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by Bertrand Russell
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ISBN: 0486277240 Dover Publications Price: $10.95 |
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Seminal work by great modern philosopher and mathematician focuses on certain issues of mathematical logic that Russell believed invalidated much traditional and contemporary philosophy. Topics include number, order, relations, limits and continuity, propositional functions, descriptions and classes, more. Clear, accessible excursion into the realm where mathematics and philosophy meet.
Table of Contents for Introduction to Mathematical Philosophy
| Preface; Editor's Note | |||||||
| 1. The Series of natural numbers | |||||||
| 2. Definition of number | |||||||
| 3. Finitude and mathematical induction | |||||||
| 4. The definition of order | |||||||
| 5. Kinds of relations | |||||||
| 6. Similarity of relations | |||||||
| 7. Rational, real, and complex numbers | |||||||
| 8. Infinite cardinal numbers | |||||||
| 9. Infinite series and ordinals | |||||||
| 10. Limits and continuity | |||||||
| 11. Limits and continuity of functions | |||||||
| 12. Selections and the multiplicative axiom | |||||||
| 13. The axiom of infinity and logical types | |||||||
| 14. Incompatibility and the theory of deduction | |||||||
| 15. Propositional functions | |||||||
| 16. Descriptions | |||||||
| 17. Classes | |||||||
| 18. Mathematics and logic | |||||||
| Index |