Lean verification registry · Authored proofs · The Logos Architecture
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: 2026-10-02T14:38:29.980Z (not original authorship).
Formalized: 2026-10-03T10:37:05.082Z.
Checked: 2026-10-03T10:37:52.418Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.
Authored source SHA-256: 0f871732310297d10b6727dab116410d4c4ca4f3fabe821d54b7226800c98123
Lean source · Verification JSON · Exact archived source JSON · Compiler report · Current authored source page · Signed release and verification instructions
Lean (version 4.7.0, commit v4.7.0, Release) Not executed: no complete licensed formal sequent recovered.
{P <-> Q, R <-> Q, P -> S, P <-> ~T, P -> ~U} |= ((((P & Q) & R) & S) & ~T) & ~U
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.
The written sequent alone has a countermodel. No authored wording or unstated premise was changed.
Countermodel to the isolated written sequent: {"P":false,"Q":false,"R":false,"S":false,"T":true,"U":false}
Conceptualization of Logic by Maclain Hunter:
Premises:
P: Logic: The Method of Reasoning encompassing the array of logical truths and feasible knowledge, coherent with and grounded in the eternal Natural Order (Reality’s Logic and Reality being Reality with logical consistency and constancy).
Q: Concept: An idea or thing; an abstract notion; a plan or intention; a conception.
R: Conceptualization: The action or process of forming a concept or idea of something; the realization (of a concept).
S: Particulars: A individual item, as contrasted with a universal quality; a detail.
T: Objection to Reason: An expression or feeling of opposition to Reason as the Rational Foundation of Reasoning and Reality (Logos); a particular reason or reasons for disagreeing with Reason as a universal.
U: Contradiction of Logic: A statement or concept that violates Logic and which conflicts with logical rules and/or itself.
Argument:
{P <-> Q, R <-> Q, P -> S, P <-> ~T, P -> ~U} |= ((((P & Q) & R) & S) & ~T) & ~U
Conclusion: ((((P & Q) & R) & S) & ~T) & ~U:
Logic is a concept and logically equivalent to concepts and their conception/conceptualization (the reasoning into Reality of Reality). Logic as a universal is not a particular in the sense of not being universal, but particulars follow from Logic and are contingent upon Logic logically. Logic is not invalidated by logical contradictions or objections to Reason but sound arguments must remove these concepts and thereby negate them as those concepts were negated in this argument above.