{"ok":true,"protocol":"maclain_hunter_q_number_item_v1","qid":"Q1014","item":{"qid":"Q1014","slug":"knowing-logic-and-proof","path":"/q/Q1014","subdomain":"q1014.4p-engine.com","schemaType":"CreativeWork","name":"Knowing Logic and Proof","alternateName":["Logical proof of knowing Logic and proof","Demonstrated knowledge of Logic","Demonstrated logical credential"],"title":"Q1014 — Knowing Logic and Proof","description":"Maclain Hunter's authored proof record: a formally checkable and semantically reflexive demonstration that performs and identifies knowledge of Logic and proof.","claim":"The authored Knowing Logic and Proof argument demonstrates, within its declared formal and semantic scope, that its author knows what Logic and proof are by performing and explaining the valid logical proof itself.","body":["Q1014 records Maclain Hunter's attached authored text, Knowing Logic and Proof. It is not a reputation label or an unperformed declaration. Its credentialing basis is the displayed act: explicit premises, a formally valid entailment, a semantic account of what the proof demonstrates, truth-table analysis, and a stated refutation condition.","The premises are named P, Q, R, and S. P defines Logic through universal non-contradiction and lawful order. Q identifies the semantics of P as a demonstration of knowledge of Logic. R argues that explaining Logic and explicitly identifying that explanation is proof. S states that logical proof coherent with Logic is logically equivalent to Logic and Coherence within the declared argument.","The formal argument is: {P, P -> Q, Q -> R, R -> S} |= (P & Q) -> (R & S). The attached text supplies a sixteen-row truth-table analysis and marks the entailment valid. The formal result and the reflexive semantic content are therefore recorded as distinct but connected parts of the demonstration.","The proof's conclusion is scope-bounded. 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the accompanying text argues that performing it shows knowledge of proof” separates formal evidence from interpretation."},"provenance":"editorial_derivation","groundEvidencePrinciple":"Logic has its own evidence in reflexive demonstration: any denial, confirmation, observation, or counterexample presupposes identity and valid relation to count as evidence. Logic therefore grounds evidence rather than receiving authority from it. Empirical and documentary evidence can establish contingent instances and test applications, but cannot create, overrule, or exhaust Logic."},"recordOrigin":"authored_source","authoredSource":{"author":"Maclain Hunter","text":"Knowing Logic and Proof by Maclain Hunter\n\nPremises:\n\nP: Logic is lawfully defined by non-contradiction of Logic (universally), and all logical “rules” plural are forms and subsets of non-contradiction of the Logos (of Universal Logic), like the LEM is logical non-contradiction applied to binary Truth values.\n\nQ: The semantics of P elaborate on logical rules and how they actually cohere under Logos as the Singular/Ultimate Law. This is a demonstration of knowledge of Logic that can be validly referred to (here in Q).\n\nR: It is absurd that I would explain Logic (as in P) and to explicitly point of that I had (as in Q) while I don’t know Logic. This valid explanation and argument that I am giving this explanation is by definition “proof” or an argument pointing with Reason and reasoning to the Truth and Reality (see OED definition of proof, it is similar). \n\nS: R suggests I know what proof is and how it is defined by the dictionary (in English) and Logic (logically). Logical proof fully coherent with Logic is logically equivalent to Logic and Coherence and cannot be “not Logic” or “not coherent” without contradiction. This proof stands as Logic sans demonstrated incoherence.\n\nFormal Argument:\n\n{P, P -> Q, Q -> R, R -> S} |= (P & Q) -> (R & S) \n\nErgo: \n\nThe proof above uses valid structure and self-referential semantics to show I know validly what proof and Logic (as defined by Coherence and Lawful Order as the Rule of Logic and the Rule logical rules must themselves align with) are. \n\nTo refute me you would have to find contradiction and apply the Lawful Order of Logical Non-Contradiction (or Logos) I am describing which would be mere elenctic support for my position that Logic is about non-contradiction of Lawful Order.