3. Mathematics, Analogies, and Discovery in Physics

Chapters in this book

1. Frontmatter i
2. Contents v
3. Acknowledgments vii
4. Introduction 1
5. 1. The Semantic Applicability of Mathematics: Frege's Achievements 13
6. 2. The Descriptive Applicability of Mathematics 24
7. 3. Mathematics, Analogies, and Discovery in Physics 48
8. 4. Pythagorean Analogies in Physics 76
9. 5. Formalisms and Formalist Reasoning in Quantum Mechanics 116
10. 6. Formalist Reasoning: The Mystery of Quantization 136
11. Appendix A. A "Nonphysical" Derivation of Quantum Mechanics 177
12. Appendix B. Nucleon-Pion Scattering 197
13. Appendix C. Nonrelativistic Schroedinger Equation with Spin 200
14. References 203
15. Index 211