Kurt Gödel : The Princeton lectures on intuitionism / Maria Hämeen-Anttila, Jan von Plato, editors.
Gödel, Kurt.; Hämeen-Anttila, Maria.; Von Plato, Jan.
2021
QA9.65
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Title Kurt Gödel : The Princeton lectures on intuitionism / Maria Hämeen-Anttila, Jan von Plato, editors.
Author Gödel, Kurt.
ISBN 9783030872960 (electronic bk.)
3030872963 (electronic bk.)
3030872955
9783030872953
DOI https://doi.org/10.1007/978-3-030-87296-0
Publication Details Cham, Switzerland : Springer, 2021.
Language English
Description 1 online resource (141 pages)
Item Number 10.1007/978-3-030-87296-0 doi
Call Number QA9.65
Dewey Decimal Classification 511.3
Summary 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 Godel, a logical icon of that time, showed Hilbert's ideal of complete axiomatization of mathematics to be unattainable. The result, of 1931, is called Godel's incompleteness theorem. Godel 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 Godel. The second is a problem still wide open. Godel 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, Godel'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 It will form a basis for further investigations into Godel's vast Nachlass of unpublished notes on how to extend the results of his lectures to the theory of real numbers.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.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Digital File Characteristics PDF
text file
Source of Description Online resource; title from PDF title page (SpringerLink, viewed January 19, 2022).
Added Author Hämeen-Anttila, Maria.
Von Plato, Jan.
Series Sources and studies in the history of mathematics and physical sciences.
Available in Other Form Kurt Gödel
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Record Appears in Online Resources > Ebooks
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Gödel's Functional Interpretation in Context
Part I: Axiomatic Intuitionist Logic
Part II: The Functional Interpretation
References
Name Index.

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