Introduction to mathematical philosophy<br>Bertrand russell<br><br><br><br>CONTENTS<br> <br>PREFACE ........ V<br>EDITOR’S NOTE ....... vii<br>1. THE SERIES OF NATURAL NUMBERS .... I<br>2. DEFINITION OF NUMBER . . . . . . 11<br>3. FINITUDE AND MATHEMATICAL INDUCTION 2O<br>4. THE DEFINITION OF ORDER ..... 29<br>5. KINDS OF RELATIONS ...... 42<br>6. SIMILARITY OF RELATIONS ..... £2<br>7. RATIONAL, REAL, AND COMPLEX NUMBERS ... 63<br>8. INFINITE CARDINAL NUMBERS ..... 77<br>9. INFINITE SERIES AND ORDINALS .... 89<br>10. LIMITS AND CONTINUITY ...... 97<br>11. LIMITS AND CONTINUITY OF FUNCTIONS . . . 107<br>12. SELECTIONS AND THE MULTIPLICATIVE AXIOM . 117<br>13. THE AXIOM OF INFINITY AND LOGICAL TYPES . . 131<br>14. INCOMPATIBILITY AND THE THEORY OF DEDUCTION . 144<br>15. PROPOSITIONAL FUNCTIONS ..... 155<br>16. DESCRIPTIONS ........ 167<br>17. CLASSES ......... l8l<br>18. MATHEMATICS AND LOGIC ...... 194<br>INDEX ......... 2O7<br>