INTRODUCTION TO MATHEMATICAL PHILOSOPHY

PREFACE

EDITORS NOTE

CONTENTS

INTRODUCTION TO MATHEMATICAL PHILOSOPHY

I: THE SERIES OF NATURAL NUMBERS

II: DEFINITION OF NUMBER

III: FINITUDE AND MATHEMATICAL INDUCTION

IV: THE DEFINITION OF ORDER

V: KINDS OF RELATIONS

VI: SIMILARITY OF RELATIONS

VII: RATIONAL, REAL, AND COMPLEX NUMBERS

VIII: INFINITE CARDINAL NUMBERS

IX: INFINITE SERIES AND ORDINALS

X: LIMITS AND CONTINUITY

XI: LIMITS AND CONTINUITY OF FUNCTIONS

XII: SELECTIONS AND THE MULTIPLICATIVE AXIOM

XIII: THE AXIOM OF INFINITY AND LOGICAL TYPES

XIV: INCOMPATIBILITY AND THE THEORY OF DEDUCTION

XV: PROPOSITIONAL FUNCTIONS

XVI: DESCRIPTIONS

XVII: CLASSES

XVIII: MATHEMATICS AND LOGIC

INDEX

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