Introduction To Mathematical Philosophy

Introduction To Mathematical Philosophy

5.0 1
by Bertrand Russell
     
 

ISBN-10: 1602062919

ISBN-13: 9781602062917

Pub. Date: 04/01/2007

Publisher: Cosimo

Not to be confused with the philosophy of mathematics, mathematical philosophy is the structured set of rules that govern all existence. Or, in a word: logic. While this branch of philosophy threatens to be an intimidating and abstract subject, it is one that is surprisingly simple and necessarily sensible, particularly at the pen of writer Bertrand Russell, who…  See more details below

Overview

Not to be confused with the philosophy of mathematics, mathematical philosophy is the structured set of rules that govern all existence. Or, in a word: logic. While this branch of philosophy threatens to be an intimidating and abstract subject, it is one that is surprisingly simple and necessarily sensible, particularly at the pen of writer Bertrand Russell, who infuses this work, first published in 1919, with a palpable and genuine desire to assist the reader in understanding the principles he illustrates.

Anyone interested in logic and its development and application here will find a comprehensive and accessible account of mathematical philosophy, from the idea of what numbers actually are, through the principles of order, limits, and deduction, and on to infinity.

British philosopher and mathematician BERTRAND ARTHUR WILLIAM RUSSELL (1872-1970) won the Nobel Prize for Literature in 1950. Among his many works are Why I Am Not a Christian (1927), Power: A New Social Analysis (1938), and My Philosophical Development (1959).

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Product Details

ISBN-13:
9781602062917
Publisher:
Cosimo
Publication date:
04/01/2007
Pages:
220
Product dimensions:
5.50(w) x 8.50(h) x 0.50(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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Introduction to Mathematical Philosophy 5 out of 5 based on 0 ratings. 1 reviews.
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