{"slug":"hunter-burden-presupposition","identifier":"hunter-burden-presupposition","title":"Burden and Presupposition by Maclain Hunter","author":"Maclain Hunter","sourceSha256":"85054e2b0b77fcf202b6be4750220b0dd7f50cceb76b7b068103cc0590c22f9c","sourceKind":"authored-foundational-record","recordedAt":"2026-10-03T01:33:22.567Z","recordedAtMeaning":"Database registration time, not a claim of original handwritten authorship.","originalAuthoredAt":null,"formalizedAt":"2026-10-03T10:37:05.082Z","checkedAt":"2026-10-03T10:37:40.789Z","status":"verified","axiomFree":true,"axioms":[],"theoremNames":["HunterAuthored.inference_1"],"units":[{"id":"inference_1","sourceStatement":"{P, P <-> Q, Q <-> R, R <-> S} |= (P & Q) -> (R & S)","sourceOffset":4355,"scope":"Exact source sequent under finite two-valued propositional semantics. Source proposition meanings and Logic/Logos/God Ground are preserved separately; this checks the inference, not unencoded prose.","variables":["P","Q","R","S"],"premises":["P","P <-> Q","Q <-> R","R <-> S"],"conclusion":"(P & Q) -> (R & S)","status":"candidate","leanStatement":"theorem inference_1 (v0 v1 v2 v3 : Bool) :\n    ((!(((v0 && (v0 == v1)) && (v1 == v2)) && (v2 == v3))) || ((!(v0 && v1)) || (v2 && v3))) = true := by\n  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide\n#print axioms inference_1\n","kernelStatus":"verified","axioms":[],"axiomFree":true,"reportedTheorem":"HunterAuthored.inference_1"}],"files":{"source.json":{"sha256":"35634cd6a97018ee05d45a5165de32f70c2012b5cd122e675edafd7e9c52f36a","bytes":7347},"Proof.lean":{"sha256":"d741d3371d27044d79a5c2a6b9ede72986be1616eeb2a27fa380e77a54d2fc74","bytes":531},"lean-check.txt":{"sha256":"283a8aa40f54008e4bfc528069537344fae9f76a8d2f62b37f48d942b98ba62c","bytes":115}},"boundary":"Lean establishes the listed formal statements and dependencies. The exact authored source, Ground, known premise meanings, application validation and empirical evidence remain separately typed. 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The exact authored source, Ground, known premise meanings, application validation and empirical evidence remain separately typed. 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