The One Law by Maclain Hunter

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

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

The One Law by Maclain Hunter:   Premises:   P: There is only ONE Universal Law - the Logos. It is totally coherent and amounts to a rule that would read (something like), "be reasonable and align with the A is A form of the same sort of Truth, Logic, and Reality that are actually Truth, Logic, and Reality”.   Q: P fits with Reality being Reality and with coherent theory and empirical methods being what they are, as well as "classical logic" of the Aristotelean sort, if we view the three traditional rules of Logic as three sides one "Law of Reason" that are all coherent and mutually supporting and getting at that same Law (that "it is what it is and isn't what it isn’t”). Logic is simple to apply in the sense that it is all about determining what aligns with Logic and its self-consistent Law (or P) but difficult for many humans to apply consistently across contexts because of things like fear, bias, emotion, conflict of interest, etc.   R: Assume ~P and ~Q. That leads to logical contradiction where Logic is not coherent with and as Rational Law (in the coherent, singular, universal, and broadest sense) and/or where Reality is not Reality with logical consistency and coherence - an untenable position logically speaking. It would also mean that I do not know how to apply Logic and explain the process even while I am doing exactly that and explaining the pattern matching process - against the backdrop and Universal Standard of self-consistent Universal Reason (Pure Logic).  Formal Argument (Proof):   {P, P <-> Q, Q <-> R} |= (P & Q) <-> R  Conclusion: (P & Q) & R:  The sum of the premises is true, as each premise is true and/since the assumption of the negation of the premises leads to logical contradiction(s), and to ideas inconsistent not only with human reasoning but Universal Order (Logos - Pure Logic) - the logical consistency inherent in Reality being Reality. Logic, to be fully coherent is and must be ONE (Law/Entity), not many disparate, incoherent, and/or divergent concepts/rules. This is self-evident as the alternatives are inherently less coherent (logically unifying), but this proof also discreetly proves it in a finite, tangible, and formal manner. Logic’s Rule is applied, as it has been here, in a manner where patterns of reasoning are matched against Reasons truthfulness and identity. Reason is always Reason and the Reason that is (genuine) Reason is always true, universally. Claims can be weighed rigorously against this Foundation - through rational systems that align with the Foundation (ie - sciences, mathematics, formal logics, precise use of written language for formal philosophical reasoning). It would be a contradiction for me to be explaining (within a rigorous self-referential proof) not only the three traditional rules but how all logical rules and aspects of Logic are necessary coherent and one if I did not grasp coherent Logic and how to apply it.  Truth Table Analysis: PQR⎪P P↔Q Q↔R╞(P&Q)&R TTT⎪T TTT TTT TTT TT TTF⎪T TTT TFF TTT FF TFT⎪T TFF FFT TFF FT TFF⎪T TFF FTF TFF FF FTT⎪F FFT TTT FFT FT FTF⎪F FFT TFF FFT FF FFT⎪F FTF FFT FFF FT FFF⎪F FTF FTF FFF FF (Valid) 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.