From Peirce to Skolem: A Neglected Chapter in the History of Logic

Geraldine Brady (Eds.)044450334X, 9780444503343, 9780080532028

This book is an account of the important influence on the development of mathematical logic of Charles S. Peirce and his student O.H. Mitchell, through the work of Ernst Schröder, Leopold Löwenheim, and Thoralf Skolem. As far as we know, this book is the first work delineating this line of influence on modern mathematical logic.

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Table of contents :
Content:
Acknowledgments
Pages vii-viii
Geraldine Brady

Introduction
Pages 1-8

1. The early work of Charles S. Peirce Original Research Article
Pages 9-22

2. Peirce’s calculus of relatives: 1870 Original Research Article
Pages 23-49

3. Peirce on the algebra of logic: 1880 Original Research Article
Pages 51-74

4. Mitchell on a new algebra of logic: 1883 Original Research Article
Pages 75-94

5. Peirce on the algebra of relatives: 1883 Original Research Article
Pages 95-112

6. Peirce’s logic of quantifiers: 1885 Original Research Article
Pages 113-142

7. Schröder’s calculus of relatives Original Research Article
Pages 143-168

8. Löwenheim’s contribution Original Research Article
Pages 169-196

9. Skolem’s recasting Original Research Article
Pages 197-205

Appendix 1: Schröder’s lecture I Original Research Article
Pages 207-221

Appendix 2: Schröder’s lecture II Original Research Article
Pages 223-249

Appendix 3: Schröder’s lecture III Original Research Article
Pages 251-256

Appendix 4: Schröder’s lecture V Original Research Article
Pages 257-294

Appendix 5: Schröder’s lecture IX Original Research Article
Pages 295-338

Appendix 6: Schröder’s lecture XI Original Research Article
Pages 339-377

Appendix 7: Schröder’s lecture XII Original Research Article
Pages 379-427

Appendix 8: Norbert Wiener’s thesis Original Research Article
Pages 429-444

Bibliography
Pages 445-459

Index
Pages 461-468