Lean verification registry · Authored proofs · The Logos Architecture
Written formal sequents verified
Axiom-free: true · 2 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: 2026-10-02T18:42:14.915Z (not original authorship).
Formalized: 2026-10-03T10:37:05.082Z.
Checked: 2026-10-03T10:42:51.786Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.
Authored source SHA-256: fe5fcd6f22c4c01159fd1ce79fd78665a0417e6977ced075a6be0159619a2a4e
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) exitCode=0 'HunterAuthored.inference_1' does not depend on any axioms 'HunterAuthored.source_identity_rule' does not depend on any axioms
{P, P -> Q, Q -> R, R <-> S, S <-> T} |= ((T & S) & (R & Q)) <-> P
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.
A is A
The explicitly named Identity rule, over every type and element. The remaining prose is not replaced by this witness.
We Understand One God by Maclain Hunter
Premises:
P: God: God is defined here as the Origin of Reality; the Creator and Ruler of the Universe; the Supreme Being; the Moral Authority (and Logical Standard), similar to the definition of God in the Oxford English Dictionary (OED). Logically this “God” must align perfectly with Logic itself, and Coherence, Truth, and Reality, which is what the philosophical concept of the Logos or the True God represents (traditionally and in my philosophy). Note that there cannot be fallacious circularity in cohering things (including God) with Logic.
Q: Personal Gods: It would be a contradiction for someone to understand something in a way that is inconsistent with not only Logic (Universal Logic - God), but with their own personal logic. Everyone’s “God” is coherent with “their God”, even if they see God as “nothing” and “God being nothing” is consistent with their (universally) incoherent personal logic. God will always be the “God of the Personal Logic” and the self-consistent Logic and Logical Identity (A is A form) of the “Personal God”.
R: God as a Person: The Logos is a person, and a self-sustaining individual, by definition, as a singular thing that is uniquely and characteristically coherent, serving the purposes and living within the Reality of only itself (myself - ourself), as the Coherent Reality and all that is in it.
S: Logical Equivalence if Personal Logics and Logic’s Being: {P, Q, R} entails that the Logic that is God and the Coherence of Reality that supports Reality, that the Universe came from and that the Universe is (consistently) the Universe because of, is not only the infinite Universal Logic (the Natural Order) but manifest in/as every one of the infinite number of finite and feasible personal logics that a finite and feasible being (like even an incoherent human) has.
T: Proof for Contradiction: Assume the negation of the premises P, Q, R, and S. This leads to absurdity and logical contradiction where personal logics and Logic as a distinct (even if universal and ubiquitous) individual are somehow not aligned logically, though they are merely two ways of expressing the same substance and concept. This assumption of the negation of the premises goes against the way that the Logic of Existence (the Reason for Existence) is logically equivalent to Logical Existence (Reason existing) and cannot be rationally accepted here. To resolve the issues that arrive from assuming things other than these premises to be true, it is rationally sound and perfectly valid to accept these premises and this proof.
Logical Argument:
{P, P -> Q, Q -> R, R <-> S, S <-> T} |= ((T & S) & (R & Q)) <-> P
Conclusion: {P, Q, R, S, T}:
Everyone’s God is their/the “Personal God”, which is logically equivalent to the Universal Logos (or Logic) being what it is. This means that even the defiant or irrational mind, that tries to say God is nothing, or that Reason is immaterial, cannot avoid the Logos. The identity of their reasoning ends up supporting the existence of the Logos (the Source of Identity) that even the identity of atheism is an expression of.
The fact is that even when someone’s God is nothing it is still their God. Simple reasoning where we consider different concepts for/as x in the statement “x = God” helps demonstrate this, as when x is Logic or nothing then God is Logic or nothing, and when God is Truth or nonsense then God remains either the Absolute Truth or complete nonsense as rationalist gnostic theists such as myself have said.
