Introduction to Mathematical Philosophy by Bertrand Russell
Philosophy Podcasts
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...
Location:
United States
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.
Language:
English
Preface
Duración:00:03:43
The Series of Natural Numbers
Duración:00:22:44
Definition of Number
Duración:00:21:54
Finitude and Mathematical Induction
Duración:00:20:56
The Definition of Order
Duración:00:32:34
Kinds of Relations
Duración:00:23:38
Similarity of Relations
Duración:00:24:57
Rational, Real, and Complex Numbers
Duración:00:40:30
Infinite Cardinal Numbers
Duración:00:31:47
Infintie Series of Ordinals
Duración:00:18:53
Limits and Continuity
Duración:00:23:30
Limits and Continuity of Functions
Duración:00:26:46
Selections and the Multiplicative Axiom
Duración:00:39:07
The Axiom of Infinity and Logical Types
Duración:00:33:29
Incompatibility and the Theory of Deduction
Duración:00:29:41
Propositional Functions
Duración:00:31:23
Descriptions
Duración:00:35:00
Classes
Duración:00:32:57
Mathematics and Logic
Duración:00:31:30