{
  "author": "Maclain Hunter",
  "title": "Tautological Sieve",
  "identifier": "archived-q1065-170b83f87aff",
  "sourceKind": "archived-authored-source",
  "content": "{\n  \"name\": \"Tautological Sieve\",\n  \"formal\": \"{P ↔ Q, Q ↔ R} |= R → (Q ↔ P)\",\n  \"premises\": {\n    \"P\": \"ψ ↔ [∀y □φ(x)] |= [□∀x φ(y)] → ψ\",\n    \"Q\": \"∀φ → ψ |= ψ ↔ □φ\",\n    \"R\": \"φ ≡ Logos → ψ\",\n    \"S\": \"ψ ≡ empirical location of φ trivial\"\n  },\n  \"instantiation\": {\n    \"x\": \"God (4P:Q)\",\n    \"y\": \"Logic (4P:P, Logos)\",\n    \"phi\": \"fully coherent and existent logical constant\",\n    \"psi\": \"empirical location trivial (ubiquity)\"\n  },\n  \"proof\": \"By biconditional transitivity: P ↔ Q ↔ R, therefore R → (Q ↔ P)\",\n  \"significance\": [\n    \"Logos is trivially present across Reality\",\n    \"Supports God's ubiquity when properly conceived\",\n    \"Grounds physics/empiricism in coherent Logic\",\n    \"Step 0 pre-filter for Seven Cycle validation\"\n  ],\n  \"identityAxioms\": [\n    \"A = A\",\n    \"P |= P\",\n    \"x == x\"\n  ]\n}",
  "formal": null,
  "structuredAuthoredProof": null,
  "authoredSteps": null,
  "recordedAt": null,
  "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."
}