Аудиокнига: Introduction to Mathematical Philosophy
- Download Preface audio
- Download The Series of Natural Numbers audio
- Download Definition of Number audio
- Download Finitude and Mathematical Induction audio
- Download The Definition of Order audio
- Download Kinds of Relations audio
- Download Similarity of Relations audio
- Download Rational, Real, and Complex Numbers audio
- Download Infinite Cardinal Numbers audio
- Download Infintie Series of Ordinals audio
- Download Limits and Continuity audio
- Download Limits and Continuity of Functions audio
- Download Selections and the Multiplicative Axiom audio
- Download The Axiom of Infinity and Logical Types audio
- Download Incompatibility and the Theory of Deduction audio
- Download Propositional Functions audio
- Download Descriptions audio
- Download Classes audio
- Download Mathematics and Logic audio
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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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