Introduction to Mathematical Philosophy

Bertrand RUSSELL (1872 - 1970)

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)

Genre(s): Philosophy, Modern

Language: English

Section Chapter Reader Time
Play 00 Preface Landon D. C. Elkind
00:03:43
Play 01 The Series of Natural Numbers Landon D. C. Elkind
00:22:44
Play 02 Definition of Number Landon D. C. Elkind
00:21:54
Play 03 Finitude and Mathematical Induction Landon D. C. Elkind
00:20:56
Play 04 The Definition of Order Landon D. C. Elkind
00:32:34
Play 05 Kinds of Relations Landon D. C. Elkind
00:23:38
Play 06 Similarity of Relations Landon D. C. Elkind
00:24:57
Play 07 Rational, Real, and Complex Numbers Landon D. C. Elkind
00:40:30
Play 08 Infinite Cardinal Numbers Landon D. C. Elkind
00:31:47
Play 09 Infintie Series of Ordinals Landon D. C. Elkind
00:18:53
Play 10 Limits and Continuity Landon D. C. Elkind
00:23:30
Play 11 Limits and Continuity of Functions Landon D. C. Elkind
00:26:46
Play 12 Selections and the Multiplicative Axiom Landon D. C. Elkind
00:39:07
Play 13 The Axiom of Infinity and Logical Types Landon D. C. Elkind
00:33:29
Play 14 Incompatibility and the Theory of Deduction Landon D. C. Elkind
00:29:41
Play 15 Propositional Functions Landon D. C. Elkind
00:31:23
Play 16 Descriptions Landon D. C. Elkind
00:35:00
Play 17 Classes Landon D. C. Elkind
00:32:57
Play 18 Mathematics and Logic Landon D. C. Elkind
00:31:30