Introduction to Mathematical Philosophy

Contents......Page 4
Preface......Page 6
Editor's Note......Page 9
I The Series of Natural Numbers......Page 11
II Definition of Number......Page 27
III Finitude and Mathematical Induction......Page 42
IV The Definition of Order......Page 56
V Kinds of Relations......Page 77
VI Similarity of Relations......Page 93
VII Rational, Real, and Complex Numbers......Page 111
VIII Infinite Cardinal Numbers......Page 134
IX Infinite Series and Ordinals......Page 154
X Limits and Continuity......Page 166
XI Limits and Continuity of Functions......Page 181
XII Selections and the Multiplicative Axiom......Page 197
XIII The Axiom of Infinity and Logical Types......Page 220
XIV Incompatibility and the Theory of Deduction......Page 240
XV Propositional Functions......Page 258
XVI Descriptions......Page 277
XVII Classes......Page 299
XVIII Mathematics and Logic......Page 321
Index......Page 341
Appendix: Changes to Online Edition......Page 348