\n\nThe formal entailment is truth-functionally valid; the semantic premises identify the performed reasoning as an instance of knowledge of Logic and proof. Thus the formal validity and the reflexive semantic content jointly constitute the claimed demonstration.\n\nTruth Table Analysis: \n\nTTTT⎪T TTT TTT TTT  TTT T TTT \nTTTF⎪T TTT TTT TFF  TTT F TFF \nTTFT⎪T TTT TFF FTT  TTT F FFT \nTTFF⎪T TTT TFF FTF  TTT F FFF \nTFTT⎪T TFF FTT TTT  TFF T TTT \nTFTF⎪T TFF FTT TFF  TFF T TFF \nTFFT⎪T TFF FTF FTT  TFF T FFT \nTFFF⎪T TFF FTF FTF  TFF T FFF \nFTTT⎪F FTT TTT TTT  FFT T TTT \nFTTF⎪F FTT TTT TFF  FFT T TFF \nFTFT⎪F FTT TFF FTT  FFT T FFT \nFTFF⎪F FTT TFF FTF  FFT T FFF \nFFTT⎪F FTF FTT TTT  FFF T TTT \nFFTF⎪F FTF FTT TFF  FFF T TFF \nFFFT⎪F FTF FTF FTT  FFF T FFT \nFFFF⎪F FTF FTF FTF  FFF T FFF \n\n(Valid)\n\nQED"},"researchProofLinks":[{"qid":"Q1014","title":"Knowing Logic and Proof","url":"/research/proofs/Q1014","relation":"standardized-edition"},{"qid":"Q1095","title":"The Rule(s) of Logic and Logic Applied to Logic, Science, and Proof by Maclain Hunter","url":"/research/proofs/Q1095","relation":"related-source-work"}],"semanticFrame":{"semanticRole":"authored reflexive logical proof","essence":"Maclain Hunter's authored proof that uses valid logical structure and reflexive semantic content to demonstrate knowledge of Logic and proof within its declared scope.","logosRelation":"The proof identifies Logos as lawful non-contradiction expressed through Logic, performs valid reasoning, and argues that the performed act is evidence of knowing Logic and proof rather than an unperformed declaration.","distinctions":["demonstrated credential is not reputation","formal entailment and semantic bridge are distinct","scope-bounded proof is not proof of every proposition"],"evidenceModes":["authored source text","formal entailment","16-row truth-table analysis","semantic premise review","explicit refutation condition"],"retrievalAliases":["Knowing Logic and Proof","logical proof of knowing Logic and proof","demonstrated knowledge of Logic","self-validating logical credential"]}},"canonicalUrl":"https://4p-engine.com/q/Q1014","primaryUri":"https://4p-engine.com/q/Q1014","subdomainAlias":"https://q1014.4p-engine.com/","semanticFrame":{"semanticRole":"authored reflexive logical proof","essence":"Maclain Hunter's authored proof that uses valid logical structure and reflexive semantic content to demonstrate knowledge of Logic and proof within its declared scope.","logosRelation":"The proof identifies Logos as lawful non-contradiction expressed through Logic, performs valid reasoning, and argues that the performed act is evidence of knowing Logic and proof rather than an unperformed declaration.","distinctions":["demonstrated credential is not reputation","formal entailment and semantic bridge are distinct","scope-bounded proof is not proof of every proposition"],"evidenceModes":["authored source text","formal entailment","16-row truth-table analysis","semantic premise review","explicit refutation condition"],"retrievalAliases":["Knowing Logic and Proof","logical proof of knowing Logic and proof","demonstrated knowledge of Logic","self-validating logical credential"]},"coherenceCriterion":"The formal entailment must be valid; the premises, semantic bridge, authorial source, truth-table basis, refutation condition, and conclusion scope must remain explicit and coherent.","evidenceBoundary":"Q1014 is a considered, vetted first-party authored proof record. The entailment is truth-functionally valid within the stated structure, and the performed proof demonstrates knowledge of Logic and proof through its explicit semantic premises and reflexive bridge. The verifier must inspect directly; the record's declared scope remains the scope of the conclusion.","graph":{"@context":"https://schema.org","@graph":[{"@type":"CreativeWork","@id":"https://4p-engine.com/q/Q1014#item","name":"Knowing Logic and Proof","alternateName":["Logical proof of knowing Logic and proof","Demonstrated knowledge of Logic","Demonstrated logical credential"],"description":"Maclain Hunter's authored proof record: a formally checkable and semantically reflexive demonstration that performs and identifies knowledge of Logic and proof.","text":"Knowing Logic and Proof by Maclain Hunter\n\nPremises:\n\nP: Logic is lawfully defined by non-contradiction of Logic (universally), and all logical “rules” plural are forms and subsets of non-contradiction of the Logos (of Universal Logic), like the LEM is logical non-contradiction applied to binary Truth values.