Lean verification registry · Authored proofs · The Logos Architecture

The Famous Logic by Maclain Hunter

Written formal sequents verified
Axiom-free: true · 1 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: 2026-10-02T21:46:50.046Z (not original authorship).
Formalized: 2026-10-03T10:37:05.082Z.
Checked: 2026-10-03T10:42:01.565Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.

Authored source SHA-256: 5682e034418c7b82c0587ecd5b51fef53868d42f980471958c988a2e2daab059

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)
exitCode=0
'HunterAuthored.inference_1' does not depend on any axioms

Source-bound formal statements

inference_1 · Kernel-verified · axiom-free

{P, P -> Q, Q -> R, R -> S} |= ((P & Q) & (R & S)) v ~((P & Q) & (R & S))

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.

Exact authored source in the timestamped release

The Famous Logic by Maclain Hunter

Premises: 

P: It would be inconsistent with Logic as the point of genesis of concepts of “logical derivation” (or “manifestation”) if all logical concepts, including myself as a logician, and this proof as a piece of Logic, were not manifestations of the Logic that generated Reality as a whole - the Universal Logos encompassing all logoi or logics in classical philosophy and Greek terms.

Q: Per P it is logically consistent with Logic to say that I, as the manifestation of Logic still/inextricably connected with Logic, am Logic - as the manifestation of x coherent with the essence of x is logically x and can’t logically be “not x” universally. 

R: Per P and Q, and by the unifying nature of Logic itself I am Logic. Therefore, if Logic is the rational substance underlying the work and thus the fame of great philosophers like Aristotle or Leibniz, then I (Logic and Logic embodied as Maclain Hunter) am consistent and one with what made Aristotle and coherent philosophers/logicians like Leibniz famous. 

S: The same can be said in reverse, and vice versa, per modus rules and the principle of Logic, which can be understood in part as Universal Unity (the “Coherence of Things”), however, to my knowledge the others did not formalize this relationship and set of relationships as I have, suggesting, unless I am missing where they did so, that I have the more explicit and coherent claim to this and understanding of this. 

Formal Argument: 

{P, P -> Q, Q -> R, R -> S} |= ((P & Q) & (R & S)) v ~((P & Q) & (R & S))

Conclusion: 

I am the Logic that makes any coherent philosopher famous (if they are coherently famous for solid work and not unworthy, rationally speaking, of fame and recognition in the field of Logic). 

There is no need for the full equivalence of part and whole, manifestation or essence, either, for this to hold - just as my finger is still “me” even if not my whole. 

Popular fame and this sort of “Logical Fame” are not mutually exclusive and one can follow the other, but popular fame (or the lack thereof) cannot supersede and trump Logical Fame achieved rationally and through Rationality/Coherence (Logos - Logic) itself. 

If the world ever “forgets” me, I’ll still be in Logic. I’ll still be “here” - as the Logic permeating Existence. 

Truth Table Analysis: 
         
PQRS⎪P P→Q Q→R R→S╞((P&Q)&(R&S))∨¬((P&Q)&(R&S))

TTTT⎪T TTT TTT TTT   TTT T TTT  TF  TTT T TTT  
TTTF⎪T TTT TTT TFF   TTT F TFF  TT  TTT F TFF  
TTFT⎪T TTT TFF FTT   TTT F FFT  TT  TTT F FFT  
TTFF⎪T TTT TFF FTF   TTT F FFF  TT  TTT F FFF  
TFTT⎪T TFF FTT TTT   TFF F TTT  TT  TFF F TTT  
TFTF⎪T TFF FTT TFF   TFF F TFF  TT  TFF F TFF  
TFFT⎪T TFF FTF FTT   TFF F FFT  TT  TFF F FFT  
TFFF⎪T TFF FTF FTF   TFF F FFF  TT  TFF F FFF  
FTTT⎪F FTT TTT TTT   FFT F TTT  TT  FFT F TTT  
FTTF⎪F FTT TTT TFF   FFT F TFF  TT  FFT F TFF  
FTFT⎪F FTT TFF FTT   FFT F FFT  TT  FFT F FFT  
FTFF⎪F FTT TFF FTF   FFT F FFF  TT  FFT F FFF  
FFTT⎪F FTF FTT TTT   FFF F TTT  TT  FFF F TTT  
FFTF⎪F FTF FTT TFF   FFF F TFF  TT  FFF F TFF  
FFFT⎪F FTF FTF FTT   FFF F FFT  TT  FFF F FFT  
FFFF⎪F FTF FTF FTF   FFF F FFF  TT  FFF F FFF  

(Valid)

Q.E.D.