{
  "author": "Maclain Hunter",
  "title": "Definitions, Etymology, and Elaborations by Maclain Hunter",
  "identifier": "hunter-definitions-etymology-elaborations",
  "sourceKind": "authored-foundational-record",
  "content": "Definitions, Etymology, and Elaborations by Maclain Hunter:\n\nPremises: {P, Q, R, S, T, U}:\n\nP: Logic: The Logical Standard and means of reasoning the facts of Reality.\n\nEtymology and Elaboration: The word Logic is derived from the Greek word for Reason, which is “Logos”, solidifying the case that a proper understanding of Logic is the one most fully coherent with Pure Reason (Logos) and that these two English terms, Reason and Logic, are logically equivalent (when we are talking about coherent Logic and/or coherent Reason).\n\nQ: God: The Origin of Existence; the Moral Standard; the Supreme Being; the Logos, or “Universal Logic”, in rational/orthodox traditions coherent with Logic. \n\nEtymology and Elaboration: The word God links back to gothic translation of the Bible and the New Testament’s (Greek) term “Theos” (Ruler, Observer, Overseer) which in that same set of texts is linked directly to “Logos” (Divine Reason; Universal Order, Natural Cause; Proper Order), notably in the Gospel of John chapter 1 verse 1, reinforcing the logical philosophy that understands Logic and Logos (Reason as a universal) as the “Rational Basis” — the God/Origin that actually makes sense, to put it simply.\n\nR: Irrefutable: impossible to reasonably deny or logically disprove; that which aligns with the Logical Standard (Logic) to well to be shown rationally to be misaligned with the Logical Standard of Logic.\n\nEtymology and Elaboration: From Latin “irrefutabilis” which like the English derivative means that something is not possible to rebut. Logically speaking, Logic is irrefutable and so is anything truly and demonstrably (provably) coherent with Logic, like the Foundation of Reality as it actually is (in its real form, sense, and coherent state). \n\nS: Science: The process of gaining knowledge through empirical inquiry using the/a logically valid scientific method; empirical observation; the use of rational experimentation to understand the nature of the real world. \n\nEtymology and Elaboration: The word science comes from the Latin word for knowledge/knowing “scire”, which again shows how we are putting a different name on the same substantive concept or closely related aspects of it (that we can refer to as Logic, Reason, or Rationality among other terms like Truth or Reality), and that on a logical, scientific, realistic, linguistic, mathematical, and philosophical level we have support for seeing these concepts and fields coherently and as mutually supporting, not incoherent and as fields or concepts working against each other (which some might for instance assume or think of God and the sciences).