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Foundations Without Foundationalism: A Case for Second-Order Logic
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Foundations Without Foundationalism: A Case for Second-Order Logic Paperback - 2000

by Stewart Shapiro

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Reader reviews for Foundations Without Foundationalism: A Case for Second-Order Logic

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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 description of higher-order logic, including a comprehensive discussion of its semantics. He goes on to demonstrate the prevalence of second-order concepts in mathematics and the extent to which mathematical ideas can be formulated in higher-order logic. He also shows how first-order languages are often insufficient to codify many concepts in contemporary mathematics, and thus that both first- and higher-order logics are needed to fully reflect current work. Throughout, the emphasis is on discussing the associated philosophical and historical issues and the implications they have for foundational studies. For the most part, the author assumes little more than a familiarity with logic comparable to that provided in 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 the field today.

Details

  • Title Foundations Without Foundationalism: A Case for Second-Order Logic
  • Author Stewart Shapiro
  • Binding Paperback
  • Pages 300
  • Volumes 1
  • Language ENG
  • Publisher OUP Oxford, 909
  • Publication date 2000-05-18
  • Features Bibliography
  • ISBN 9780198250296 / 0198250290
  • Weight 0.93 lbs (0.42 kg)
  • Dimensions 9.21 x 6.14 x 0.63 in (23.39 x 15.60 x 1.60 cm)
  • Category Mathematics
  • Dewey Decimal Code 511.3

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Foundations without Foundationalism: A Case for Second-Order Logic

Foundations without Foundationalism: A Case for Second-Order Logic

by Stewart Shapiro

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Paperback / softback. New. Stewart Shapiro presents a distinctive original view of the foundations of mathematics, arguing that second-order logic has a central role to play in laying these foundations. He gives an accessible account of second-order and higher-order logic, paying special attention to philosophical and historical issues.
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Foundations Without Foundationalism: A Case for Second-Order Logic

Foundations Without Foundationalism: A Case for Second-Order Logic

by Stewart Shapiro

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Paperback. New. New Book; Fast Shipping from UK; Not signed; Not First Edition; Stewart Shapiro presents a distinctive original view of the foundations of mathematics, arguing that second-order logic has a central role to play in laying these foundations. He gives an accessible account of second-order and higher-or
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Foundations without Foundationalism: A Case for Second-Order Logic

Foundations without Foundationalism: A Case for Second-Order Logic

by Stewart Shapiro

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ISBN 10 / ISBN 13
9780198250296 / 0198250290
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Paperback / softback. New. Stewart Shapiro presents a distinctive original view of the foundations of mathematics, arguing that second-order logic has a central role to play in laying these foundations. He gives an accessible account of second-order and higher-order logic, paying special attention to philosophical and historical issues.
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Foundations Without Foundationalism
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Foundations Without Foundationalism

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Foundations without Foundationalism: A Case for Second-order Logic (Oxford Logic Guides)
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Foundations without Foundationalism: A Case for Second-order Logic (Oxford Logic Guides)

by Shapiro, Stewart

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OXFORD UNIVERSITY PRESS, 2000-05-18. paperback. Used: Good. 9.21x6.14x0.63. Buy with confidence. Excellent Customer Service & Return policy.
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Foundations without Foundationalism: A Case for Second-order Logic (Oxford Logic Guides)
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Foundations without Foundationalism: A Case for Second-order Logic (Oxford Logic Guides)

by Shapiro, Stewart

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Foundations without Foundationalism: A Case for Second-order Logic (Oxford Logic Guides)

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Foundations Without Foundationalism
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Foundations Without Foundationalism

by Shapiro, Stewart,

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Foundations without Foundationalism: A Case for Second-order Logic (Oxford Logic Guides)
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Foundations without Foundationalism: A Case for Second-order Logic (Oxford Logic Guides)

by Shapiro, Stewart

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ISBN 10 / ISBN 13
9780198250296 / 0198250290
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OXFORD UNIVERSITY PRESS, 2000-05-18. paperback. New. 9.21x6.14x0.63. Buy with confidence. Excellent Customer Service & Return policy.
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A$139.08
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Foundations without Foundationalism: A Case for Second-order Logic (Oxford Logic Guides)
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Foundations without Foundationalism: A Case for Second-order Logic (Oxford Logic Guides)

by Shapiro, Stewart

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Paperback
ISBN 10 / ISBN 13
9780198250296 / 0198250290
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Oxford University Press, 2000-05-18. Paperback. New. New. In shrink wrap. Looks like an interesting title!
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