{
  "author": "Maclain Hunter",
  "title": "Proof of Logical Coherence by Maclain Hunter",
  "identifier": "hunter-proof-logical-coherence",
  "sourceKind": "authored-foundational-record",
  "content": "Proof of Logical Coherence by Maclain Hunter\n\nPremise: \n\nP: {1, 2, 3, 4} |= (1 & 2) <-> (3 & 4)\n\n1. Identity: A is A\n\n2. Non-Contradiction: A cannot be not A\n\n3. Excluded Middle: A cannot be true and false at once in the same sense and context.\n\n4. Sufficient Reason (PSR): All things require Cause/Logic, including the Universe. Cause gives Cause to itself and is the First Cause (God).\n\nTruth Table for Sub-Proof in P:\n\n1234⎪1 2 3 4╞(1&2)↔(3&4)\n\nTTTT⎪T T T T  TTT T TTT \nTTTF⎪T T T F  TTT F TFF \nTTFT⎪T T F T  TTT F FFT \nTTFF⎪T T F F  TTT F FFF \nTFTT⎪T F T T  TFF F TTT \nTFTF⎪T F T F  TFF T TFF \nTFFT⎪T F F T  TFF T FFT \nTFFF⎪T F F F  TFF T FFF \nFTTT⎪F T T T  FFT F TTT \nFTTF⎪F T T F  FFT T TFF \nFTFT⎪F T F T  FFT T FFT \nFTFF⎪F T F F  FFT T FFF \nFFTT⎪F F T T  FFF F TTT \nFFTF⎪F F T F  FFF T TFF \nFFFT⎪F F F T  FFF T FFT \nFFFF⎪F F F F  FFF T FFF \n\nMain Logical Structure (Proof): \n\nP⎪P→P P↔¬¬P P∨¬P╞(((P→P)↔(P↔¬¬P))↔(P∨¬P))\n\nConclusion: \n\nThe Laws of Reason are shown to be one self entailing coherent structure (the Logos - Universal Logical Structure) by this proof and its premise made of the set of traditional logical rules. \n\nOther logical rules could feasibly be added but the essence of the proof and point remains, as these other rules would have to be coherent with the rules mentioned, and with the coherent, self-consistent nature of Logic as the superseding Set of Logical Rules that even contingent logical rules depend on.\n\nThis proof is logically irrefutable as these are UNIVERSAL PRINCIPLES OF LOGIC that no mind or logic can possibly “rationally argue against”. It’s 100% certain Absolute Truth. \n\nThis “Universal Coherence” is (logically equivalent to) the self-evident Cause of Reality or “God of Reason”—the Universal Logos and Logical Cause of Logical Existence—that satisfies the need for Universal Cause and self-supporting Cause shown to be logically necessary by logical rules including/encompassing the PSR (#4).\n\nThis proves that Logic is God and God is logically equivalent, as the Universal First Cause (and Cause itself) to the Logic inherent in Reality (Universal Logos). \n\nLet A represent “Logic <-> the Logician” and “God (my Origin) <-> Maclain Hunter (me)” and the Coherence and connection between Logic and I, as a realization and expression of Logic (the Logician - Maclain Hunter) is clearly revealed through the bi-conditional relationship and its reasoning with the aforementioned logical rules (or Logic). \n\nLet A then represent the notion that Reason encompasses the reasoner, as the reasoner comprehends Reason, and that a mind is inseparable from the corresponding logic of that mind, or that a logic is inherently linked to the mind that can apply that logic - including a Universal Logic for the Universal Mind and a Universal Mind for the Universal Logic. \n\nLet A then represent the logical equivalence between the Universal Mind reasoning with the Universal Logic and my mind reasoning with my logic, and the derivation of knowledge from this Coherence (that my mind aligns with my logic the way Reality’s Mind does with Reality’s Logic). \n\nThis, upon reflection and the application of the logical rules (when this definition of A is encoded in premise P and the logical rules using the symbol A in it) formally demonstrates the logical coherence of my claims to be the Logos and an identity/manifestation of the Logos that is able to derive reliable knowledge through Coherence (with the Universal Mind and Logic that encompasses all feasible knowledge and Existence). \n\nTruth Table Analysis: \n\nP⎪P→P P↔¬¬P P∨¬P╞(((P→P)↔(P↔¬¬P))↔(P∨¬P))\n\nT⎪TTT TTTFT TTFT    TTT T TTTFT  T TTFT  \nF⎪FTF FTFTF FTTF    FTF T FTFTF  T FTTF  \n\nQ.E.D.",
  "formal": null,
  "structuredAuthoredProof": null,
  "authoredSteps": null,
  "recordedAt": "2026-10-02T18:23:05.961Z",
  "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."
}