Kurt Gödel : The Princeton Lectures on Intuitionism

Name: Kurt Gödel
Brand: Springer Nature Switzerland AG
SKU: 9783030872953
Price: 18000 KES
Availability: OutOfStock
ISBN: 9783030872953

2021 ed.

Book Details

Format Hardback

Book Series Sources and Studies in the History of Mathematics and Physical Sciences

ISBN-10 3030872955

ISBN-13 9783030872953

Edition 2021 ed.

Publisher Springer Nature Switzerland AG

Imprint Springer Nature Switzerland AG

Country of Manufacture GB

Country of Publication GB

Publication Date Dec 16th, 2021

Print length 133 Pages

Weight 366 grams

Dimensions 24.10 x 16.50 x 1.50 cms

Product Classification: History of Western philosophy Philosophy: logic History of mathematics Philosophical traditions and schools of thought Philosophy: logic

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Gödel then went on to attack Hilbert's first and second Paris problems, namely Cantor's continuum problem about the type of infinity of the real numbers, and the freedom from contradiction of the theory of real numbers.

Paris of the year 1900 left two landmarks: the Tour Eiffel, and David Hilbert''s celebrated list of twenty-four mathematical problems presented at a conference opening the new century. Kurt Gödel, a logical icon of that time, showed Hilbert''s ideal of complete axiomatization of mathematics to be unattainable. The result, of 1931, is called Gödel''s incompleteness theorem. Gödel then went on to attack Hilbert''s first and second Paris problems, namely Cantor''s continuum problem about the type of infinity of the real numbers, and the freedom from contradiction of the theory of real numbers. By 1963, it became clear that Hilbert''s first question could not be answered by any known means, half of the credit of this seeming faux pas going to Gödel. The second is a problem still wide open. Gödel worked on it for years, with no definitive results; The best he could offer was a start with the arithmetic of the entire numbers.

This book, Gödel''s lectures at the famous Princeton Institute for Advanced Study in 1941, shows how far he had come with Hilbert''s second problem, namely to a theory of computable functionals of finite type and a proof of the consistency of ordinary arithmetic. It offers indispensable reading for logicians, mathematicians, and computer scientists interested in foundational questions. It will form a basis for further investigations into Gödel''s vast Nachlass of unpublished notes on how to extend the results of his lectures to the theory of real numbers. The book also gives insights into the conceptual and formal work that is needed for the solution of profound scientific questions, by one of the central figures of 20th century science and philosophy.

Get Kurt Gödel by Jan von Plato at the best price and quality guaranteed only at Werezi Africa's largest book ecommerce store. The book was published by Springer Nature Switzerland AG and it has 133 pages.