Interpreting Godel

Interpreting Godel
Title Interpreting Godel PDF eBook
Author Juliette Kennedy
Publisher Cambridge University Press
Pages 293
Release 2014-08-21
Genre Literary Collections
ISBN 1107002664

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In this groundbreaking volume, leading philosophers and mathematicians explore Kurt Gödel's work on the foundations and philosophy of mathematics.

Incompleteness

Incompleteness
Title Incompleteness PDF eBook
Author Rebecca Goldstein
Publisher W. W. Norton & Company
Pages 299
Release 2006-01-31
Genre Biography & Autobiography
ISBN 0393327604

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"An introduction to the life and thought of Kurt Gödel, who transformed our conception of math forever"--Provided by publisher.

Extensional Gödel Functional Interpretation

Extensional Gödel Functional Interpretation
Title Extensional Gödel Functional Interpretation PDF eBook
Author Horst Luckhardt
Publisher Springer
Pages 167
Release 2006-11-15
Genre Mathematics
ISBN 3540382836

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(Over)Interpreting Wittgenstein

(Over)Interpreting Wittgenstein
Title (Over)Interpreting Wittgenstein PDF eBook
Author A. Biletzki
Publisher Springer Science & Business Media
Pages 276
Release 2012-09-14
Genre Philosophy
ISBN 940070822X

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This book tells the story of Wittgenstein interpretation during the past eighty years. It provides different interpretations, chronologies, developments, and controversies. It aims to discover the motives and motivations behind the philosophical community's project of interpreting Wittgenstein. It will prove valuable to philosophers, scholars, interpreters, students, and specialists, in both analytic and continental philosophy.

Godel's Theorem in Focus

Godel's Theorem in Focus
Title Godel's Theorem in Focus PDF eBook
Author S.G. Shanker
Publisher Taylor & Francis
Pages 271
Release 2012-08-21
Genre Philosophy
ISBN 1134947984

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A layman's guide to the mechanics of Gödel's proof together with a lucid discussion of the issues which it raises. Includes an essay discussing the significance of Gödel's work in the light of Wittgenstein's criticisms.

After Gödel

After Gödel
Title After Gödel PDF eBook
Author Richard Tieszen
Publisher OUP Oxford
Pages 272
Release 2011-05-05
Genre Philosophy
ISBN 0191619310

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Richard Tieszen presents an analysis, development, and defense of a number of central ideas in Kurt Gödel's writings on the philosophy and foundations of mathematics and logic. Tieszen structures the argument around Gödel's three philosophical heroes - Plato, Leibniz, and Husserl - and his engagement with Kant, and supplements close readings of Gödel's texts on foundations with materials from Gödel's Nachlass and from Hao Wang's discussions with Gödel. As well as providing discussions of Gödel's views on the philosophical significance of his technical results on completeness, incompleteness, undecidability, consistency proofs, speed-up theorems, and independence proofs, Tieszen furnishes a detailed analysis of Gödel's critique of Hilbert and Carnap, and of his subsequent turn to Husserl's transcendental philosophy in 1959. On this basis, a new type of platonic rationalism that requires rational intuition, called 'constituted platonism', is developed and defended. Tieszen shows how constituted platonism addresses the problem of the objectivity of mathematics and of the knowledge of abstract mathematical objects. Finally, he considers the implications of this position for the claim that human minds ('monads') are machines, and discusses the issues of pragmatic holism and rationalism.

There's Something About Gödel

There's Something About Gödel
Title There's Something About Gödel PDF eBook
Author Francesco Berto
Publisher John Wiley & Sons
Pages 262
Release 2011-09-13
Genre Philosophy
ISBN 1444357611

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Berto's highly readable and lucid guide introduces students and the interested reader to Gödel's celebrated Incompleteness Theorem, and discusses some of the most famous - and infamous - claims arising from Gödel's arguments. Offers a clear understanding of this difficult subject by presenting each of the key steps of the Theorem in separate chapters Discusses interpretations of the Theorem made by celebrated contemporary thinkers Sheds light on the wider extra-mathematical and philosophical implications of Gödel's theories Written in an accessible, non-technical style