The Applicability of Mathematics as a Philosophical Problem / / Mark Steiner.
This book analyzes the different ways mathematics is applicable in the physical sciences, and presents a startling thesis--the success of mathematical physics appears to assign the human mind a special place in the cosmos. Mark Steiner distinguishes among the semantic problems that arise from the us...
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Superior document: | Title is part of eBook package: De Gruyter HUP eBook Package Archive 1893-1999 |
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Place / Publishing House: | Cambridge, MA : : Harvard University Press, , [2021] ©1998 |
Year of Publication: | 2021 |
Language: | English |
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Physical Description: | 1 online resource (223 p.) |
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Table of Contents:
- Frontmatter
- Contents
- Acknowledgments
- Introduction
- 1. The Semantic Applicability of Mathematics: Frege's Achievements
- 2. The Descriptive Applicability of Mathematics
- 3. Mathematics, Analogies, and Discovery in Physics
- 4. Pythagorean Analogies in Physics
- 5. Formalisms and Formalist Reasoning in Quantum Mechanics
- 6. Formalist Reasoning: The Mystery of Quantization
- Appendix A. A "Nonphysical" Derivation of Quantum Mechanics
- Appendix B. Nucleon-Pion Scattering
- Appendix C. Nonrelativistic Schroedinger Equation with Spin
- References
- Index