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Introduction to Mathematical Philosophy

Gelesen von Landon D. C. Elkind

(4,5 Sterne; 7 Bewertungen)

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) (8 hr 44 min)

Chapters

Preface

3:43

Read by Landon D. C. Elkind

The Series of Natural Numbers

22:44

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Definition of Number

21:54

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Finitude and Mathematical Induction

20:56

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The Definition of Order

32:34

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Kinds of Relations

23:38

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Similarity of Relations

24:57

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Rational, Real, and Complex Numbers

40:30

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Infinite Cardinal Numbers

31:47

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Infintie Series of Ordinals

18:53

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Limits and Continuity

23:30

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Limits and Continuity of Functions

26:46

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Selections and the Multiplicative Axiom

39:07

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The Axiom of Infinity and Logical Types

33:29

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Incompatibility and the Theory of Deduction

29:41

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Propositional Functions

31:23

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Descriptions

35:00

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Classes

32:57

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Mathematics and Logic

31:30

Read by Landon D. C. Elkind

Bewertungen

(4 Sterne)

Solid reading, found it a bit hard to follow along I am guessing it had to do with the material. It became an exercise in my attention and concentration to not allow myself to become distracted. I am sure this would be very interesting if Bertrand Russell was giving the lecture himself with a board to write out the examples, but it was difficult for me to follow along and visualize all of the various equations and figures even though they were quite elementary, probably because I wasn't sitting doing nothing, but rather doing things that required some of my attention.

Great insite of mathematics

(5 Sterne)

Makes you appreciate how important mathematics is and teaches you how to think logically