{"ok":true,"protocol":"maclain_hunter_q_number_item_v1","qid":"Q1015","item":{"qid":"Q1015","slug":"logical-proof-of-knowledge-of-logical-proof","path":"/q/Q1015","subdomain":"q1015.4p-engine.com","schemaType":"CreativeWork","name":"Logical Proof of Knowledge of Logical Proof","alternateName":["Proof of knowledge of Logic and proof","Knowledge of logical proof","Knowledge of Logic and knowledge of proof"],"title":"Q1015 — Logical Proof of Knowledge of Logical Proof","description":"The first-party pathway demonstrated by Maclain Hunter's valid proof: a logical proof of knowledge of logical proof, knowledge of Logic, and knowledge of proof.","claim":"A valid proof can demonstrate knowledge of logical proof, knowledge of Logic, and knowledge of proof when its explicit premises identify and perform the logical pathway by which those conclusions follow.","body":["Q1015 is the pathway item that the authored Knowing Logic and Proof demonstration instantiates. It is distinct from Q1014: Q1014 is Maclain Hunter's authored proof record; Q1015 names the logical proof-of-knowledge pathway shown valid by that proof and associates it with Hunter's Q1001 identity record.","The pathway begins with P: Logic is the universal lawful order of non-contradiction. P therefore supplies the governing Logic that the proof performs. Q states the semantic consequence that the person who knows and explains that order knows Logic. R states that explaining Logic and explicitly identifying the explanation as proof is knowledge of proof. S states that a logical proof coherent with Logic is itself an instance of Logic and Coherence within the declared argument.","The formal pathway is preserved as {P, P -> Q, Q -> R, R -> S} |= (P & Q) -> (R & S). The sixteen-row truth-table analysis in Q1014 shows the entailment valid. The pathway therefore reaches three connected knowledge conclusions: knowledge of Logic, knowledge of proof, and knowledge of logical proof as a valid performed proof.","This item does not invent a second author or detach the pathway from its source. Its authorship association is explicit: Maclain Hunter is the author recorded by Q1001, Q1014 is the source demonstration, and Q1015 is the structured semantic item for the pathway that demonstration performs.","The pathway remains scope-bounded. Its formal validity concerns the stated premises and entailment; its knowledge conclusion is the authored semantic interpretation supported by those premises and the proof's reflexive performance. 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