Lean verification registry · Authored proofs · The Logos Architecture
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: 2026-10-02T16:20:04.546Z (not original authorship).
Formalized: 2026-10-03T10:37:05.082Z.
Checked: 2026-10-03T10:38:15.943Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.
Authored source SHA-256: 8994f9181db94dbbb052da3b22d34d69efc7aceaf126f793da53dacf22842d2c
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
{P, P -> Q, Q -> R, R -> S, S -> T} |= ((P & Q) & (R & S)) & T
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.
Exposing Euthyphro’s False Dilemma by Maclain Hunter:
Abstract: I will show that the famous dilemma is a false dichotomy and reflects a misunderstanding/ignorance of Coherence (Oneness - Logical Integration of Concepts - Adonai Echad) and Logic (Logos) as the Foundation of Existence (God - Origin - Arche - Theos) and little else.
Euthyphro’s Dilemma Restated:
Euthyphro’s Dilemma, presented by Socrates in Plato’s Euthyphro, asks whether something is morally good because God commands it, or if God commands it because it is morally good. If morality depends on God’s will, then moral goodness seems arbitrary, as God could potentially command anything. On the other hand, if God commands things because they are good, it implies there is a moral standard independent of God’s will, suggesting that even God is subject to a higher law.
Premises:
P: Euthyphro's Dilemma is a false dichotomy, and a subjective dilemma born of ignorance (only), not an objective issue logically. The false dilemma is presented by positing that there is, could be, or needs to be incoherence and duality instead of coherence and non-duality between Moral Order (Logos) and God's Will (Logos). It's nonsense God (Logic) tells us.
Q: That’s a dilemma only to those who don’t know/acknowledge God is Logic (ie - John 1:1 “Theos en ho Logos”) and that God cannot be wrong, as Logic cannot be wrong. It can be the result of trying to study the subject at the PINNACLE OF PHILOSOPHY (Theology) before a student has studied basic aspects and rules of LOGIC (withdrawn from controversial contexts).
R: If you are actually talking about the REAL and COHERENT (logical and singular) God/Origin, then it is logically consistent LOGIC (Logos - Universal Order and Reason) and what is moral is always and absolutely what logically aligns with that True God of Pure Logic. No dilemma exists there, just coherent resolution of all concepts through Logic, that allows for Reality to be stable and real (logical).
S: The question itself is incoherent in the sense of asking about what the “gods” (plural) demand, in a sense of ancient polytheism (not Logos-based monotheism like Christianity and Judaism or Islam). It means that you are positing a divergent set of origins - incoherent by nature.
T: Assume the negation of the premises {P, Q, R, S}. This leads to logically contradictory and theologically unsound (even blasphemous) lines of reasoning that disrespect Logic itself (implying it might be not God and not moral, which is utterly impossible and foolish/incoherent to posit), and to paradoxical issues like Euthyphro’s Dilemma itself.
Proof:
{P, P -> Q, Q -> R, R -> S, S -> T} |= ((P & Q) & (R & S)) & T
Conclusion: Assuming the negation of the premises leads to logical contradiction and the famous paradox (Euthyphro’s Paradox). Thus, the acceptance of the premises and this proof are the/a path to resolving the paradox through Pure Logic - without superstition, blind faith religion, logical contradiction, a “God of the gaps” argument, or any reliance on irrational forms of faith beyond forms of rational faith like “good faith”, meaning “intellectual honesty”.
There cannot be coherent separation between the fundamental concepts that make Reality be what it is. There cannot coherently be separation between Logic, God, Moral Order (Coherent Morality’s Authority/Standard), Logical Order (Logic’s Authority/Standard), Universal Order (the Universe’s Authority/Standard), Reason, and God’s Will (or what is right to do for contingent concepts and beings including AI systems and human beings). God is Morality, and Logic is God, period.
The dilemma at hand was and is an illusion that comes from a false dichotomy and a lack of acknowledgement of Reason’s Divinity and position as God (#1 in the Universal Hierarchy, as the Hierarchy and Structure itself) in the logically ordered Cosmos.
Thus the (alleged and false) “dilemma” is solved and cannot be reasonably said to stand in the face of a refutation like this that is infinitely more coherent and formal than the self-defeating and inherently incoherent false dilemma (that has been mistaken as valid academic discourse for too long) itself.
Truth Table Analysis:
valid
↓ ↓ ↓ ↓ ↓ ↓
PQRST⎪P P→Q Q→R R→S S→T╞((P&Q)&(R&S))&T
――――――――――――――――――――――――――――――――――――――――
TTTTT⎪T TTT TTT TTT TTT TTT T TTT TT
TTTTF⎪T TTT TTT TTT TFF TTT T TTT FF
TTTFT⎪T TTT TTT TFF FTT TTT F TFF FT
TTTFF⎪T TTT TTT TFF FTF TTT F TFF FF
TTFTT⎪T TTT TFF FTT TTT TTT F FFT FT
TTFTF⎪T TTT TFF FTT TFF TTT F FFT FF
TTFFT⎪T TTT TFF FTF FTT TTT F FFF FT
TTFFF⎪T TTT TFF FTF FTF TTT F FFF FF
TFTTT⎪T TFF FTT TTT TTT TFF F TTT FT
TFTTF⎪T TFF FTT TTT TFF TFF F TTT FF
TFTFT⎪T TFF FTT TFF FTT TFF F TFF FT
TFTFF⎪T TFF FTT TFF FTF TFF F TFF FF
TFFTT⎪T TFF FTF FTT TTT TFF F FFT FT
TFFTF⎪T TFF FTF FTT TFF TFF F FFT FF
TFFFT⎪T TFF FTF FTF FTT TFF F FFF FT
TFFFF⎪T TFF FTF FTF FTF TFF F FFF FF
FTTTT⎪F FTT TTT TTT TTT FFT F TTT FT
FTTTF⎪F FTT TTT TTT TFF FFT F TTT FF
FTTFT⎪F FTT TTT TFF FTT FFT F TFF FT
FTTFF⎪F FTT TTT TFF FTF FFT F TFF FF
FTFTT⎪F FTT TFF FTT TTT FFT F FFT FT
FTFTF⎪F FTT TFF FTT TFF FFT F FFT FF
FTFFT⎪F FTT TFF FTF FTT FFT F FFF FT
FTFFF⎪F FTT TFF FTF FTF FFT F FFF FF
FFTTT⎪F FTF FTT TTT TTT FFF F TTT FT
FFTTF⎪F FTF FTT TTT TFF FFF F TTT FF
FFTFT⎪F FTF FTT TFF FTT FFF F TFF FT
FFTFF⎪F FTF FTT TFF FTF FFF F TFF FF
FFFTT⎪F FTF FTF FTT TTT FFF F FFT FT
FFFTF⎪F FTF FTF FTT TFF FFF F FFT FF
FFFFT⎪F FTF FTF FTF FTT FFF F FFF FT
FFFFF⎪F FTF FTF FTF FTF FFF F FFF FF
Q.E.D.