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Introduction to Mathematical Philosophy

Public domain audiobook

Introduction to Mathematical Philosophy

by Bertrand Russell

English· 08:44:59· 19 chapters
Bertrand Russell wrote 'Introduction to Mathematical Philosophy' while imprisoned for protesting Britain's involvement in World War I. Russell summarizes the significance of the momentous work of mathematicians in the late nineteenth-century. He further describes his own philosophy of mathematics, Logicism (the view that all mathematical truths are logical truths), and his earlier, influential work solving the paradoxes that plagued mathematical foundations, which crystallized after ten years of dogged effort into the co-authored (with Alfred North Whitehead), three-volume 'Principia Mathematica'. Russell emphasizes the importance of a doctrine of types, the truth of Logicism, and the clarity brought to the philosophy of mathematics by the method of logical analysis. (summary by Landon D. C. Elkind)

LibriVox recordings are public domain in the United States; copyright status may differ elsewhere.

Chapters

  1. Chapter 1

    Preface

    03:43
  2. Chapter 2

    The Series of Natural Numbers

    22:44
  3. Chapter 3

    Definition of Number

    21:54
  4. Chapter 4

    Finitude and Mathematical Induction

    20:56
  5. Chapter 5

    The Definition of Order

    32:34
  6. Chapter 6

    Kinds of Relations

    23:38
  7. Chapter 7

    Similarity of Relations

    24:57
  8. Chapter 8

    Rational, Real, and Complex Numbers

    40:30
  9. Chapter 9

    Infinite Cardinal Numbers

    31:47
  10. Chapter 10

    Infintie Series of Ordinals

    18:53
  11. Chapter 11

    Limits and Continuity

    23:30
  12. Chapter 12

    Limits and Continuity of Functions

    26:46
  13. Chapter 13

    Selections and the Multiplicative Axiom

    39:07
  14. Chapter 14

    The Axiom of Infinity and Logical Types

    33:29
  15. Chapter 15

    Incompatibility and the Theory of Deduction

    29:41
  16. Chapter 16

    Propositional Functions

    31:23
  17. Chapter 17

    Descriptions

    35:00
  18. Chapter 18

    Classes

    32:57
  19. Chapter 19

    Mathematics and Logic

    31:30