Kurt Gd̲el :: results on foundations /: Maria Hm̃een-Anttila, Jan von Plato, editors.

Hm̃een-Anttila, Maria,; Von Plato, Jan,

doi:10.1007/978-3-031-37875-1

Kurt Gd̲el : results on foundations / Maria Hm̃een-Anttila, Jan von Plato, editors.

Hm̃een-Anttila, Maria, editor.; Von Plato, Jan, editor.

2023

QA9

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Title

Kurt Gd̲el : results on foundations / Maria Hm̃een-Anttila, Jan von Plato, editors.

ISBN

9783031378751 (electronic bk.)
303137875X (electronic bk.)
9783031378744
3031378741

DOI

https://doi.org/10.1007/978-3-031-37875-1

Published

Cham : Springer, [2023]

Copyright

Language

English

Description

1 online resource (ix, 319 pages).

Item Number

10.1007/978-3-031-37875-1 doi

Call Number

QA9

Dewey Decimal Classification

511.3

Summary

Kurt Gd̲el (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 Gd̲el considered finished. Its main topic is set theory in which Gd̲el anticipated several decades of development. Secondly, Gd̲el 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 Gd̲el'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 Gd̲el prepared in 1946, and a list of an unknown date titled "The grand program of my research in ca. hundred questions.''.

Bibliography, etc. Note

Includes bibliographical references and index.

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Access limited to authorized users.

Source of Description

Online resource; title from PDF title page (SpringerLink, viewed July 26, 2023).

Added Author

Hm̃een-Anttila, Maria, editor.
Von Plato, Jan, editor.

Series

Sources and studies in the history of mathematics and physical sciences.

Available in Other Form

Print version: 9783031378744