Description

Book Synopsis

First published in 1919, Introduction to Mathematical Philosophy shows Russell drawing on his formidable knowledge of philosophy and mathematics to write a brilliant introduction to the subject. This Routledge Classics edition includes a new Foreword by Michael Potter.



Table of Contents

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

Introduction to Mathematical Philosophy

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    A Paperback by Bertrand Russell

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      Book details

      Publisher Taylor & Francis
      Published 9/15/2022 12:00:00 AM
      ISBN-13 9781032312279
      978-1032312279
      ISBN-10 1032312270
      Also in:
      Mathematics Philosophy of mathematics Philosophy: logic Books by Bertrand Russell

      Description

      Book Synopsis

      First published in 1919, Introduction to Mathematical Philosophy shows Russell drawing on his formidable knowledge of philosophy and mathematics to write a brilliant introduction to the subject. This Routledge Classics edition includes a new Foreword by Michael Potter.



      Table of Contents

      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

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