Introduction to Mathematical Philosophy

Introduction to Mathematical Philosophy

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by Bertrand Russell
     
 

Bertrand Russell is the most important philosopher of mathematics of the twentieth century. The author of The Principles of Mathematics, and, with Alfred Whitehead, the massive Principia Mathematica, Russell brought together his formidable knowledge of the subject and his skills as a gifted communicator to provide a classic introduction to the philosophy of… See more details below

Overview

Bertrand Russell is the most important philosopher of mathematics of the twentieth century. The author of The Principles of Mathematics, and, with Alfred Whitehead, the massive Principia Mathematica, Russell brought together his formidable knowledge of the subject and his skills as a gifted communicator to provide a classic introduction to the philosophy of mathematics. Introduction to Mathematical Philosophy sets out in a lucid and non-technical way the main ideas of Principia Mathematica. It is as inspiring and useful to the beginner as it was when it was first published in 1919.

Product Details

ISBN-13:
9781408681664
Publisher:
Malinowski Press
Publication date:
02/28/2008
Pages:
216
Product dimensions:
5.50(w) x 8.50(h) x 0.49(d)

Table of Contents

Introduction
Preface
Editor's Note
1The Series of Natural Numbers1
2Definition of Number11
3Finitude and Mathematical Induction20
4The Definition of Order29
5Kinds of Relations52
6Similarity of Relations52
7Rational, Real, and Complex Numbers63
8Infinite Cardinal Numbers77
9Infinite Series and Ordinals89
10Limits and Continuity97
11Limits and Continuity of Functions107
12Selections and Multiplicative Axiom117
13The Axiom of Infinity and Logical Types131
14Incompatibility and the Theory of Deduction144
15Propositional Functions155
16Descriptions167
17Classes181
18Mathematics and Logic194
Index207

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