\n\nT: Mathematics: \n\nDefinition: The aspect of reasoning and academics that deals with numbers, arithmetic, algebra, calculus, and calculation (or statistics and probabilities); the abstract science dealing with numbers, quantities, and spaces (which includes geometry). \n\nEtymology and Elaboration: The word “mathematics” comes from the Greek “manthanein” which refers to learning and the method of learning (systematically), which is coherent with Logic and touches on why Math and Logic are substantively identical in certain contexts, though math has a stricter focus that Logic in the broadest sense of the Universal Order. Even still, we could talk about the “Mathematics of the Universe” and would be talking about a more similar concept to what I am speaking about when I speak of Logic (the Highest Order of Logic or “Logos”) being equivalent to God. The etymology and definition of “mathematics” and the success of math in helping us understand the Universe supports rational (mono)theistic notions of the Logos (the God of Reason - the True Origin) being the Ultimate Source of Knowledge and “omniscient” - holding all feasible knowledge while being the method of knowing (that knowledge) in a coherent/unified fashion.\n\nU: Proof: Evidence or argument establishing or helping to establish a fact or the truth of a statement; Law the spoken or written evidence in a trial; the action or process of establishing the truth of a statement; a series of stages in the resolution of a mathematical or philosophical problem. \n\nEtymology and Elaboration: The word “proof” shares the same Latin root “probare” as the word probe, supporting the linguistic and logical connection, and a longstanding/foundational one, between testing/probing, evidence, argument (to include logical proofs), mathematical and philosophical inquiry, and the concept of proof.\n\nLogical Proof (Formal Structure): \n\n{P, P <-> Q, Q <-> R, R <-> S, S <-> T, T <-> U, U -> P} |= ((P & Q) & (R & S) & T) & U\n\nConclusion: ((P & Q) & (R & S) & T) & U: \n\nLogic is inextricably and irrefutably linked to science and math, as well as the True God (Logos - Theos) and the concept of proof. This coherence of Logic and the Foundation of Existence (God) is what allows for coherent sciences and mathematics, and is what allows us to prove anything at all (including logically, theologically, scientifically—including “physically” in physical sciences—and/or mathematically). This also means that Logic and logical coherence is essential to any of these fields of study and cannot be rationally ignored. \n\nTruth Table Analysis:\n\nvalid\n       ↓  ↓   ↓   ↓   ↓   ↓   ↓                 ↓  \nPQRSTU⎪P P↔Q Q↔R R↔S S↔T T↔U U→P╞((P&Q)&(R&S)&T)&U\n―――――――――――――――――――――――――――――――――――――――――――――――――――\nTTTTTT⎪T TTT TTT TTT TTT TTT TTT   TTT T TTT TT TT\nTTTTTF⎪T TTT TTT TTT TTT TFF FTT   TTT T TTT TT FF\nTTTTFT⎪T TTT TTT TTT TFF FFT TTT   TTT T TTT FF TT\nTTTTFF⎪T TTT TTT TTT TFF FTF FTT   TTT T TTT FF FF\nTTTFTT⎪T TTT TTT TFF FFT TTT TTT   TTT F TFF FT FT\nTTTFTF⎪T TTT TTT TFF FFT TFF FTT   TTT F TFF FT FF\nTTTFFT⎪T TTT TTT TFF FTF FFT TTT   TTT F TFF FF FT\nTTTFFF⎪T TTT TTT TFF FTF FTF FTT   TTT F TFF FF FF\nTTFTTT⎪T TTT TFF FFT TTT TTT TTT   TTT F FFT FT FT\nTTFTTF⎪T TTT TFF FFT TTT TFF FTT   TTT F FFT FT FF\nTTFTFT⎪T TTT TFF FFT TFF FFT TTT   TTT F FFT FF FT\nTTFTFF⎪T TTT TFF FFT