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Foundations Without Foundationalism: A Case for Second-Order Logic - Livres de poche

2000, ISBN: 9780198250296

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Stewart Shapiro:

Foundations Without Foundationalism: a Case for Second-Order Logic (Oxford Logic Guides) - Livres de poche

2000, ISBN: 9780198250296

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

2000

ISBN: 0198250290

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Foundations without Foundationalism: A Case for Second-Order Logic - Livres de poche

2000, ISBN: 0198250290

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Foundations Without Foundationalism A Case for Second-Order Logic - nouveau livre

1999, ISBN: 0198250290

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

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 bothfirst- 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 withlogic 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 fieldtoday.

Informations détaillées sur le livre - Foundations without Foundationalism: A Case for Second-order Logic (Oxford Logic Guides)


EAN (ISBN-13): 9780198250296
ISBN (ISBN-10): 0198250290
Livre de poche
Date de parution: 2000
Editeur: Oxford University Press, USA
304 Pages
Poids: 0,422 kg
Langue: eng/Englisch

Livre dans la base de données depuis 2007-06-12T12:52:52+02:00 (Paris)
Page de détail modifiée en dernier sur 2023-09-28T11:55:48+02:00 (Paris)
ISBN/EAN: 0198250290

ISBN - Autres types d'écriture:
0-19-825029-0, 978-0-19-825029-6
Autres types d'écriture et termes associés:
Auteur du livre: stewart, shapiro, resnik michael
Titre du livre: oxford, second order logic, out order, foundations without foundationalism, the order the


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