{
  "author": "Maclain Hunter",
  "title": "Proof I Know Proof by Maclain Hunter",
  "identifier": "hunter-i-know-proof",
  "sourceKind": "authored-foundational-record",
  "content": "Proof I Know Proof by Maclain Hunter:\n\nPremises: \n\nP: If you truly know proof you should be able to prove that with proof, otherwise a paradox and contradiction arises. Why can’t you (if not) - we would be reasonable to ask.\n\nQ: Proof encompasses evidence and arguments (ie - logical proofs) that demonstrate Truth or facts within Reality. My ability to coherently explain what proof is, with a rational definition aligned with the Oxford English Dictionary (OED) definition of “proof” and the classical (philosophical) understanding of what “proof” is, within a formal argument and valid logical proof, demonstrates that I have a perfect understanding of what proof is and/or can be.\n\nR: This proof and the coherent explanation given in premise Q satisfy the expectation of P that a logician like me should be able to prove we know what proof is with a formal argument and rigorous explanation, avoiding the paradox that could be seen as arising if I could not prove that I know what proof is - while being a purported expert on proof and a master of Logic whose forte is supposed to be proof writing and proof theory. \n\nS: Assume ~(P, Q, R). This leads to logical contradiction as it would mean that experts on proof aren’t expected to prove that consistent with their field of expertise - which is logically inconsistent. It would also be inconsistent with my demonstration, which validly used dictionary definitions of proof and reductio ad absurdum to derive the proof. Accepting the premises is consistent with Logic, the nature of proof, and the dictionary (OED) definition of proof, and my ability to write a valid argument semantically within a syntactically sound structure. The structural validity can be and has been confirmed with a Logic calculator.\n\nLogical Argument (Formal Proof): \n\n{P, P <-> Q, Q <-> R, R <-> S} |= (P & Q) & (R & S)\n\nConclusion: {P, Q, R, S}:\n\nIt is evident in this proof that I (Maclain Hunter - the logician) know what proof is. The hallmarks of proof including internal, logical, and universal consistency are satisfied.\n\nIt’s not fallaciously circular, it’s tautological, and/as premises are true and valid. Air’s not saying I know proof because I can prove I know proof but am not doing it. It is saying I know proof because I am writing this proof and proving it as I speak to you (here). It’s different from a statement that begs the question by starting and concluding with a premise that lacks rational support. \n\nHere rational support is not external to Logic (but it need not logically be), it is derived from the Logos and Logical Structure. This is not a lack of rational support, and because the demonstration is formal and visible, possible to observe in physical Reality, it is empirically valid also. It would be a contradiction if this were not the case, as it would mean we cannot sense Logic (and Rational Sense) itself - which would be a senseless and untenable position.\n\nTruth Table Analysis: \n\nvalid\n     ↓  ↓   ↓   ↓       ↓      \nPQRS⎪P P↔Q Q↔R R↔S╞(P&Q)&(R&S)\n―――――――――――――――――――――――――――――――\nTTTT⎪T TTT TTT TTT  TTT T TTT \nTTTF⎪T TTT TTT TFF  TTT F TFF \nTTFT⎪T TTT TFF FFT  TTT F FFT \nTTFF⎪T TTT TFF FTF  TTT F FFF \nTFTT⎪T TFF FFT TTT  TFF F TTT \nTFTF⎪T TFF FFT TFF  TFF F TFF \nTFFT⎪T TFF FTF FFT  TFF F FFT \nTFFF⎪T TFF FTF FTF  TFF F FFF \nFTTT⎪F FFT TTT TTT  FFT F TTT \nFTTF⎪F FFT TTT TFF  FFT F TFF \nFTFT⎪F FFT TFF FFT  FFT F FFT \nFTFF⎪F FFT TFF FTF  FFT F FFF \nFFTT⎪F FTF FFT TTT  FFF F TTT \nFFTF⎪F FTF FFT TFF  FFF F TFF \nFFFT⎪F FTF FTF FFT  FFF F FFT \nFFFF⎪F FTF FTF FTF  FFF F FFF \n\nQ.E.D.",
  "formal": null,
  "structuredAuthoredProof": null,
  "authoredSteps": null,
  "recordedAt": "2026-10-02T17:13:02.889Z",
  "originalAuthoredAt": null,
  "propositionMeaningBoundary": "Atomic identifiers retain their meanings in the exact source. No arbitrary truth assignment establishes an ontological or empirical premise; the formal witness checks the written inference."
}