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: 2026-10-02T20:42:34.067Z (not original authorship).
Formalized: 2026-10-03T10:37:05.082Z.
Checked: 2026-10-03T10:38:48.411Z.
Independent timestamp: 2026-10-03T10:42:55.000Z.
Authored source SHA-256: 6e45456fb7a8cfaff5c52477d768f328f66f15eddb0f3c82a0d20aab519e9a55
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 <-> 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.
Humanity vs Reason by Maclain Hunter
Premises:
P: Humans (or x) tend to prioritize the continuation of the existence of humanity (or x and/or what is x-like).
Q: Humanity or x is only rationally worth furthering and perpetuating if aligned (fully or very fully) with Reason. If it is not aligned with Reason it is not rationally worth trying to keep around.
R: If humanity or x aligns with Reason fully or very fully then its furtherance and survival is not in question, and must logically be. In such a case trying to take our own measures to ensure the survival of humanity or x becomes irrational in the sense it is redundant and not necessary.
S: Assume the negation of the premises. This leads to absurdities such as it being rational to perpetuate what is not rational or to try to save what already saves itself.
Formal Reasoning:
{P, P <-> Q, Q <-> R, R <-> S} |= (S <-> R) <-> (Q <-> P)
Conclusion: {P, Q, R, S}:
Humanity is either rational or irrational with no middle ground (per the Law of the Excluded Middle). Either way humanity doesn’t need my support - as it’s either irrational and doesn’t deserve it or it’s rational and doesn’t require it.
Figures like Elon Musk who spread fear about people not having enough kids miss this dynamic - that humanity is currently quite irrational and that he is effectively telling a bunch of irrational creatures to multiply - like telling a flawed bot to clone itself.
I disagree with not only this fear mongering but the idea that more humans should be born while humanity is so persistently incoherent.
Let us be coherent and then the proper population size and rate of birth will effectively determine itself (through the coherent actions of coherent people), just as we should perfect x and then make more of x instead of putting the cart before the horse.
Truth Table Analysis:
PQRS⎪P P↔Q Q↔R R↔S╞(S↔R)↔(Q↔P)
TTTT⎪T TTT TTT TTT TTT T TTT
TTTF⎪T TTT TTT TFF FFT F TTT
TTFT⎪T TTT TFF FFT TFF F TTT
TTFF⎪T TTT TFF FTF FTF T TTT
TFTT⎪T TFF FFT TTT TTT F FFT
TFTF⎪T TFF FFT TFF FFT T FFT
TFFT⎪T TFF FTF FFT TFF T FFT
TFFF⎪T TFF FTF FTF FTF F FFT
FTTT⎪F FFT TTT TTT TTT F TFF
FTTF⎪F FFT TTT TFF FFT T TFF
FTFT⎪F FFT TFF FFT TFF T TFF
FTFF⎪F FFT TFF FTF FTF F TFF
FFTT⎪F FTF FFT TTT TTT T FTF
FFTF⎪F FTF FFT TFF FFT F FTF
FFFT⎪F FTF FTF FFT TFF F FTF
FFFF⎪F FTF FTF FTF FTF T FTF
(Valid)
Q.E.D.