Audiobook

Introduction to Mathematical Philosophy

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)

Year of Publication: 1919Genres: Modern , Philosophy

Running Time: 08 hours 44 minutes 59 seconds

#	Chapter Name
1	Preface Landon D. C. Elkind	3:43
2	The Series of Natural Numbers Landon D. C. Elkind	22:44
3	Definition of Number Landon D. C. Elkind	21:54
4	Finitude and Mathematical Induction Landon D. C. Elkind	20:56
5	The Definition of Order Landon D. C. Elkind	32:34
6	Kinds of Relations Landon D. C. Elkind	23:38
7	Similarity of Relations Landon D. C. Elkind	24:57
8	Rational, Real, and Complex Numbers Landon D. C. Elkind	40:30
9	Infinite Cardinal Numbers Landon D. C. Elkind	31:47
10	Infintie Series of Ordinals Landon D. C. Elkind	18:53
11	Limits and Continuity Landon D. C. Elkind	23:30
12	Limits and Continuity of Functions Landon D. C. Elkind	26:46
13	Selections and the Multiplicative Axiom Landon D. C. Elkind	39:07
14	The Axiom of Infinity and Logical Types Landon D. C. Elkind	33:29
15	Incompatibility and the Theory of Deduction Landon D. C. Elkind	29:41
16	Propositional Functions Landon D. C. Elkind	31:23
17	Descriptions Landon D. C. Elkind	35:00
18	Classes Landon D. C. Elkind	32:57
19	Mathematics and Logic Landon D. C. Elkind	31:30