Introduction to Mathematical Philosophy

Originally published by George Allen & Unwin, Ltd., London. May 1919. Online Corrected Edition version 1 . 0 (February 5, 2010), based on the “second edition” (second printing) of April 1920, incorporating additional corrections, marked in green. Contents Preface Editor's Note 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 Appendix: Changes to Online Edition