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
Page : 293 pages
File Size : 16,46 MB
Release : 2014-08-21
Category : Literary Collections
ISBN : 1107002664
In this groundbreaking volume, leading philosophers and mathematicians explore Kurt Gödel's work on the foundations and philosophy of mathematics.
Author : Rebecca Goldstein
Publisher : W. W. Norton & Company
Page : 299 pages
File Size : 14,17 MB
Release : 2006-01-31
Category : Biography & Autobiography
ISBN : 0393327604
"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
Page : 167 pages
File Size : 27,16 MB
Release : 2006-11-15
Category : Mathematics
ISBN : 3540382836
Author : A. Biletzki
Publisher : Springer Science & Business Media
Page : 276 pages
File Size : 33,19 MB
Release : 2012-09-14
Category : Philosophy
ISBN : 940070822X
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
Page : 271 pages
File Size : 22,89 MB
Release : 2012-08-21
Category : Philosophy
ISBN : 1134947984
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 : Francesco Berto
Publisher : John Wiley & Sons
Page : 262 pages
File Size : 37,40 MB
Release : 2011-09-13
Category : Philosophy
ISBN : 1444357611
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 : Richard Tieszen
Publisher : OUP Oxford
Page : 272 pages
File Size : 43,68 MB
Release : 2011-05-05
Category : Philosophy
ISBN : 0191619310
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.
Author : William D. Brewer
Publisher : Springer Nature
Page : 502 pages
File Size : 48,36 MB
Release : 2022-09-08
Category : Mathematics
ISBN : 3031113098
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.
Author : Douglas R. Hofstadter
Publisher : Penguin Group(CA)
Page : 832 pages
File Size : 32,82 MB
Release : 2000
Category : Art and music
ISBN : 9780140289206
'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 : Torkel Franzén
Publisher : CRC Press
Page : 182 pages
File Size : 41,40 MB
Release : 2005-06-06
Category : Mathematics
ISBN : 1439876924
"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