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