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Author: Juliette Kennedy
Publisher: Cambridge University Press
ISBN: 1107002664
Category : Literary Collections
Languages : en
Pages : 293
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Book Description
In this groundbreaking volume, leading philosophers and mathematicians explore Kurt Gödel's work on the foundations and philosophy of mathematics.
Author: Juliette Kennedy
Publisher: Cambridge University Press
ISBN: 1107002664
Category : Literary Collections
Languages : en
Pages : 293
Get Book Here
Book Description
In this groundbreaking volume, leading philosophers and mathematicians explore Kurt Gödel's work on the foundations and philosophy of mathematics.
Author: Juliette Kennedy
Publisher: Cambridge University Press
ISBN: 1139991752
Category : Science
Languages : en
Pages : 293
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Book Description
The logician Kurt Gödel (1906–1978) published a paper in 1931 formulating what have come to be known as his 'incompleteness theorems', which prove, among other things, that within any formal system with resources sufficient to code arithmetic, questions exist which are neither provable nor disprovable on the basis of the axioms which define the system. These are among the most celebrated results in logic today. In this volume, leading philosophers and mathematicians assess important aspects of Gödel's work on the foundations and philosophy of mathematics. Their essays explore almost every aspect of Godel's intellectual legacy including his concepts of intuition and analyticity, the Completeness Theorem, the set-theoretic multiverse, and the state of mathematical logic today. This groundbreaking volume will be invaluable to students, historians, logicians and philosophers of mathematics who wish to understand the current thinking on these issues.
Author: Rebecca Goldstein
Publisher: W. W. Norton & Company
ISBN: 0393327604
Category : Biography & Autobiography
Languages : en
Pages : 299
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Book Description
"An introduction to the life and thought of Kurt Gödel, who transformed our conception of math forever"--Provided by publisher.
Author: Horst Luckhardt
Publisher: Springer
ISBN: 3540382836
Category : Mathematics
Languages : en
Pages : 167
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Book Description
Author: A. Biletzki
Publisher: Springer Science & Business Media
ISBN: 940070822X
Category : Philosophy
Languages : en
Pages : 276
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Book Description
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.
Author: S.G. Shanker
Publisher: Taylor & Francis
ISBN: 1134947984
Category : Philosophy
Languages : en
Pages : 271
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Book Description
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.
Author: Douglas R. Hofstadter
Publisher: Penguin Group(CA)
ISBN: 9780140289206
Category : Art and music
Languages : en
Pages : 832
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Book Description
'What is a self and how can a self come out of inanimate matter?' This is the riddle that drove Douglas Hofstadter to write this extraordinary book. In order to impart his original and personal view on the core mystery of human existence - our intangible sensation of 'I'-ness - Hofstadter defines the playful yet seemingly paradoxical notion of 'strange loop', and explicates this idea using analogies from many disciplines.
Author: Juliette Kennedy
Publisher:
ISBN: 9781316003305
Category : MATHEMATICS
Languages : en
Pages : 294
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Book Description
In this groundbreaking volume, leading philosophers and mathematicians explore Kurt Godel's work on the foundations and philosophy of mathematics."
Author: Francesco Berto
Publisher: John Wiley & Sons
ISBN: 1444357611
Category : Philosophy
Languages : en
Pages : 262
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Book Description
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
Author: Peter Smith
Publisher: Cambridge University Press
ISBN: 1139465937
Category : Mathematics
Languages : en
Pages : 376
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Book Description
In 1931, the young Kurt Gödel published his First Incompleteness Theorem, which tells us that, for any sufficiently rich theory of arithmetic, there are some arithmetical truths the theory cannot prove. This remarkable result is among the most intriguing (and most misunderstood) in logic. Gödel also outlined an equally significant Second Incompleteness Theorem. How are these Theorems established, and why do they matter? Peter Smith answers these questions by presenting an unusual variety of proofs for the First Theorem, showing how to prove the Second Theorem, and exploring a family of related results (including some not easily available elsewhere). The formal explanations are interwoven with discussions of the wider significance of the two Theorems. This book will be accessible to philosophy students with a limited formal background. It is equally suitable for mathematics students taking a first course in mathematical logic.
