Ebook: Foundations of Mathematics: Symposium Papers Commemorating the Sixtieth Birthday of Kurt Gödel
- Tags: Mathematics general
- Year: 1969
- Publisher: Springer-Verlag Berlin Heidelberg
- Edition: 1
- Language: English-German
- pdf
Dr. KURT GODEL'S sixtieth birthday (April 28, 1966) and the thirty fifth anniversary of the publication of his theorems on undecidability were celebrated during the 75th Anniversary Meeting of the Ohio Ac ademy of Science at The Ohio State University, Columbus, on April 22, 1966. The celebration took the form of a Festschrift Symposium on a theme supported by the late Director of The Institute for Advanced Study at Princeton, New Jersey, Dr. J. ROBERT OPPENHEIMER: "Logic, and Its Relations to Mathematics, Natural Science, and Philosophy." The symposium also celebrated the founding of Section L (Mathematical Sciences) of the Ohio Academy of Science. Salutations to Dr. GODEL were followed by the reading of papers by S. F. BARKER, H. B. CURRY, H. RUBIN, G. E. SACKS, and G. TAKEUTI, and by the announcement of in-absentia papers contributed in honor of Dr. GODEL by A. LEVY, B. MELTZER, R. M. SOLOVAY, and E. WETTE. A short discussion of "The II Beyond Godel's I" concluded the session.
Content:
Front Matter....Pages I-XII
Realism as a Philosophy of Mathematics....Pages 1-9
The Undecidability of ?K-Conversion....Pages 10-14
The Definability of Cardinal Numbers....Pages 15-38
The Use of Symbolic Logic in Proving Mathematical Theorems by Means of a Digital Computer....Pages 39-45
A New Approach to the Foundations of Probability....Pages 46-50
Measure-Theoretic Uniformity....Pages 51-57
On the Cardinality of $ sum_2^1 $ Sets of Reals....Pages 58-73
The Universe of Set Theory....Pages 74-128
Definition eines (relativ vollst?ndigen) formalen Systems konstruktiver Arithmetik....Pages 130-195
Content:
Front Matter....Pages I-XII
Realism as a Philosophy of Mathematics....Pages 1-9
The Undecidability of ?K-Conversion....Pages 10-14
The Definability of Cardinal Numbers....Pages 15-38
The Use of Symbolic Logic in Proving Mathematical Theorems by Means of a Digital Computer....Pages 39-45
A New Approach to the Foundations of Probability....Pages 46-50
Measure-Theoretic Uniformity....Pages 51-57
On the Cardinality of $ sum_2^1 $ Sets of Reals....Pages 58-73
The Universe of Set Theory....Pages 74-128
Definition eines (relativ vollst?ndigen) formalen Systems konstruktiver Arithmetik....Pages 130-195
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