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)
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Chapters
- Chapter 1
Preface
03:43 - Chapter 2
The Series of Natural Numbers
22:44 - Chapter 3
Definition of Number
21:54 - Chapter 4
Finitude and Mathematical Induction
20:56 - Chapter 5
The Definition of Order
32:34 - Chapter 6
Kinds of Relations
23:38 - Chapter 7
Similarity of Relations
24:57 - Chapter 8
Rational, Real, and Complex Numbers
40:30 - Chapter 9
Infinite Cardinal Numbers
31:47 - Chapter 10
Infintie Series of Ordinals
18:53 - Chapter 11
Limits and Continuity
23:30 - Chapter 12
Limits and Continuity of Functions
26:46 - Chapter 13
Selections and the Multiplicative Axiom
39:07 - Chapter 14
The Axiom of Infinity and Logical Types
33:29 - Chapter 15
Incompatibility and the Theory of Deduction
29:41 - Chapter 16
Propositional Functions
31:23 - Chapter 17
Descriptions
35:00 - Chapter 18
Classes
32:57 - Chapter 19
Mathematics and Logic
31:30