Kurt Goedel

Name: Kurt Goedel
Brand: Springer Nature Switzerland AG
SKU: 9783030872953
Price: 315.15 RON
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The Princeton Lectures on Intuitionism

Autor: Maria Hämeen-Anttila

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Editura: Springer Nature Switzerland AG

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Paris of the year 1900 left two landmarks: the Tour Eiffel, and David Hilbert's celebrated list of t...

Informații despre carte

Autor

Maria Hämeen-Anttila

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

2021

Pagini

133

EAN

9783030872953

ISBN

3030872955

Enbook ID

38438022

Editura

Springer Nature Switzerland AG

Greutate

389

Dimensiuni

155 x 235 x 14

Descriere completă

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 It will form a basis for further investigations into Gödel's vast Nachlass of unpublished notes on how to extend the results of his lectures to the theory of real numbers.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.

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Kurt Goedel

The Princeton Lectures on Intuitionism

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