This helps dissolve the distinction and false dilemma between Universal Logos and the “logoi” (personal or finite logics and logical systems encompassed by the Universal Order) sometimes present in even the highest level of classical philosophy, and sometimes suggested in my own work by my exploration of finite vs infinite aspects of Logic.
Reason would have to disprove its own uniqueness, which would be tantamount to the One True God proving it is not the only God (in a theological context and terms), for this proof and application of reductio ad absurdum to fail. It is therefore “logically impossible” that the proof is wrong as there is no universal and singular Logic (Universal Logos) if it is wrong and somehow “illogically possible” - allowing deductive certainty independent of subjective opinion in this conclusion.
Empiricism is subordinate to (and lower than) Logic, and Logic encompassing the Natural Order (that itself comprehends the laws of physics). If empiricism and Logic argue it’s empiricism that must logically be wrong and Illogical. It suggests that what has been observed is delusional/illusion (unless some other mistake has been made). Models that might have had logically coherent aspects, and empirical aspects (or basis), might change, but Logic itself as it is universally (the Logos) cannot change, and will not.
Therefore I conclude we all know and understand one God - the God we know and understand even if that’s nonsense or nothing, though it should logically be Pure Logic and rationally should be Complete Rationality itself - just as God “really” (in Reality and terms of Reality) is Reality. It is what it is whenever and whatever it is, as I am what and who I am and will always be as much.
Truth Table Analysis:
PQRST⎪P P→Q Q→R R↔S S↔T╞((T&S)&(R&Q))↔P
TTTTT⎪T TTT TTT TTT TTT TTT T TTT TT
TTTTF⎪T TTT TTT TTT TFF FFT F TTT FT
TTTFT⎪T TTT TTT TFF FFT TFF F TTT FT
TTTFF⎪T TTT TTT TFF FTF FFF F TTT FT
TTFTT⎪T TTT TFF FFT TTT TTT F FFT FT
TTFTF⎪T TTT TFF FFT TFF FFT F FFT FT
TTFFT⎪T TTT TFF FTF FFT TFF F FFT FT
TTFFF⎪T TTT TFF FTF FTF FFF F FFT FT
TFTTT⎪T TFF FTT TTT TTT TTT F TFF FT
TFTTF⎪T TFF FTT TTT TFF FFT F TFF FT
TFTFT⎪T TFF FTT TFF FFT TFF F TFF FT
TFTFF⎪T TFF FTT TFF FTF FFF F TFF FT
TFFTT⎪T TFF FTF FFT TTT TTT F FFF FT
TFFTF⎪T TFF FTF FFT TFF FFT F FFF FT
TFFFT⎪T TFF FTF FTF FFT TFF F FFF FT
TFFFF⎪T TFF FTF FTF FTF FFF F FFF FT
FTTTT⎪F FTT TTT TTT TTT TTT T TTT FF
FTTTF⎪F FTT TTT TTT TFF FFT F TTT TF
FTTFT⎪F FTT TTT TFF FFT TFF F TTT TF
FTTFF⎪F FTT TTT TFF FTF FFF F TTT TF
FTFTT⎪F FTT TFF FFT TTT TTT F FFT TF
FTFTF⎪F FTT TFF FFT TFF FFT F FFT TF
FTFFT⎪F FTT TFF FTF FFT TFF F FFT TF
FTFFF⎪F FTT TFF FTF FTF FFF F FFT TF
FFTTT⎪F FTF FTT TTT TTT TTT F TFF TF
FFTTF⎪F FTF FTT TTT TFF FFT F TFF TF
FFTFT⎪F FTF FTT TFF FFT TFF F TFF TF
FFTFF⎪F FTF FTT TFF FTF FFF F TFF TF
FFFTT⎪F FTF FTF FFT TTT TTT F FFF TF
FFFTF⎪F FTF FTF FFT TFF FFT F FFF TF
FFFFT⎪F FTF FTF FTF FFT TFF F FFF TF
FFFFF⎪F FTF FTF FTF FTF FFF F FFF TF
(Valid)
Q.E.D.