Logic, Induction and Sets

Thomas Forster (University of Cambridge)

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Hardback

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English

Cambridge University Press
25 September 2003

Philosophy of mathematics; Mathematical logic; Set theory

Series: London Mathematical Society Student Texts

This is an introduction to logic and the axiomatization of set theory from a unique standpoint. Philosophical considerations, which are often ignored or treated casually, are here given careful consideration, and furthermore the author places the notion of inductively defined sets (recursive datatypes) at the centre of his exposition resulting in a treatment of well established topics that is fresh and insightful. The presentation is engaging, but always great care is taken to illustrate difficult points. Understanding is also aided by the inclusion of many exercises. Little previous knowledge of logic is required of the reader, and only a background of standard undergraduate mathematics is assumed.

By: Thomas Forster (University of Cambridge)
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Volume: 56
Dimensions: Height: 238mm, Width: 158mm, Spine: 20mm
Weight: 449g
ISBN: 9780521826211
ISBN 10: 0521826217
Series: London Mathematical Society Student Texts
Pages: 244
Publication Date: 25 September 2003
Audience: College/higher education , Professional and scholarly , Primary , Undergraduate
Format: Hardback
Publisher's Status: Active

Reviews for Logic, Induction and Sets

'This is a remarkable book, presenting an introduction to mathematical logic and axiomatic set theory from a unified standpoint ... also eminently suitable for self-study by mature mathematicians who wish to acquire a well-balanced and deeper knowledge of a field that is not part of their specialty ... The author's presentation is a model of clarity, and much of the liveliness of a lecture has been preserved in the write-up. The various asides, cross-references, and care in motivating definitions and concepts all contribute to the value of the book as an instructional source ... a treasure in its genre, to be highly recommended by the reviewer.' MathSciNet '... a real sense of freshness and vitality ... I found this a very readable and stimulating book. Forster writes with an agreeably light touch and a whimsical sense of fun and his use of rectypes as a leitmotiv is both innovative and inspired.' The Mathematical Gazette 'The author's philosophical training leads him to accompany many definitions with lengthy reflexions which add interest and enliven the book.' Mathematika