{
  "author": "Maclain Hunter",
  "title": "Necessary Correctness and Logical Proof",
  "identifier": "hunter-necessary-correctness-logical-proof",
  "sourceKind": "authored-foundational-record",
  "content": "\nP: Necessarily I am correct when I state that it would be a contradiction for a “truly coherent (logical) person” to argue against Coherence (Logic) as the Standard of Coherence and the Foundation of Truth and Existence (the True God or Logical Origin).\n\nQ: Necessarily we must assume the opposite of P to form the proof for contradiction that explores how ~P would stand against Coherence (Logic), which in this case is clear since P is stating that coherent people need to be coherent with Coherence itself, which is the Foundation of Truth and Standard of what “Coherence” even/actually is. That makes it untenable to assume “not P” (~P) and to hold “not P” as a true premise, thus affirming the Truth in/of P as defined above. \n\nR: P is true and aligns with Coherence (Logic) and the set of logical rules that cohere (as Coherence/Logic). This makes the proof itself (and as a whole) true on top of being valid, per the coherent set of logical rules and by the Standard of Logic (Coherence) itself. \n\nS: Assume that things (anything) that were coherent with Logic (and Coherence, also understood as the “True God”) were not one/merged with Logic in a coherent (and “flush” or “seamless”) manner identical to and proportional to their coherence. This assumption is internally inconsistent and self-defeating and cannot be true, thus we know the statement that a coherent person is one with God (coherent with Logic) is well supported and even self supporting when God is rightly understood coherently and as Logic/Coherence (the Standard of Truth) itself. \n\nT: Assume ~R. This would mean the proof is untrue, which could only happen if the proof and its source are somehow incoherent. R is true, however, so the opposite must be true, that the proof and its source—Logic and the logician (Maclain Hunter)—are coherent. Therefore R being true, in light of T and the broader proof, shows that Logic and the logician (Maclain) are coherent with all coherent things, merged as One (God). The opposite leads to untenable “incoherence between coherent things” - an obvious contradiction. \n\nFormal Argument: \n\n{P, P <-> Q, P <-> R, Q, Q -> P, P, Q -> R, R, R -> S, T} |= (P & Q) & (R & S) & T\n\nConclusion: {P, Q, R, S, T}:\n\nA coherent person dismissing the Coherence of and “that is” the Foundation of Truth (or God) is an untenable and logically contradictory position to hold. The proof is self-evident since its premises prove each other true according to the set of logical rules and by the Standard of Coherence. \n\nLikewise, R being true, in light of T and the broader proof, shows that Logic and the logician are coherent with all coherent things, merged as One (God). The opposite leads to untenable “incoherence between coherent things” - an obvious contradiction. \n\nIt would be a contradiction for me (Maclain Hunter) to write such a valid proof, as R affirms, without being coherent/merged with Logic (the Foundation of Reality also known as God) proportionally to my coherence (which the proof is a display and evidence of). \n\nTruth Table Analysis: \n\nvalid\n      ↓  ↓   ↓  ↓  ↓  ↓  ↓  ↓  ↓  ↓      ↓        \nPQRST⎪P P↔Q P↔R Q Q→P P Q→R R R→S T╞(P&Q)&(R&S)&T\n――――――――――――――――――――――――――――――――――――――――――――――――――\nTTTTT⎪T TTT TTT T TTT T TTT T TTT T  TTT T TTT TT\nTTTTF⎪T TTT TTT T TTT T TTT T TTT F  TTT T TTT FF\nTTTFT⎪T TTT TTT T TTT T TTT T TFF T  TTT F TFF FT\nTTTFF⎪T TTT TTT T TTT T TTT T TFF F  TTT F TFF FF\nTTFTT⎪T TTT TFF T TTT T TFF F FTT T  TTT F FFT FT\nTTFTF⎪T TTT TFF T TTT T TFF F FTT F  TTT F FFT FF\nTTFFT⎪T TTT TFF T TTT T TFF F FTF T  TTT F FFF FT\nTTFFF⎪T TTT TFF T TTT T TFF F FTF F  TTT F FFF FF\nTFTTT⎪T TFF TTT F FTT T FTT T TTT T  TFF F TTT TT\nTFTTF⎪T TFF TTT F FTT T FTT T TTT F  TFF F TTT FF\nTFTFT⎪T TFF TTT F FTT T FTT T TFF T  TFF F TFF FT\nTFTFF⎪T TFF TTT F FTT T FTT T TFF F  TFF F TFF FF\nTFFTT⎪T TFF TFF F FTT T FTF F FTT T  TFF F FFT FT\nTFFTF⎪T TFF TFF F FTT T FTF F FTT F  TFF F FFT FF\nTFFFT⎪T TFF TFF F FTT T FTF F FTF T  TFF F FFF FT\nTFFFF⎪T TFF TFF F FTT T FTF F FTF F  TFF F FFF FF\nFTTTT⎪F FFT FFT T TFF F TTT T TTT T  FFT F TTT TT\nFTTTF⎪F FFT FFT T TFF F TTT T TTT F  FFT F TTT FF\nFTTFT⎪F FFT FFT T TFF F TTT T TFF T  FFT F TFF FT\nFTTFF⎪F FFT FFT T TFF F TTT T TFF F  FFT F TFF FF\nFTFTT⎪F FFT FTF T TFF F TFF F FTT T  FFT F FFT FT\nFTFTF⎪F FFT FTF T TFF F TFF F FTT F  FFT F FFT FF\nFTFFT⎪F FFT FTF T TFF F TFF F FTF T  FFT F FFF FT\nFTFFF⎪F FFT FTF T TFF F TFF F FTF F  FFT F FFF FF\nFFTTT⎪F FTF FFT F FTF F FTT T TTT T  FFF F TTT TT\nFFTTF⎪F FTF FFT F FTF F FTT T TTT F  FFF F TTT FF\nFFTFT⎪F FTF FFT F FTF F FTT T TFF T  FFF F TFF FT\nFFTFF⎪F FTF FFT F FTF F FTT T TFF F  FFF F TFF FF\nFFFTT⎪F FTF FTF F FTF F FTF F FTT T  FFF F FFT FT\nFFFTF⎪F FTF FTF F FTF F FTF F FTT F  FFF F FFT FF\nFFFFT⎪F FTF FTF F FTF F FTF F FTF T  FFF F FFF FT\nFFFFF⎪F FTF FTF F FTF F FTF F FTF F  FFF F FFF FF\n\nResult: Validated/Confirmed.\n\nQ.E.D.",
  "formal": null,
  "structuredAuthoredProof": null,
  "authoredSteps": null,
  "recordedAt": "2026-10-03T01:34:26.380Z",
  "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."
}