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Catalogue Information
Field name	Details
Dewey Class	510.9
Title	Kurt Gödel: Results on Foundations (EBook /) / edited by Maria Hämeen-Anttila, Jan von Plato.
Added Personal Name	Hämeen-Anttila, Maria
Added Personal Name	von Plato, Jan
Other name(s)	SpringerLink (Online service)
Edition statement	1st ed. 2023.
Publication	Cham : : Springer Nature Switzerland : : Imprint: Springer, , 2023.
Physical Details	IX, 319 p. : online resource.
Series	Sources and studies in the history of mathematics and physical sciences 2196-8829
ISBN	9783031378751
Summary Note	Kurt Gödel (1906-1978) gained world-wide fame by his incompleteness theorem of 1931. Later, he set as his aim to solve what are known as Hilbert's first and second problems, namely Cantor's continuum hypothesis about the cardinality of real numbers, and secondly the consistency of the theory of real numbers and functions. By 1940, he was halfway through the first problem, in what was his last published result in logic and foundations. His intense attempts thereafter at solving these two problems have remained behind the veil of a forgotten German shorthand he used in all of his writing. Results on Foundations is a set of four shorthand notebooks written in 1940-42 that collect results Gödel considered finished. Its main topic is set theory in which Gödel anticipated several decades of development. Secondly, Gödel completed his 1933 program of establishing the connections between intuitionistic and modal logic, by methods and results that today are at the same time new and 80 years old. The present edition of Gödel's four notebooks encompasses the 368 numbered pages and 126 numbered theorems of the Results on Foundations, together with a list of 74 problems on set theory Gödel prepared in 1946, and a list of an unknown date titled "The grand program of my research in ca. hundred questions.''.:
Contents note	Preface -- Part I. Gödel's Results on Foundations -- Part II. Resultats on Foundations -- Part III. Additional Items and Problem Lists -- Index of names in the Resultate Grundlagen.
Mode of acces to digital resource	Digital reproduction.-
	Cham :
	Springer International Publishing,
	2023. -
	Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	https://doi.org/10.1007/978-3-031-37875-1
Links to Related Works	Subject References: History . History of Mathematical Sciences . Mathematical logic . Mathematical Logic and Foundations . Mathematics . Authors: editor . Hämeen-Anttila, Maria . von Plato, Jan . Corporate Authors: SpringerLink (Online service) . Series: Sources and studies in the history of mathematics and physical sciences . Classification: 510.9 .

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Kurt Gödel: Results on Foundations

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