The Nature of Absolute Knowledge: Epistemic Evolution through Seven Deductive Proofs Grounding Absolute Existence, Co-Existence, and the Conceptual Primes

ABSTRACT This treatise presents a comprehensive, mathematically rigorous deductive framework unifying ontology, epistemology, cognitive dynamics, and ethics across an ascending continuum grounded in the singular necessity of Absolute Existence (ℰA). Building upon the boxed modal necessity of Ex Nihilo Nihil Fit, ◻(𝒮N⟹◻𝒮N) (Version 5.3), and the Cybernetic Tripartite Relational Theory (Version 5.4), Version 5.5 introduces a five-stage methodological and peer-review calibration that elevates the treatise to strict formal, historical, and empirical auditability: Historical-Philosophical Source Audit & Non-Probabilistic Grounding (§1.2–§1.4): We establish a strict methodological boundary between primary historical texts (Sextus Empiricus, Al-Ghazali, Descartes, Hume, Kant, Gettier, Albert) and our synthetic diagnostic reduction of the epistemic crisis into Agrippa's Trilemma and the Principle of Radical Doubt. Using Kolmogorov's probability axioms (Ω≠∅, P(A∧¬A)=0), we prove why foundational ontological grounding requires deductive necessity rather than Bayesian/probabilistic inference (P(𝒮E∣𝒮N) is undefined since Ω(𝒮N)=∅), and calibrate quantum decoherence and Quantum Darwinism against subjective idealism. Completeness and Minimality of the Five Conceptual Primes (§2.5): We formally prove both the Minimality/Independence (Card(𝒫C)≮5) and Completeness/Sufficiency (Card(𝒫C)≯5) of the Conceptual Primes 𝒫C={𝒪,𝒦,𝒫,𝒥,ℳ} as mutually orthogonal cybernetic operators, demonstrating in Table 2.1 how Time (T), Language (L), Causality (Ccaus), and Consciousness (C) emerge as derived composite operators. Dual-Track Modal Bridge & Formal Validity-vs-Soundness Audit (§3.4–§3.6): Proof 2 is anchored between the two foundational ontological dicta regarding the impossibility of absolute nothingness and articulated across a Dual-Track Deductive Bridge—combining an Analytic-Ontological Kripkean proof of ¬◇𝒮N (Track 1) with the 10-step formal derivation in modal systems B and S5 (Track 2)—supported by Table 3.1, which explicitly audits Formal Logical Validity alongside Premise Soundness. Ontological Necessity of Mortality & Three-Level Scientific Calibration (§4.8–§4.9, §5.4): We prove why the Axiom of Finitude (𝒫budget<∞) necessitates regulated subsystem termination and renewal (cellular apoptosis vs. oncogenic malignancy) to prevent divergent contradiction accumulation, integrate physical fine-tuning indicators (Λ~10−120), and establish a Three-Level Methodological Calibration Matrix (Table 4.1) distinguishing (Level 1) literal physical-thermodynamic processes, (Level 2) information-theoretic and cybernetic laws (Shannon entropy, Landauer's principle EerasekBTln2, and Active Inference / Expected Free Energy), and (Level 3) formal structural isomorphisms. Dual-Layer Moral Triangle, The Three Darknesses, Comparative Epistemology, Falsifiability & Four-Tier Output Matrix (§8.5, §9.5–§9.6, §10.6, §13.7–§13.10, §14.2–§14.3): We harmonize the Dual-Layer Moral Triangle (moral) uniting positive ontological pillars ⟨𝒥,ℳ,Telos/ℰA⟩ with protective boundary constraints ⟨Avoid Stealing/Haste,Avoid Bias/Racism,Avoid Lying/Self-Delusion⟩ (Table 8.1); diagnose the Dilemma of the Epistemic Horizon (The Three Darknesses); position the Tripartite Loop against Classical Foundationalism, Coherentism, and Susan Haack's Foundherentism (1993) (Table 9.1); calibrate Proof 7 as a Conditional Normative System-Theoretic Model Theorem; refute Logical Positivism, Postmodern Relativism, and Evolutionary Epistemology; establish Popperian Falsifiability Conditions (Table 13.1); and classify all treatise outputs into a Four-Tier Epistemic Classification Matrix (Table 14.1) paired with a Formal Glossary (Table 14.2).