Overview

The nature of truth in mathematics is a problem which has exercised the minds of thinkers from at least the time of the ancient Greeks. The great advances in mathematics and philosophy in the twentieth centuryand in particular the proof of Gödel's theorem and the development of the notion of independence in mathematicshave led to new viewpoints on this question in our era. This book is the result of the interaction of a number of outstanding mathematicians and philosophersincluding Yurii Manin, Vaughan Jones, and Per Martin-Löfand their discussions of this problem. It provides an overview of the forefront of current thinking, and is a valuable introduction and reference for researchers in the area.

Full Product Details

Author:   H. G. Dales (Professor of Pure Mathematics, Professor of Pure Mathematics, University of Leeds) ,  G. Oliveri (, Wolfson College, Oxford) ,  G. Oliveri (Wolfson College, University of Oxford)
Publisher:   Oxford University Press
Imprint:   Oxford University Press
Dimensions:   Width: 16.30cm , Height: 2.50cm , Length: 24.10cm
Weight:   0.700kg
ISBN:  

9780198514763

ISBN 10:   019851476
Pages:   392
Publication Date:   15 October 1998
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   To order  
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Table of Contents

1: Truth and the foundations of mathematics. An introduction 2: Truth and obvjectivity from a verificationist point of view 3: Constructive truth in practice 4: On founding the theory of algorithms 5: Truth and knowability: on the principles of C and K of Michael Dummett 6: Logical completeness, truth, and proofs 7: Mathematics as a language 8: Truth, rigour, and common sense 9: How to be a naturalist about mathematics 10: The mathematician as a formalist 11: A credo of sorts 12: Mathematical evidence 13: Mathematical definability 14: True to the pattern 15: Foundations of set theory 16: Which undecidable mathematical sentences have determinate truth values? 17: Two conceptions of natural number 18: The tower of Hanoi

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