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.''
General
| Imprint: |
Springer International Publishing AG
|
| Country of origin: |
Switzerland |
| Series: |
Sources and Studies in the History of Mathematics and Physical Sciences |
| Release date: |
July 2023 |
| First published: |
2023 |
| Editors: |
Maria Hämeen-Anttila
• Jan von Plato
|
| Dimensions: |
235 x 155mm (L x W) |
| Pages: |
319 |
| Edition: |
1st ed. 2023 |
| ISBN-13: |
978-3-03-137874-4 |
| Categories: |
Books
Promotions
|
| LSN: |
3-03-137874-1 |
| Barcode: |
9783031378744 |
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