Introduction to Mathematical Philosophy
- Author:
- Bertrand Russell
- Genres:
-
Philosophy
,
Modern - Language:
- English
- Read by:
- Landon D. C. Elkind
- Runnning time:
- 08:44:59
- Upload date:
- 2015-08-16
Preface
Chapters
1.
Preface
00:03:43
2.
The Series of Natural Numbers
00:22:44
3.
Definition of Number
00:21:54
4.
Finitude and Mathematical Induction
00:20:56
5.
The Definition of Order
00:32:34
6.
Kinds of Relations
00:23:38
7.
Similarity of Relations
00:24:57
8.
Rational, Real, and Complex Numbers
00:40:30
9.
Infinite Cardinal Numbers
00:31:47
10.
Infintie Series of Ordinals
00:18:53
11.
Limits and Continuity
00:23:30
12.
Limits and Continuity of Functions
00:26:46
13.
Selections and the Multiplicative Axiom
00:39:07
14.
The Axiom of Infinity and Logical Types
00:33:29
15.
Incompatibility and the Theory of Deduction
00:29:41
16.
Propositional Functions
00:31:23
17.
Descriptions
00:35:00
18.
Classes
00:32:57
19.
Mathematics and Logic
00:31:30
- Description
- 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)
- Other versions
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