Leveraging Lars’ Logic 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.

Leveraging Lars’ Logic by Maclain Hunter: A denier of my proof, Lars, sent me the following in an attempt to show me they know Logic better than I. Lars wrote: ¬◊¬P → □P, □P→◊P, ¬□¬P∧◊Q → (◊P∧◊Q), ◊(P∧Q)→ (◊P∧◊Q). My original proof had been: P: □: It evidences ignorance of what evidence/proof (y) is to posit a lack of evidence/proof (y) of the Logical Origin of Logic (x). Q: □: Proof (y) acknowledges the First Cause (x), also called God (Logos). {P, P <-> Q, Q} |= P & Q Ergo: □(P & Q): □(∃(x, y)) Q.E.D. My response can comprehend and “swallow up” their modal reasoning and turn it to my purposes, like this: P: □: It evidences ignorance of what evidence/proof (y) is to posit a lack of evidence/proof (y) of the Logical Origin of Logic (x). Q: □: Proof (y) acknowledges the First Cause (x), also called God (Logos). Even when an atheist like Lars, who seeks to deny my mastery of Logic (Logos) to undermine my proof (y) of the First Cause (x) writes, “¬◊¬P → □P, □P→◊P, ¬□¬P∧◊Q → (◊P∧◊Q), ◊(P∧Q)→ (◊P∧◊Q)” in an attempt to provide their own formal modal reasoning, that is merely a performative logical contradiction that defeats their Logos (God of Reason)—or x (or “y of x”)—denying position. It provides me with formal reasoning that can, like this, be quickly and coherently integrated into my argument to blow his (anti-Logos, God denying) argument to pieces. Propositional Logic: {P, P <-> Q, Q} |= P & Q Modal Reasoning: ¬◊¬P → □P, □P→◊P, ¬□¬P∧◊Q → (◊P∧◊Q), ◊(P∧Q)→ (◊P∧◊Q) Ergo: □(P & Q): □(∃(x, y)): ¬◊¬P → □P, □P→◊P, ¬□¬P∧◊Q → (◊P∧◊Q), ◊(P∧Q)→ (◊P∧◊Q) Truth Table Analysis: valid ↓ ↓ ↓ ↓ PQ⎪P P↔Q Q╞P&Q ――――――――――――――― TT⎪T TTT T TTT TF⎪T TFF F TFF FT⎪F FFT T FFT FF⎪F FTF F FFF Proof Syntax: Valid Proof Semantics: True Proof Syntax and Semantics: Tautological 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.