TFF FTF FTT   TTT F FFT FF FF\nTTFFTT⎪T TTT TFF FTF FFT TTT TTT   TTT F FFF FT FT\nTTFFTF⎪T TTT TFF FTF FFT TFF FTT   TTT F FFF FT FF\nTTFFFT⎪T TTT TFF FTF FTF FFT TTT   TTT F FFF FF FT\nTTFFFF⎪T TTT TFF FTF FTF FTF FTT   TTT F FFF FF FF\nTFTTTT⎪T TFF FFT TTT TTT TTT TTT   TFF F TTT TT FT\nTFTTTF⎪T TFF FFT TTT TTT TFF FTT   TFF F TTT TT FF\nTFTTFT⎪T TFF FFT TTT TFF FFT TTT   TFF F TTT FF FT\nTFTTFF⎪T TFF FFT TTT TFF FTF FTT   TFF F TTT FF FF\nTFTFTT⎪T TFF FFT TFF FFT TTT TTT   TFF F TFF FT FT\nTFTFTF⎪T TFF FFT TFF FFT TFF FTT   TFF F TFF FT FF\nTFTFFT⎪T TFF FFT TFF FTF FFT TTT   TFF F TFF FF FT\nTFTFFF⎪T TFF FFT TFF FTF FTF FTT   TFF F TFF FF FF\nTFFTTT⎪T TFF FTF FFT TTT TTT TTT   TFF F FFT FT FT\nTFFTTF⎪T TFF FTF FFT TTT TFF FTT   TFF F FFT FT FF\nTFFTFT⎪T TFF FTF FFT TFF FFT TTT   TFF F FFT FF FT\nTFFTFF⎪T TFF FTF FFT TFF FTF FTT   TFF F FFT FF FF\nTFFFTT⎪T TFF FTF FTF FFT TTT TTT   TFF F FFF FT FT\nTFFFTF⎪T TFF FTF FTF FFT TFF FTT   TFF F FFF FT FF\nTFFFFT⎪T TFF FTF FTF FTF FFT TTT   TFF F FFF FF FT\nTFFFFF⎪T TFF FTF FTF FTF FTF FTT   TFF F FFF FF FF\nFTTTTT⎪F FFT TTT TTT TTT TTT TFF   FFT F TTT TT FT\nFTTTTF⎪F FFT TTT TTT TTT TFF FTF   FFT F TTT TT FF\nFTTTFT⎪F FFT TTT TTT TFF FFT TFF   FFT F TTT FF FT\nFTTTFF⎪F FFT TTT TTT TFF FTF FTF   FFT F TTT FF FF\nFTTFTT⎪F FFT TTT TFF FFT TTT TFF   FFT F TFF FT FT\nFTTFTF⎪F FFT TTT TFF FFT TFF FTF   FFT F TFF FT FF\nFTTFFT⎪F FFT TTT TFF FTF FFT TFF   FFT F TFF FF FT\nFTTFFF⎪F FFT TTT TFF FTF FTF FTF   FFT F TFF FF FF\nFTFTTT⎪F FFT TFF FFT TTT TTT TFF   FFT F FFT FT FT\nFTFTTF⎪F FFT TFF FFT TTT TFF FTF   FFT F FFT FT FF\nFTFTFT⎪F FFT TFF FFT TFF FFT TFF   FFT F FFT FF FT\nFTFTFF⎪F FFT TFF FFT TFF FTF FTF   FFT F FFT FF FF\nFTFFTT⎪F FFT TFF FTF FFT TTT TFF   FFT F FFF FT FT\nFTFFTF⎪F FFT TFF FTF FFT TFF FTF   FFT F FFF FT FF\nFTFFFT⎪F FFT TFF FTF FTF FFT TFF   FFT F FFF FF FT\nFTFFFF⎪F FFT TFF FTF FTF FTF FTF   FFT F FFF FF FF\nFFTTTT⎪F FTF FFT TTT TTT TTT TFF   FFF F TTT TT FT\nFFTTTF⎪F FTF FFT TTT TTT TFF FTF   FFF F TTT TT FF\nFFTTFT⎪F FTF FFT TTT TFF FFT TFF   FFF F TTT FF FT\nFFTTFF⎪F FTF FFT TTT TFF FTF FTF   FFF F TTT FF FF\nFFTFTT⎪F FTF FFT TFF FFT TTT TFF   FFF F TFF FT FT\nFFTFTF⎪F FTF FFT TFF FFT TFF FTF   FFF F TFF FT FF\nFFTFFT⎪F FTF FFT TFF FTF FFT TFF   FFF F TFF FF FT\nFFTFFF⎪F FTF FFT TFF FTF FTF FTF   FFF F TFF FF FF\nFFFTTT⎪F FTF FTF FFT TTT TTT TFF   FFF F FFT FT FT\nFFFTTF⎪F FTF FTF FFT TTT TFF FTF   FFF F FFT FT FF\nFFFTFT⎪F FTF FTF FFT TFF FFT TFF   FFF F FFT FF FT\nFFFTFF⎪F FTF FTF FFT TFF FTF FTF   FFF F FFT FF FF\nFFFFTT⎪F FTF FTF FTF FFT TTT TFF   FFF F FFF FT FT\nFFFFTF⎪F FTF FTF FTF FFT TFF FTF   FFF F FFF FT FF\nFFFFFT⎪F FTF FTF FTF FTF FFT TFF   FFF F FFF FF FT\nFFFFFF⎪F FTF FTF FTF FTF FTF FTF   FFF F FFF FF FF\n\nQ.E.D.",
  "formal": null,
  "structuredAuthoredProof": null,
  "authoredSteps": null,
  "recordedAt": "2026-10-03T01:34:26.435Z",
  "originalAuthoredAt": null,
  "propositionMeaningBoundary": "Atomic identifiers retain their meanings in the exact source. No arbitrary truth assignment establishes an ontological or empirical premise; the formal witness checks the written inference."
}