{"slug":"hunter-infinite-cause-dynamic-reality","identifier":"hunter-infinite-cause-dynamic-reality","title":"Infinite Cause, Dynamic Reality, and the Axiom of Logic","author":"Maclain Hunter","sourceSha256":"68d262bdd1cd10a84662e97e1bd7f3dbaafa58e0901c474a9772597e9e719f57","sourceKind":"authored-foundational-record","recordedAt":"2026-10-03T01:33:08.738Z","recordedAtMeaning":"Database registration time, not a claim of original handwritten authorship.","originalAuthoredAt":null,"formalizedAt":"2026-10-03T10:37:05.082Z","checkedAt":"2026-10-03T10:38:56.394Z","status":"verified","axiomFree":true,"axioms":[],"theoremNames":["HunterAuthored.inference_1","HunterAuthored.inference_2","HunterAuthored.source_identity_rule"],"units":[{"id":"inference_1","sourceStatement":"{C, L, I} |= (C <-> L) <-> I","sourceOffset":1786,"scope":"Exact source sequent under finite two-valued propositional semantics. 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Source proposition meanings and Logic/Logos/God Ground are preserved separately; this checks the inference, not unencoded prose.","variables":["P","Q","R"],"premises":["P","Q","R"],"conclusion":"(P <-> Q) <-> R","status":"candidate","leanStatement":"theorem inference_2 (v0 v1 v2 : Bool) :\n    ((!((v0 && v1) && v2)) || ((v0 == v1) == v2)) = true := by\n  cases v0 <;> cases v1 <;> cases v2 <;> decide\n#print axioms inference_2\n","kernelStatus":"verified","axioms":[],"axiomFree":true,"reportedTheorem":"HunterAuthored.inference_2"},{"id":"source_identity_rule","sourceStatement":"Law of Identity","sourceOffset":706,"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":"07e0a17d7004cffdb1fe1cd1857e5e88c4cdaacfa2edf7b6cea9d8218ae075e1","bytes":3299},"Proof.lean":{"sha256":"4b79bc3779afd855cb617fe6cdb9c0bb47c3ee8931cdf7a9f9b3788800214d4e","bytes":763},"lean-check.txt":{"sha256":"40b7da001d5d78d36b6960c8ae1b7c13a2ea6cf5f9da51ea55e40e490d78ea16","bytes":242}},"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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