Book Description Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Paris of the year 1900 left two landmarks: theTour Eiffel,and David Hilbert's celebrated list of twenty-four mathematical problems presented at a conference opening the new century. Kurt G�del, a logical icon of that time, showed Hilbert's ideal of complete axiomatization of mathematics to be unattainable. The result, of 1931, is called G�del'sincompleteness theorem. G�del then went on to attack Hilbert's first and second Paris problems, namely Cantor'scontinuum problemabout 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 seemingfaux pasgoing to G�del. The second is a problem still wide open. G�del 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, G�del'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 It will form a basis for further investigations into G�del's vast Nachlass of unpublished notes on how to extend the results of his lectures to the theory of real numbers.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. 144 pp. Englisch. Seller Inventory # 9783030872953

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Kurt G�del : The Princeton Lectures on Intuitionism

Jan Von Plato

Published by Springer International Publishing (2021)

ISBN 10: 3030872955 ISBN 13: 9783030872953

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AHA-BUCH GmbH
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Book Description Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - Paris of the year 1900 left two landmarks: theTour Eiffel,and David Hilbert's celebrated list of twenty-four mathematical problems presented at a conference opening the new century. Kurt G�del, a logical icon of that time, showed Hilbert's ideal of complete axiomatization of mathematics to be unattainable. The result, of 1931, is called G�del'sincompleteness theorem. G�del then went on to attack Hilbert's first and second Paris problems, namely Cantor'scontinuum problemabout 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 seemingfaux pasgoing to G�del. The second is a problem still wide open. G�del 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, G�del'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 G�del'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. Seller Inventory # 9783030872953

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Kurt Goedel

Published by Springer International Publishing (2021)

ISBN 10: 3030872955 ISBN 13: 9783030872953

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Book Description Gebunden. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Offers indispensable reading for mathematicians and computer scientistsGives insights into thework that is needed to solve scientific questionsForms a basis for further investigations into Goedel s vast collection of unpublished notes. Seller Inventory # 495743196

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