The Road Not Taken, On Husserl's Philosophy of Logic and Mathematics

by Claire Ortiz Hill and Jairo José da Silva

London: College Publications, April 30, 2013

 

TABLE OF CONTENTS

 

Introduction XIII

Acknowledgments XV

 

1. On Husserl's Mathematical Apprenticeship 1

Claire Ortiz Hill

 

2. Husserl on Geometry and Spatial Representation 31

Jairo José da Silva

 

3. Beyond Leibniz, Husserl's Vindication of Symbolic Mathematics 61

Jairo José da Silva

 

4. One Dogma of Empiricism 81

Claire Ortiz Hill

 

5. Husserl on Axiomatization and Arithmetic 93

Claire Ortiz Hill

 

6. Husserl and Hilbert on Completeness and Imaginary Elements 115

Jairo José da Silva

 

7. The Many Senses of Completeness 137

Jairo José da Silva

 

8. Frege's Letters 151

Claire Ortiz Hill

 

9. Reference and Paradox 171

Claire Ortiz Hill

 

10. Tackling Three of Frege's Problems: Husserl on Sets and Manifolds 195

Claire Ortiz Hill

 

11. On Fundamental Differences between Dependent and Independent Meanings 219

Claire Ortiz Hill

 

12. Incomplete Symbols, Dependent Meanings, and Paradox 241

Claire Ortiz Hill

 

13. Husserl's Phenomenology and Weyl's Predicativism 265

Jairo José da Silva

 

14. Husserl on the Principle of Bivalence 285

Jairo José da Silva

 

15. Cantor's Paradise, Metaphysics and Husserlian Logic 299

Claire Ortiz Hill

 

16. Gödel and Transcendental Phenomenology 325

Jairo José da Silva

 

17. Mathematics and the Crisis of Science 345

Jairo José da Silva

 

Appendix I

 

LETTERS PERTAINING TO HUSSERL FROM CANTOR'S LETTER BOOK III NIEDERSÄCHSISCHE STAATS- UND UNIVERSITÄTSBIBLIOTHEK, ABTEILUNG HANDSCHRIFTEN UND SELTENE DRÜCKE, UNIVERSITY OF GÖTTINGEN

Translated by Dr. Ruth Ellen Burke

 

Letter 238 p. 367

Letter 240 p. 368

Letter 249 p. 370

Letter 250 p. 370

Letter 253 p. 371

Letter 262 p. 372

Letter 264 p. 374

Letter 277 p. 375

Letter 291 p. 376

Appendix II

 

DOCUMENTS CONCERNING HUSSERL FROM THE NIEDERSÄCHSISCHE STAATS- UND UNIVERSITÄTSBIBLIOTHEK, ABTEILUNG HANDSCHRIFTEN UND SELTENE DRÜCKE AT THE UNIVERSITY OF GÖTTINGEN AND THE GEHEIMES STAATSARCHIV PREUSSISCHER KULTURBESITZ IN BERLIN

Translated by Dr. Ruth Ellen Burke

 

Letter from H. E. Müller, May 29, 1900 p. 379

Letter from Prof. Baumann, May 29, 1900 p. 381

Letter from Dr. Höpfner, August 30, 1900 p. 381

Letter from W. Fleischmann, May 12, 1905 p. 383

Letter from the Göttingen Philosophy Faculty, May 22, 1905 p. 383

Draft of David Hilbert's Separatvotum for Husserl, July 30, 1908 p. 384

Extracts from Hilbert's Denkschrift for Leonard Nelson, undated p. 386

Extracts from Nelson's Letter to Hilbert, December 29, 1916 p. 388

David Hilbert's Private Letter to Becker, July 30, 1918 p. 391

Letter from Hermann Weyl, August 13, 1918 p. 392

"For the Minister," by David Hilbert, unpublished, undated 394

 

Bibliography 395

Index 413