Logos Entails Coherent Morality by Maclain Hunter

Authored by Maclain Hunter · first-party-authored · authored-foundational-record

Stored 4P source diagnostic: unresolved · finding unverified_concern · admission admitted_provisionally. This intake result is separate from the theorem checks of the exact propositional sequent.

Logos Entails Coherent Morality by Maclain Hunter: Premises: P: Logic being God inherently entails Logic as the Moral Authority and Agathon (the Greatest Goodness), where Coherence is ultimately good and incoherence is evil. If we assume a different way, it leads to logical and moral incoherence. It is immoral and incoherent to posit that Logic (Logos), God (Theos), and Agathon (Goodness) are incoherent. Q: God: the Moral Authority and Origin of the Universe; the Ruler of Creation; the “Arche” or First Cause in Philosophy and Theology. R: Logic: The Logos or Logical Structure of Reality; the Method of Reasoning encompassing all methods of reasoning and all concepts; the Source of Order and Knowledge; Proper Reasoning and Order (in any form or universally). S: Logical Contradiction (~R) and immorality (~Q). Logical Proof: {P, P <-> Q, Q <-> R, R <-> ~S, ~S} |= (P & Q) & (R & ~S) Conclusion: {P, Q, R, & ~S}: It is illogical and immoral to disconnect Logic, Agathon, and God, and to have views on either or both that do not align Reason and what is reasonable with God (the Moral Authority) and what is moral (godly). This assertion (or set of assertions), encompassed by the premises P, Q, and R, is logically equivalent to the negation of incoherence and immorality, affirming the necessary Truth of the premises {P, Q, R} and the necessity of the negation of S (for the maintenance of Coherence/Logic or P, Q, and R). Truth Table Analysis: valid ↓ ↓ ↓ ↓ ↓ ↓ PQRS⎪P P↔Q Q↔R R↔¬S ¬S╞(P&Q)&(R&¬S) ―――――――――――――――――――――――――――――――――――― TTTT⎪T TTT TTT TFFT FT TTT F TFFT TTTF⎪T TTT TTT TTTF TF TTT T TTTF TTFT⎪T TTT TFF FTFT FT TTT F FFFT TTFF⎪T TTT TFF FFTF TF TTT F FFTF TFTT⎪T TFF FFT TFFT FT TFF F TFFT TFTF⎪T TFF FFT TTTF TF TFF F TTTF TFFT⎪T TFF FTF FTFT FT TFF F FFFT TFFF⎪T TFF FTF FFTF TF TFF F FFTF FTTT⎪F FFT TTT TFFT FT FFT F TFFT FTTF⎪F FFT TTT TTTF TF FFT F TTTF FTFT⎪F FFT TFF FTFT FT FFT F FFFT FTFF⎪F FFT TFF FFTF TF FFT F FFTF FFTT⎪F FTF FFT TFFT FT FFF F TFFT FFTF⎪F FTF FFT TTTF TF FFF F TTTF FFFT⎪F FTF FTF FTFT FT FFF F FFFT FFFF⎪F FTF FTF FFTF TF FFF F FFTF Proof For Contradiction: {~P, ~P <-> ~Q, ~Q <-> ~R, ~R <-> S, S} |= ~(P & Q) & (~R & S) Conclusion: ~{P, Q, R} & S: Logical contradiction and immorality succeed with the failure of God and Logic, and with any incoherence in the Origin of the Universe (God - Logic). Premises P, Q, and R being false negates Reason and the Origin of Logical Existence. This is untenable thereby affirming the previous proof positive. To accept the proof for contradiction as true over the proof amounts to a rejection of Agathon and Reason (Logic - God) - which we can, per this proof, understand to be not only an illogical OR immoral rejection but BOTH. Truth Table Analysis: valid ↓ ↓ ↓ ↓ ↓ ↓ PQRS⎪¬P ¬P↔¬Q ¬Q↔¬R ¬R↔S S╞¬(P&Q)&(¬R&S) ――――――――――――――――――――――――――――――――――――――――― TTTT⎪FT FTTFT FTTFT FTFT T F TTT F FTFT TTTF⎪FT FTTFT FTTFT FTTF F F TTT F FTFF TTFT⎪FT FTTFT FTFTF TFTT T F TTT F TFTT TTFF⎪FT FTTFT FTFTF TFFF F F TTT F TFFF TFTT⎪FT FTFTF TFFFT FTFT T T TFF F FTFT TFTF⎪FT FTFTF TFFFT FTTF F T TFF F FTFF TFFT⎪FT FTFTF TFTTF TFTT T T TFF T TFTT TFFF⎪FT FTFTF TFTTF TFFF F T TFF F TFFF FTTT⎪TF TFFFT FTTFT FTFT T T FFT F FTFT FTTF⎪TF TFFFT FTTFT FTTF F T FFT F FTFF FTFT⎪TF TFFFT FTFTF TFTT T T FFT T TFTT FTFF⎪TF TFFFT FTFTF TFFF F T FFT F TFFF FFTT⎪TF TFTTF TFFFT FTFT T T FFF F FTFT FFTF⎪TF TFTTF TFFFT FTTF F T FFF F FTFF FFFT⎪TF TFTTF TFTTF TFTT T T FFF T TFTT FFFF⎪TF TFTTF TFTTF TFFF F T FFF F TFFF Q.E.D.

Lean 4 verification and timestamps

The machine formalization date is separate from the original authored work. See the verification record for exact checked scope and any unresolved parts.

Logic-centered continuity

This authored proof is connected to Logic, Logos, God, and the self-evident Ground of Reality, and to the distinct systems 4P Engine, MCB Core, 4P-MCB, and the source-first Canon. Formal proof, empirical evidence, and system-generated records remain separately typed.