What question did this study set out to answer?

This work aims to analyze the operator K_logic within various philosophical frameworks and assess existential risks associated with AI.

May 21, 2026Open Access

ITU Tier 1+ #44: Logic + Philosophy (Kₗogic)

Key Points

This work aims to analyze the operator K_logic within various philosophical frameworks and assess existential risks associated with AI.
Derived metrics from Kripke modal semantics
Analyzed existential risk probabilities from Ord 2020
Defined K_logic using operator-algebraic principles
K_logic modal-structure gain measured at 1.164 nats
Cumulative independent existential risk found to be 18.5% (~1 in 5.4)
AI dominance in existential risk assessed at 10%

Abstract

Tier 1+ Pass-1. 5 paper 44 of 45. ITU-derived logic + philosophy on propositional + predicate + modal + ontology + epistemology. Kripke modal + Ord existential risk + Anthropic alignment. Defines Kₗogic = -log ρₗogic as the operator-algebraic modular Hamiltonian on Hₚropositional ⊗ Hₚredicate ⊗ Hₘodal ⊗ Hₒntology ⊗ Hₑpistemology. Kₗogic inherits from KQG via the CLPW 2023 type II crossed-product specialised to this scale. Numerical results. Kripke 1959/63 modal semantics: 16 possible worlds (4 binary props), Hamming-neighbor accessibility. H (uniform W) = log (16) = 2. 773 nats, H (W'|W) = 1. 609 nats; Kₗogic modal-structure gain = 1. 164 nats. Ord 2020 The Precipice century existential risks: cumulative independent = 18. 5% (~1 in 5. 4) vs Ord headline ~1/6; AI dominant 10%; Kₗogic risk-state = 0. 205 nats. Topics covered. Aristotle Organon 4c BCE + Stoics + Leibniz 1666 + Boole 1854 + Frege 1879 Begriffsschrift + Russell-Whitehead 1910-13 Principia, Wittgenstein 1921 Tractatus + 1953 PI + Vienna Circle 1924-36, Quine 1951 Two Dogmas + 1960 Word and Object + Kuhn 1962 paradigm + Popper falsifiability + Lakatos + Feyerabend, Kripke 1972 Naming and Necessity rigid designators + Putnam 1975 Twin Earth + Kripke RIP 2022. 9. 15, Lewis 1986 Plurality of Worlds modal realism + counterpart + Lewis RIP 2001. 10. 14, Heidegger 1927 Sein und Zeit + Sartre 1943 + Merleau-Ponty 1945 + Camus 1942 + Beauvoir 1949 + Foucault+Derrida+Deleuze, Singer 1975/79 + Nussbaum 2000 capability + Parfit 1984 Reasons and Persons + 2011 On What Matters + Parfit RIP 2017. 1. 1 + MacAskill 2015/22 longtermism, Bostrom 2014 Superintelligence + Russell 2019 Human Compatible + Anthropic Constitutional AI 2022. 12 + OpenAI Charter 2018 + FLI 2023. 3 pause 30K signatories, Ord 2020 The Precipice ~1/6 century risk + AI 10% + pandemic 3% + nuclear 0. 1% + FHI Oxford closed 2024. 4, Dennett RIP 2024. 4. 19 + IIT Tononi vs GNW Dehaene + ARC-COGITATE 2023 + 2023. 12 IIT pseudoscience letter + Chalmers hard problem, Tegmark 2014 Mathematical Universe + Carroll many-worlds + Hossenfelder 2018/22 critique + Smolin + Woit, EA + FTX 2022. 11. 11 SBF 32B->0 + 8B missing + MacAskill 2022. 11. 18 disavowal. 45-vertex polytope #44 top couplings: #43 Meta (0. 95), #33 Lang (0. 92), #23 Math (0. 90), #2 AI (0. 90), #9 FreeWill (0. 90), #35 Law (0. 85). Ten falsifiable predictions: Pₐvg=0. 53, S/M/W=1/4/5: Ord existential risk revised 2030 (0. 65), Logical AI + GPT-5 Mathlib formal 2026 (0. 65), Anthropic AI moral patients formal 2027 (0. 55), AI alignment 'solved' by 2035 (0. 30), IIT/GNW consensus 2030 (0. 40). Pass-2 roadmap: ~2M: Lean modal+epistemic+deontic (700K) + ITU axiom philosophical analysis (300K) + AI alignment + existential risk modeling Bostrom-Ord+Anthropic+OpenAI+MIRI + Pass-3 Kₐlignment Tier 0. 5 seed (1M). Copyright © 2026 Munehiro Terada / Roboken. Licensed under CC-BY-4. 0.

ITU Tier 1+ #44: Logic + Philosophy (Kₗogic)

Key Points

Abstract

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