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