1. On Positing Mathematical Objects

Chapters in this book

1. I-VIII I
2. Introduction: Frege on the Foundations of Arithmetic and Geometry 1
3. Part I: Logic and Philosophy of Mathematics
4. 1. On Positing Mathematical Objects 45
5. 2. Frege versus Cantor and Dedekind: On the Concept of Number 70
6. 3. On Frege's Introduction of Cardinal Numbers as Logical Objects 114
7. 4. Nominalism and the Contingency of Abstract Objects 174
8. 5. Definition by Induction in Frege's Grundgesetze der Arithmetik 200
9. 6. Whence the Contradiction? 234
10. 7. Reply to Boolos 253
11. 8. On the Structure of Frege's System of Logic 261
12. 9. The Horizontal 280
13. 10. Frege and Natural Deduction 301
14. Part II: Epistemology
15. 11. Frege's Anti-Psychologism 307
16. 12. Frege's ‘Epistemology in Disguise’ 330
17. 13. Frege on Knowing the Third Realm 347
18. Part III: Philosophy of Language
19. 14. Fregean Theories of Truth and Meaning 371
20. 15. Frege's Treatment of Indirect Reference 410
21. 16. Singular Terms (1) 438
22. Notes on the Contributors 459
23. Index of Subjects 461
24. Index of Names 464