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

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 K_logic = -log ρ_logic as the operator-algebraic modular Hamiltonian on H_propositional ⊗ H_predicate ⊗ H_modal ⊗ H_ontology ⊗ H_epistemology. K_logic inherits from K_QG 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; K_logic 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%; K_logic 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: P_avg=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).