{
  "author": "Maclain Hunter",
  "title": "Validation Via Tautological Sieve",
  "identifier": "hunter-validation-tautological-sieve",
  "sourceKind": "authored-foundational-record",
  "content": "Validation Via Tautological Sieve by Maclain Hunter\n\nPremises:\n\nA: The Tautological Sieve (the invariant, self-authenticating architecture of Reality's Logic). Full proof below.\n\nB: Negation of all (including logical necessity and Logos; including Cosmos and Theos).\n\nC: Human consciousness.\n\nD: Coherence (or Godelian ontological G encompassing all that is coherent).\n\nE: Incoherence and/or delusion.\n\nFormal Argument:\n\n{A, A -> ~B, (B & C) -> E, (C & D) -> D} |= (D -> ~(B & E)) & (D -> A)\n\nConclusion: (A & D) <-> ((C -> C) <-> (~B & ~E)): \n\nLogical Coherence (D) provides a filter or sieve (A) determining consistently what can (or cannot) coherently exist. The negation of all realities (B) and the incoherence and/or delusion (E) possible in the human mind or consciousness (C) do not properly align with or negate Logic/Coherence (D) and simply fail the test of A. \n\nQED\n\nFor Background: \n\nTautological Sieve (A):\n\nP: Let x be God and let y be Logic: ψ <-> [∀y □φ(x)] |= [□∀x φ(y)] -> ψ\n\nQ: ∀φ -> ψ |= ψ <-> □φ \n\nR: Let φ represent fully coherent and rationally existent logical constant (Logos)\n\nS: Let ψ represent the empirical location of φ, which is trivial. \n\n{P <-> Q, Q <-> R} |= R -> (Q <-> P) \n\nQED\n\nElaboration On Will: \n\nW: Logos as the Absolute has a will, intent, plan, and way that is fixed to Coherence (or Logos) as a matter of Structure (Logos) - just as my will cannot be divorced from me and would always be coherent if I am the Standard of Coherence (Logos).\n\nX: Logos manifests trivially across spacetime/Reality and in contingencies (which are concepts dependent upon the Logos, which can be necessary or not). Contingency in the sense of dependency on the Logos is ontological contingency, not to be conflated with contingency in the sense of Truth value or logical necessity. \n\nY: Logos as the absolute and necessary Ground manifests in and as all contingent will, and shows it is a false dilemma to ask if there is determination by Logos (or God) or if there is room for free will (Logos manifest having contingent will to match contingent form). \n\nZ: Any choice anyone makes or any will anyone has, coherent or not, as a contingency or the Absolute, is trivially the Logos choosing (or having both absolute and contingent will consistent with Universal Logos).\n\n{W, X, Y, (W & X) -> Z, (X & Y) -> Z} |= Z <-> X",
  "formal": null,
  "structuredAuthoredProof": null,
  "authoredSteps": null,
  "recordedAt": "2026-10-03T01:29:49.848Z",
  "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."
}