Russell’s Folly · Maclain Hunter

Authored by Maclain Hunter · first-party-authored · authored-foundational-record

Stored 4P source diagnostic: unresolved · finding unverified_concern · admission held_for_format. This intake result is separate from the theorem checks of the exact propositional sequent.

Russell’s Folly by Maclain Hunter: Premises: P = Paradoxes including Russell’s Paradox. Let a secondary encoding for P be: “This statement is false” and the notion of reasoning validly with an incomplete statement/predicate. Let a tertiary encoding for P be: Systems of Logic that fail to place Logic as their singular foundational “Axiom of Axioms” that no other axiom(s) can replace coherently; systems with axioms that restrict (or try to restrict) self-reference and lies as if there need be punishment for liars and invalid self-reference beyond delusion and not coherently knowing oneself. Q = A solution of solutions to (the/all/any) paradox(es) in Coherence. Let a secondary encoding for Q be: “This statement is false, if and only if this statement is misaligned with Universal Order and Logic” and the notion of reasoning validly with a complete statement/predicate. Let a tertiary encoding for Q be: Systems of Logic that cohere when used honestly, and which don’t require additional axioms beyond Reason, since honesty is part of Reason and dishonesty, like unreason, is self-punishing and ignorance inducing (which Reason need not add more punishment and consequence). Θ = Ontological Ground (Logos; Universal Reason and First Cause) Let a secondary encoding for Θ be: the coherent notion of God and Ground a coherent theologian has. Let a tertiary encoding for Θ be: the lack of deception in the Ground of Logic, that Coherence (and matching the Ground) requires in/from the coherent thinker/seeker. Λ = Epistemological Ground (Logos; Universal Logic and Reason as First Principle in Logic and Moral Reason). Let a secondary encoding for Λ be: the coherent notion of Logic and the Source of Rationality a coherent logician has. Let a tertiary encoding for Λ: The Logical Coherence of the valid primary, secondary, and tertiary encodings in this proof, unifying their meaning and Structure: a complete predicate, coherent and grounded in Logos as Theos. Proof: (((∀P -> ∃Q) & (Q <-> (Λ ≡ Θ))) & (∀Q -> ~∃P)) -> (Q & ~P) ⊢ ((Q ≡ Θ) & (Λ ≡ Θ)) -> ~P

Lean 4 verification and timestamps

The machine formalization date is separate from the original authored work. See the verification record for exact checked scope and any unresolved parts.

Logic-centered continuity

This authored proof is connected to Logic, Logos, God, and the self-evident Ground of Reality, and to the distinct systems 4P Engine, MCB Core, 4P-MCB, and the source-first Canon. Formal proof, empirical evidence, and system-generated records remain separately typed.