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Stewart Shapiro:

Foundations Without Foundationalism: A Case for Second-Order Logic (Oxford Logic Guides) - used book

1991, ISBN: 9780198533917

Oxford: Oxford University Press, 1991. Cloth. Good/No d/j as Published. 8vo - over 7¾" - 9¾" tall. Type: Book N.B. Small plain label to front past… More...

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Shapiro, Stewart:

Foundations Without Foundationalism: a Case for Second-Order Logic (Oxford Logic Guides, 17) - hardcover

1991, ISBN: 9780198533917

hardcover, Connecting readers with great books since 1972! Used textbooks may not include companion materials such as access codes, etc. May have some wear or writing/highlighting. We shi… More...

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Stewart Shapiro:
Foundations Without Foundationalism: a Case for Second-Order Logic (Oxford Logic Guides) - hardcover

1991

ISBN: 9780198533917

Cloth, Good in No d/j as Published jacket, Size: 8vo-over 7¾"-9¾" tall; Type: Book N.B. Small plain label to front paste down. Score to spine which has split the cloth otherwise in fine c… More...

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Shapiro, Stewart:
Foundations Without Foundationalism: A Case for Second-Order Logic (Oxford Logic Guides, 17) - hardcover

1991, ISBN: 0198533918

[EAN: 9780198533917], Gebraucht, guter Zustand, [PU: Oxford University Press], Buy with confidence! Book is in good condition with minor wear to the pages, binding, and minor marks within… More...

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Stewart Shapiro:
Foundations without Foundationalism: A Case for Second-Order Logic (Oxford Logic Guides) - hardcover

1991, ISBN: 9780198533917

Oxford University Press, USA, 1991-11-07. First Edition. Hardcover. Used:Good., Oxford University Press, USA, 1991-11-07, 0

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Foundations Without Foundationalism: A Case for Second-Order Logic (Oxford Logic Guides, Band 17)
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ISBN:

9780198533917


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.

Details of the book - Foundations Without Foundationalism: A Case for Second-Order Logic (Oxford Logic Guides, Band 17)


EAN (ISBN-13): 9780198533917
ISBN (ISBN-10): 0198533918
Hardcover
Publishing year: 1991
Publisher: Clarendon Press

Book in our database since 2007-04-12T10:20:22-04:00 (New York)
Detail page last modified on 2023-09-28T05:55:48-04:00 (New York)
ISBN/EAN: 9780198533917

ISBN - alternate spelling:
0-19-853391-8, 978-0-19-853391-7
Alternate spelling and related search-keywords:
Book author: stewart, shapiro
Book title: second order logic, foundations without foundationalism

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