1. Ontology and Mathematics

Chapters in this book

1. Frontmatter 1
2. Contents 7
3. Preface 9
4. Preface to the Cornell Paperbacks Edition 14
5. Introduction 15
6. PART ONE. Mathematics, Logic, and Ontology
7. 1. Ontology and Mathematics 37
8. 2. A Plea for Substitutional Quantification 63
9. 3. Informal Axiomatization, Formalization, and the Concept of Truth 71
10. PART TWO. Interpretations
11. 4. Infinity and Kant's Conception of the "Possibility of Experience" 95
12. 5. Kant's Philosophy of Arithmetic 110
13. 6. Frege's Theory of Number 150
14. 7. Quine on· the Philosophy of Mathematics 176
15. PART THREE. Sets, Classes, and Truth
16. 8. Sets and Classes 209
17. 9. The Liar Paradox 221
18. 10. What Is the Iterative Conception of Set? 268
19. 11. Sets and Modality 298
20. Bibliography 343
21. Index 359