\n\nQ: The semantics of P elaborate on logical rules and how they actually cohere under Logos as the Singular/Ultimate Law. This is a demonstration of knowledge of Logic that can be validly referred to (here in Q).\n\nR: It is absurd that I would explain Logic (as in P) and to explicitly point of that I had (as in Q) while I don’t know Logic. This valid explanation and argument that I am giving this explanation is by definition “proof” or an argument pointing with Reason and reasoning to the Truth and Reality (see OED definition of proof, it is similar). \n\nS: R suggests I know what proof is and how it is defined by the dictionary (in English) and Logic (logically). Logical proof fully coherent with Logic is logically equivalent to Logic and Coherence and cannot be “not Logic” or “not coherent” without contradiction. This proof stands as Logic sans demonstrated incoherence.\n\nFormal Argument:\n\n{P, P -> Q, Q -> R, R -> S} |= (P & Q) -> (R & S) \n\nErgo: \n\nThe proof above uses valid structure and self-referential semantics to show I know validly what proof and Logic (as defined by Coherence and Lawful Order as the Rule of Logic and the Rule logical rules must themselves align with) are. \n\nTo refute me you would have to find contradiction and apply the Lawful Order of Logical Non-Contradiction (or Logos) I am describing which would be mere elenctic support for my position that Logic is about non-contradiction of Lawful Order.\n\nThe formal entailment is truth-functionally valid; the semantic premises identify the performed reasoning as an instance of knowledge of Logic and proof. Thus the formal validity and the reflexive semantic content jointly constitute the claimed demonstration.\n\nTruth Table Analysis: \n\nTTTT⎪T TTT TTT TTT  TTT T TTT \nTTTF⎪T TTT TTT TFF  TTT F TFF \nTTFT⎪T TTT TFF FTT  TTT F FFT \nTTFF⎪T TTT TFF FTF  TTT F FFF \nTFTT⎪T TFF FTT TTT  TFF T TTT \nTFTF⎪T TFF FTT TFF  TFF T TFF \nTFFT⎪T TFF FTF FTT  TFF T FFT \nTFFF⎪T TFF FTF FTF  TFF T FFF \nFTTT⎪F FTT TTT TTT  FFT T TTT \nFTTF⎪F FTT TTT TFF  FFT T TFF \nFTFT⎪F FTT TFF FTT  FFT T FFT \nFTFF⎪F FTT TFF FTF  FFT T FFF \nFFTT⎪F FTF FTT TTT  FFF T TTT \nFFTF⎪F FTF FTT TFF  FFF T TFF \nFFFT⎪F FTF FTF FTT  FFF T FFT \nFFFF⎪F FTF FTF FTF  FFF T FFF \n\n(Valid)\n\nQED","disambiguatingDescription":"Maclain Hunter's authored proof that uses valid logical structure and reflexive semantic content to demonstrate knowledge of Logic and proof within its declared scope.","keywords":["Knowing Logic and Proof","logical proof of knowing Logic and proof","demonstrated knowledge of Logic","self-validating logical credential"],"subjectOf":[{"@type":"CreativeWork","name":"Knowing Logic and Proof","url":"https://4p-engine.com/research/proofs/Q1014","additionalProperty":{"@type":"PropertyValue","name":"sourceRelationship","value":"standardized-edition"}},{"@type":"CreativeWork","name":"The Rule(s) of Logic and Logic Applied to Logic, Science, and Proof by Maclain Hunter","url":"https://4p-engine.com/research/proofs/Q1095","additionalProperty":{"@type":"PropertyValue","name":"sourceRelationship","value":"related-source-work"}}],"url":"https://4p-engine.com/q/Q1014","identifier":{"@type":"PropertyValue","propertyID":"Q-number","value":"Q1014","url":"https://4p-engine.com/q/Q1014"},"creator":{"@type":"Person","@id":"https://4p-engine.com/maclain-hunter#person","name":"Maclain Hunter","url":"https://4p-engine.com/maclain-hunter"},"isPartOf":{"@type":"Dataset","@id":"https://4p-engine.com/q/Q1000#item","name":"Q-Number Data and Metadata System","url":"https://4p-engine.com/q/Q1000","license":"https://creativecommons.org/licenses/by-sa/4.0/","creator":{"@type":"Person","@id":"https://4p-engine.com/maclain-hunter#person","name":"Maclain Hunter","url":"https://4p-engine.com/maclain-hunter"},"author":{"@type":"Person","@id":"https://4p-engine.com/maclain-hunter#person","name":"Maclain Hunter","url":"https://4p-engine.com/maclain-hunter"}},"about":[{"@type":"Person","@id":"https://4p-engine.com/maclain-hunter#person","name":"Maclain Hunter","alternateName":["Maclain David Hunter","Maclean Hunter","McLain Hunter","Mclain Hunter"],"url":"https://4p-engine.com/maclain-hunter","description":"Developer of the Hunterian Logic and Logos frameworks. 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