VI. Axioms or Common Principles

Chapters in this book

1. Frontmatter i
2. Contents vii
3. Acknowledgments xi
4. Abbreviations xiii
5. Introduction 1
6. I. The Motivation for the Theory of Demonstration 7
7. II. The Approach to the Principles 21
8. III. The Kinds of Principles 36
9. IV. The Subject Genus 50
10. V. The Subordinate Sciences 64
11. VI. Axioms or Common Principles 68
12. VII. Definitions, I: The Per Se 80
13. VIII. Scientific Essences 103
14. IX. Definitions, II: Form and Content 111
15. X. Existence Claims 122
16. XI. Aristotle’s Principles and Greek Mathematics 133
17. XII. Aristotle’s Demonstrations and Euclid’s Elements 144
18. XIII. The Varieties of Demonstration, I: Universal Subject-Attribute Demonstrations 164
19. XIV. The Varieties of Demonstration, II: Application Arguments 177
20. XV. The Varieties of Demonstration, III: Demonstrations of Existence 188
21. XVI. Demonstration of Essence: Another Form of Scientific Proof? 198
22. XVII. Scientific Explanation 209
23. XVIII. Our Knowledge of the Principles 235
24. Notes 273
25. Bibliography 309
26. Index Locorum 321
27. General Index 335