Book 3 of the Geometric Series · v1.23

Geometric Ethics

The Mathematical Structure of Moral Reasoning

A volume in the Geometric Series by Andrew H. Bond.

Geometric Ethics — book cover

Contents

  1. Table of Figures
  2. Preface
  3. Core Objects at a Glance
  4. Part I: The Problem
  5. Chapter 1: Introduction — Why Geometry?
  6. Chapter 2: The Failure of Scalar Ethics
  7. Chapter 3: Historical Precursors — Geometry Before Geometry
  8. Part II: The Framework
  9. Chapter 4: Mathematical Preliminaries
  10. Chapter 5: The Moral Manifold
  11. Chapter 6: The Tensor Hierarchy
  12. Chapter 7: One Case, Five Levels
  13. Chapter 8: Stratification — Boundaries, Thresholds, and Phase Transitions
  14. Part III: Dynamics and Symmetry
  15. Chapter 9: The Origin of the Moral Metric — Discovery, Construction, or Governance?
  16. Chapter 10: Moral Dynamics — Parallel Transport, Holonomy, and the Curvature of Moral Space
  17. Chapter 11: Moral Reasoning as Optimal Search
  18. Chapter 12: Noether-Style Reasoning for Ethics — Symmetry, Invariance, and Harm Accounting
  19. Chapter 13: Quantum Normative Dynamics — Superposition, Measurement, and the Stratified Lagrangian
  20. Part IV: Agents and Collectives
  21. Chapter 14: Collective Moral Agency — Aggregation, Emergence, and the Tensors of Shared Obligation
  22. Chapter 15: From Tensor to Decision — The Philosophy of Moral Contraction
  23. Chapter 16: Moral Uncertainty and the Limits of Geometric Determination
  24. Part V: Implementation
  25. Part V Prelude: Philosophy Engineering
  26. Chapter 17: Empirical Evidence for Geometric Ethics
  27. Chapter 18: Geometric Ethics for Artificial Agents
  28. Chapter 19: The DEME Architecture and ErisML
  29. Part VI: Domain Applications
  30. Chapter 20: Geometric Economics — The Bond Geodesic Equilibrium
  31. Chapter 21: Geometric Clinical Ethics — Triage, Consent, and the Clinical Geodesic
  32. Chapter 22: Geometric Jurisprudence — Algorithmic Justice and Legal Manifolds
  33. Chapter 23: Geometric Finance — Market Microstructure on the Decision Manifold
  34. Chapter 24: Geometric Theology — Religious Reasoning on the Moral Manifold
  35. Chapter 25: Geometric Environmental Ethics — Climate, Commons, and Intergenerational Obligation on the Moral Manifold
  36. Chapter 26: Geometric AI Ethics — The Moral Geometry of Algorithmic Systems
  37. Chapter 27: Geometric Bioethics — Population-Level Ethics on the Decision Manifold
  38. Chapter 28: Geometric Military Ethics — War and Constrained Pathfinding on the Decision Manifold
  39. Part VII: Horizons
  40. Chapter 29: Open Problems
  41. Chapter 30: Conclusion — The Geometry of “Maybe”
  42. Appendix A: Related Work and Differentiation
  43. Appendix B: Reproduction Cookbook
  44. Appendix C: Human-Subjects Research Roadmap
  45. Appendix D: End-to-End Case Studies
  46. Appendix E: Skeptic’s Appendix — Objections, Alternatives, and Falsification
  47. Appendix F: Mathematical Ledger — Status of Formal Claims
  48. Bibliography
  49. Index
← Contents