Interpreting Godel

Interpreting Godel PDF

Author: Juliette Kennedy

Publisher: Cambridge University Press

Published: 2014-08-21

Total Pages: 293

ISBN-13: 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 PDF

Author: Rebecca Goldstein

Publisher: W. W. Norton & Company

Published: 2006-01-31

Total Pages: 299

ISBN-13: 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.

(Over)Interpreting Wittgenstein

(Over)Interpreting Wittgenstein PDF

Author: A. Biletzki

Publisher: Springer Science & Business Media

Published: 2012-09-14

Total Pages: 276

ISBN-13: 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 PDF

Author: S.G. Shanker

Publisher: Taylor & Francis

Published: 2012-08-21

Total Pages: 271

ISBN-13: 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.

Gödel's Theorem

Gödel's Theorem PDF

Author: Torkel Franzén

Publisher: CRC Press

Published: 2005-06-06

Total Pages: 182

ISBN-13: 1439876924

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"Among the many expositions of Gödel's incompleteness theorems written for non-specialists, this book stands apart. With exceptional clarity, Franzén gives careful, non-technical explanations both of what those theorems say and, more importantly, what they do not. No other book aims, as his does, to address in detail the misunderstandings and abuses of the incompleteness theorems that are so rife in popular discussions of their significance. As an antidote to the many spurious appeals to incompleteness in theological, anti-mechanist and post-modernist debates, it is a valuable addition to the literature." --- John W. Dawson, author of Logical Dilemmas: The Life and Work of Kurt Gödel

Kurt Gödel

Kurt Gödel PDF

Author: William D. Brewer

Publisher: Springer Nature

Published: 2022-09-08

Total Pages: 502

ISBN-13: 3031113098

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During his lifetime, Kurt Gödel was not well known outside the professional world of mathematicians, philosophers and theoretical physicists. Early in his career, for his doctoral thesis and then for his Habilitation (Dr.Sci.), he wrote earthshaking articles on the completeness and provability of mathematical-logical systems, upsetting the hypotheses of the most famous mathematicians/philosophers of the time. He later delved into theoretical physics, finding a unique solution to Einstein’s equations for gravity, the ‘Gödel Universe’, and made contributions to philosophy, the guiding theme of his life. This book includes more details about the context of Gödel’s life than are found in earlier biographies, while avoiding an elaborate treatment of his mathematical/scientific/philosophical works, which have been described in great detail in other books. In this way, it makes him and his times more accessible to general readers, and will allow them to appreciate the lasting effects of Gödel’s contributions (the latter in a more up-to-date context than in previous biographies, many of which were written 15–25 years ago). His work spans or is relevant to a wide spectrum of intellectual endeavor, and this is emphasized in the book, with recent examples. This biography also examines possible sources of his unusual personality, which combined mathematical genius with an almost childlike naiveté concerning everyday life, and striking scientific innovations with timidity and hesitancy in practical matters. How he nevertheless had a long and successful career, inspiring many younger scholars along the way, with the help of his loyal wife Adele and some of his friends, is a fascinating story in human nature.

There's Something About Gödel

There's Something About Gödel PDF

Author: Francesco Berto

Publisher: John Wiley & Sons

Published: 2011-09-13

Total Pages: 262

ISBN-13: 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

Gödel, Tarski and the Lure of Natural Language

Gödel, Tarski and the Lure of Natural Language PDF

Author: Juliette Kennedy

Publisher: Cambridge University Press

Published: 2020-12-17

Total Pages: 201

ISBN-13: 1107012570

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Introduces an original approach to foundations of mathematics, departing from Gödel and Tarski and spanning many different areas of logic.