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Title Foundations of Mathematics [electronic resource] : Symposium Papers Commemorating the Sixtieth Birthday of Kurt Gรถdel / edited by Jack J. Bulloff, Thomas C. Holyoke, Samuel W. Hahn Berlin, Heidelberg : Springer Berlin Heidelberg, 1969 http://dx.doi.org/10.1007/978-3-642-86745-3 XII, 196 p. 2 illus. online resource

SUMMARY

Dr. KURT GODEL'S sixtieth birthday (April 28, 1966) and the thirtyยญ fifth anniversary of the publication of his theorems on undecidability were celebrated during the 75th Anniversary Meeting of the Ohio Acยญ 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

Realism as a Philosophy of Mathematics -- The Undecidability of ?K-Conversion -- The Definability of Cardinal Numbers -- The Use of Symbolic Logic in Proving Mathematical Theorems by Means of a Digital Computer -- A New Approach to the Foundations of Probability -- Measure-Theoretic Uniformity -- On the Cardinality of $$\sum\nolimits_2̂1 {}$$ Sets of Reals -- The Universe of Set Theory -- Definition eines (relativ vollstรคndigen) formalen Systems konstruktiver Arithmetik

Mathematics Mathematical logic Gravitation Mathematics Mathematical Logic and Foundations Classical and Quantum Gravitation Relativity Theory

Location

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