Lean verification registry · Authored proofs · The Logos Architecture

Russell’s Folly

Source recorded — formalization still required
Axiom-free: not established · 0 checked theorem statements.

Lean establishes the listed formal statements and dependencies. The exact authored source, Ground, known premise meanings, application validation and empirical evidence remain separately typed. No unencoded section is certified by a neighboring theorem.

Original source author: Maclain Hunter. Machine formalization: Replit Agent. No original wording was rewritten.

Source registered: 2026-10-03T01:29:58.718Z (not original authorship).
Formalized: 2026-10-03T10:37:05.082Z.
Checked: 2026-10-03T10:41:26.378Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.

Authored source SHA-256: b837bc4f8dc24b99b5e151897f3968764596d7ebd0860214955824561b2f555b

Lean source · Verification JSON · Exact archived source JSON · Compiler report · Current authored source page · Signed release and verification instructions

Kernel output

Lean (version 4.7.0, commit v4.7.0, Release)
Not executed: no complete licensed formal sequent recovered.

Source-bound formal statements

No complete formal sequent has yet been recovered. This source is recorded, not marked Lean-verified.

Exact authored source in the timestamped release

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