Call Boomerang Books 1300 36 33 32

Get Latest Book News + FREE Shipping. Subscribe to the Boomerang Books Bulletin eNewsletter right now!

Description - Foundations without Foundationalism by Stewart Shapiro

The central contention of this book is that second-order logic has a central role to play in laying the foundations of mathematics. In order to develop the argument fully, the author presents a detailed development of higher-order logic, including a comprehensive discussion of its semantics. Professor Shapiro demonstrates the prevalence of second-order notions in mathematics is practised, and also the extent to which mathematical concepts can be formulated in second-order languages . He shows how first-order languages are insufficient to codify many concepts in contemporary mathematics, and thus that higher-order logic is needed to fully reflect current mathematics. Throughout, the emphasis is on discussing the philosophical and historical issues associated with this subject, and the implications that they have for foundational studies. For the most part, the author assumes little more than a familiarity with logic as might be gained from a beginning graduate course which includes the incompleteness of arithmetic and the Lowenheim-Skolem theorems. All those concerned with the foundations of mathematics will find this a thought-provoking discussion of some of the central issues in this subject.

Buy Foundations without Foundationalism by Stewart Shapiro from Australia's Online Independent Bookstore, Boomerang Books.

Book Details

ISBN: 9780198533917
ISBN-10: 0198533918
Format: Hardback
(242mm x 161mm x 24mm)
Pages: 300
Imprint: Clarendon Press
Publisher: Oxford University Press
Publish Date: 19-Sep-1991
Country of Publication: United Kingdom

Other Editions - Foundations without Foundationalism by Stewart Shapiro

Book Reviews - Foundations without Foundationalism by Stewart Shapiro

» Have you read this book? We'd like to know what you think about it - write a review about Foundations without Foundationalism book by Stewart Shapiro and you'll earn 50c in Boomerang Bucks loyalty dollars (you must be a Boomerang Books Account Holder - it's free to sign up and there are great benefits!)

Write Review


Books By Stewart Shapiro

Varieties of Logic by Stewart Shapiro
Hardback, September 2014
$73.76
Vagueness in Context by Stewart Shapiro
Paperback, March 2008
$55.76
Thinking about Mathematics by Stewart Shapiro
Paperback, July 2000
$59.36