1st Edition

Introduction to Mathematical Philosophy

By Bertrand Russell Copyright 2023
226 Pages
by Routledge

226 Pages
by Routledge

226 Pages
by Routledge

"The philosophy of mathematics will naturally be expected to deal with questions at the frontier of knowledge, as to which comparative certainty is not yet attained. But separation of such questions is hardly likely to be fruitful unless the more scientific parts of mathematics are known. A book dealing with those parts may, therefore, claim to be an introduction to mathematical philosophy..."... Read more

Foreword to the Routledge Classics Edition Michael Potter

Preface

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

Biography

Bertrand Russell (1872-1970). A celebrated mathematician and logician, Russell was and remains one of the most genuinely widely read and popular philosophers of modern times.