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Numbers, Sets and Axioms

The Apparatus of Mathematics

By: A. G. Hamilton

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Paperback | 14 March 1983

At a Glance

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268 Pages

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15.2 x 22.8 x 2.1

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Following the success of Logic for Mathematicians, Dr Hamilton has written a text for mathematicians and students of mathematics that contains a description and discussion of the fundamental conceptual and formal apparatus upon which modern pure mathematics relies. The author's intention is to remove some of the mystery that surrounds the foundations of mathematics. He emphasises the intuitive basis of mathematics; the basic notions are numbers and sets and they are considered both informally and formally. The role of axiom systems is part of the discussion but their limitations are pointed out. Formal set theory has its place in the book but Dr Hamilton recognises that this is a part of mathematics and not the basis on which it rests. Throughout, the abstract ideas are liberally illustrated by examples so this account should be well-suited, both specifically as a course text and, more broadly, as background reading. The reader is presumed to have some mathematical experience but no knowledge of mathematical logic is required.

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You Can Find This Book In

Non-Fiction Mathematics Number Theory Mathematical Foundation Set Theory Combinatorics & Graph Theory Mathematical Logic

Preface
Numbers
The size of a set
Ordered sets
Set theory
The axiom of choice
Ordinal and cardinal numbers
Hints and solutions to selected exercises
References
Index of symbols
Subject index
Table of Contents provided by Publisher. All Rights Reserved.

Numbers, Sets and Axioms

The Apparatus of Mathematics

At a Glance

Paperback

Shipping

How to return your order

Defective items

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