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Introduction to Mathematical Philosophy

Introduction to Mathematical Philosophy

Bertrand Russell
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  • المزود: Librivox
  • اللغات: 
    English
  • التصنيفات: 
    History / World
  • الرواة: 
    Landon D. C. Elkind
  • التقييم: 
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)

الفصول8 س 45 د

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

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