((!v1) || v1) && ((!v2) || v2)))) = true := by\n  cases v0 <;> cases v1 <;> cases v2 <;> decide\n#print axioms inference_1\n","kernelStatus":"verified","axioms":[],"axiomFree":true,"reportedTheorem":"HunterAuthored.inference_1"}],"files":{"source.json":{"sha256":"69bb967794c10c7f6c47c96f6e2d1739514603411422e1499db160dc47b9f80f","bytes":848},"Proof.lean":{"sha256":"dfd3b3df2635c468ce8af348a6247aa26eb40ffc87c7b2a57071a4c5d399a8a9","bytes":482},"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. No unencoded section is certified by a neighboring theorem.","currentSourceSha256":"5bb6fe337f8531e874f96faf9b88fbda12ef8c49a1319d34a7e7074876ad2879","timestamp":"2026-10-03T10:42:55.000Z","timestampAuthority":"https://www.freetsa.org","manifestSha256":"6e4e8d5c750a86f20e8f987a742b4eb2f588563a5f23a438ab84950f16eec8c4","url":"/proof-verification/hunter-finite-infinite-logos","jsonUrl":"/proof-verification/hunter-finite-infinite-logos.json","leanUrl":"/proof-verification/hunter-finite-infinite-logos.lean","graph":{"@context":"https://schema.org","@type":"SoftwareSourceCode","@id":"https://4p-engine.com/proof-verification/hunter-finite-infinite-logos#lean","name":"Lean 4 witness: Finite and Infinite Logos","url":"https://4p-engine.com/proof-verification/hunter-finite-infinite-logos","dateCreated":"2026-10-03T10:37:05.082Z","dateModified":"2026-10-03T10:38:17.684Z","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. No unencoded section is certified by a neighboring theorem.","isBasedOn":{"@type":"CreativeWork","name":"Finite and Infinite Logos","author":{"@type":"Person","name":"Maclain Hunter"},"url":"https://4p-engine.com/proof-knowledge/hunter-finite-infinite-logos","identifier":"hunter-finite-infinite-logos"},"encoding":{"@type":"MediaObject","encodingFormat":"text/plain","contentUrl":"https://4p-engine.com/proof-verification/hunter-finite-infinite-logos.lean"},"subjectOf":{"@type":"DigitalDocument","name":"Independently verified RFC 3161 existence timestamp","dateCreated":"2026-10-03T10:42:55.000Z","url":"https://4p-engine.com/proof-verification/timestamp.json"},"additionalProperty":[{"@type":"PropertyValue","name":"verificationStatus","value":"verified"},{"@type":"PropertyValue","name":"axiomFree","value":"true"},{"@type":"PropertyValue","name":"axiomDependencies","value":"[]"},{"@type":"PropertyValue","name":"theorems","value":"[\"HunterAuthored.inference_1\"]"},{"@type":"PropertyValue","name":"sourceSha256","value":"5bb6fe337f8531e874f96faf9b88fbda12ef8c49a1319d34a7e7074876ad2879"},{"@type":"PropertyValue","name":"releaseManifestSha256","value":"6e4e8d5c750a86f20e8f987a742b4eb2f588563a5f23a438ab84950f16eec8c4"},{"@type":"PropertyValue","name":"sourceRecordedAt","value":"2026-10-02T23:11:02.405Z"},{"@type":"PropertyValue","name":"sourceDateMeaning","value":"Database registration time, not a claim of original handwritten authorship."},{"@type":"PropertyValue","name":"originalAuthoredAt","value":"null"},{"@type":"PropertyValue","name":"timestampAuthority","value":"https://www.freetsa.org"},{"@type":"PropertyValue","name":"timestampScope","value":"Independent cryptographic existence timestamp for the manifest and its content-addressed artifacts. 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"}]}}