Part VII: Categorical Ethics & the Kantian Bridge

Part Overview

Sector S_P (Practical), Part 1 of 2. What is good? Dignity is meta-ethical foundation—Kant’s categorical imperative becomes theorem, not postulate. The no-conflict theorem: genuine duties never contradict. Trolley problems solved; fairness protocols derived; moral ambiguity is monodromy. Four ethical tests emerge. Virtue ethics complements deontology: character as fixed point, flourishing as global section. Applied ethics brings principles to bioethics, environment, and AI. The 2nd Edition adds the CI as j-closed fixed point (three-stage proof programme K/S/CI), the Kant-τ Correspondence (τ fills Kant’s “unspoken socket”—the diagrammatic bridge he left empty), the commitment register as fourth mode of reason, and the earned vs. unearned ethics framework. Part VII undergoes the deepest transformation among the retained Parts: from a survey of categorical ethics to a formal proof programme.

Chapters

• Chapter 76: Dignity as Meta-Ethical Foundation
• Chapter 77: The Categorical Imperative as Sheaf Condition
• Chapter 78: The No-Conflict Theorem
• Chapter 79: The Trolley Problem Solved
• Chapter 80: Fairness-as-Action Protocols
• Chapter 81: Monodromy and Moral Ambiguity
• Chapter 82: The Four Ethical Tests
• Chapter 83: Thermodynamic Ethics
• Chapter 84: Animal Dignity
• Chapter 85: Future Generations
• Chapter 86: Virtue Ethics: Character as Fixed Point
• Chapter 87: Applied Ethics
• Chapter 88: The CI as j-Closed Fixed Point
• Chapter 89: The CI Proof Programme: Three Stages
• Chapter 90: The Commitment Register
• Chapter 91: The Kant-τ Correspondence
• Chapter 92: Earned and Unearned Ethics
• Chapter 93: The Ethics Synthesis