{"slug":"hunter-logical-reasoning-forms-applications","identifier":"hunter-logical-reasoning-forms-applications","title":"Logic, Logical Reasoning, Forms, and Applications","author":"Maclain Hunter","sourceSha256":"9584dbd358008d2f84163e5dbb7659e2d49eba11368534b47f5a076d322f73ff","sourceKind":"authored-foundational-record","recordedAt":"2026-10-03T01:31:08.432Z","recordedAtMeaning":"Database registration time, not a claim of original handwritten authorship.","originalAuthoredAt":null,"formalizedAt":"2026-10-03T10:37:05.082Z","checkedAt":"2026-10-03T10:39:31.884Z","status":"partial","axiomFree":true,"axioms":[],"theoremNames":["HunterAuthored.inference_2","HunterAuthored.source_identity_rule"],"units":[{"id":"inference_1","sourceStatement":"{P, P->Q, Q->R, R->S, S->T, T->U, U->[and so on...]} |= ((((P & Q) & (R & S) & T) & U) [and so on]]]","sourceOffset":422,"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":[],"premises":[],"conclusion":"","status":"unsupported","reason":"Unsupported formal syntax near \"[and so on...]\"","kernelStatus":"not_checked"},{"id":"inference_2","sourceStatement":"{P, P->Q, Q->P} |= P & Q","sourceOffset":535,"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"],"premises":["P","P->Q","Q->P"],"conclusion":"P & Q","status":"candidate","leanStatement":"theorem inference_2 (v0 v1 : Bool) :\n    ((!((v0 && ((!v0) || v1)) && ((!v1) || v0))) || (v0 && v1)) = true := by\n  cases v0 <;> cases v1 <;> 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":284,"scope":"The explicitly named Identity rule, over every type and element. 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