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Introduction to Mathematical Philosophy

Introduction to Mathematical Philosophy

Bertrand Russell
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  • Harga: US$0,00
  • Penyedia: Librivox
  • Bahasa: 
    English
  • Genre: 
    History / World
  • Narator: 
    Landon D. C. Elkind
  • Peringkat: 
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)

Bab8 j 45 mnt

01
Preface
03:43
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Unduh
02
The Series of Natural Numbers
22:44
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Unduh
03
Definition of Number
21:54
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Unduh
04
Finitude and Mathematical Induction
20:56
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Unduh
05
The Definition of Order
32:34
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Unduh
06
Kinds of Relations
23:38
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Unduh
07
Similarity of Relations
24:57
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Unduh
08
Rational, Real, and Complex Numbers
40:30
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Unduh
09
Infinite Cardinal Numbers
31:47
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Unduh
10
Infintie Series of Ordinals
18:53
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Unduh
11
Limits and Continuity
23:30
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Unduh
12
Limits and Continuity of Functions
26:46
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Unduh
13
Selections and the Multiplicative Axiom
39:07
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Unduh
14
The Axiom of Infinity and Logical Types
33:29
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Unduh
15
Incompatibility and the Theory of Deduction
29:41
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Unduh
16
Propositional Functions
31:23
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Unduh
17
Descriptions
35:00
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Unduh
18
Classes
32:57
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Unduh
19
Mathematics and Logic
31:30
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Unduh

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