Necessary Logic and Logical Existence

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

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

P: Necessarily. Logic and the “Existence of Logic” are a prerequisite and a requirement of “Logical Existence”. Q: Necessarily things that contradict Logic (the Logical Standard of Reality) canon be logical and (logically or actually) real/Reality. R: Necessarily it contradicts Logic for there to be anything “logical” including any form of Logical Existence (Existence), including the existence of this modal proof, absent Logic itself. S: Necessarily the existence of (all) Existence, and the existence of this modal proof, constitutes (undeniable/irrefutable) proof of the Logic (Logos) at the Foundation of Reality, the “Foundation of Reality” also being a valid and rational definition of the philosophical term “God”, and the “Existence of Logic” (the “Being” and “Reality” or realness and rationality of the God of Reason and Logic known philosophically and in classical theism as “the Logos” or “YHVH” or in Hindu Philosophy as “Rta”). T: Necessarily even the existence of something like “personal denial of the Logos by atheists” or “ignorance of Logic by theists who don’t grasp that Logic is the same as the God they claim to worship” is proof, even if it amounts to “incoherence” (which couldn’t exist if Logic did not), that the God of Reason (Logic - Logos) exists at/as the Standard of Logic and the Foundation of Reality. U: Necessarily it is so that statements affirming the existence of Existence and Logic (God) are/were wrong then there would be no Existence/Logic for them to be “wrong” in/by, thus concern about being wrong that there is Logic is absurd and illogical. V: Necessarily, a well-formed formal logical argument being valid, like that these premises are used in, is itself PROOF POSITIVE of the existence of the Universal Logic (the Logos - the True God of Pure Reason) beyond and despite the validity or invalidity of any particular premises. The premises could all be wrong and the valid formal argument being valid would still be proof that Logos is Logos and that this Logical Origin of Logic (the God of Reason) exists as a logical necessity. Formal Argument: {P, Q, R, S, T, U, V} |= ((P & Q) & (R & S) & T) & U Conclusion: Logic must exist as God (the Logical Origin) or it leads to logical contradiction and incoherence between notions of Logic and notions of the Universal Origin that are untenable. The logical necessity of Logic is evident as is the impossibility of there being any Existence (Logical Existence) absent Logic (God). All Existence is proof of the Logos and if I or anyone were wrong to assert the Logos exists (objectively) then the meaningfulness of that incorrectness would be utterly negated by the corresponding lack of any Logic or Existence.

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.