The Consistency Of The Axiom Of Choice And Of The Generalized Continuum Hypothesis With The Axioms Of Set Theory Second Printing
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The Consistency of the Axiom of Choice and of the Generalized Continuum hypothesis with the Axioms of Set Theory
Author | : Kurt Gödel |
Publsiher | : Princeton University Press |
Total Pages | : 80 |
Release | : 1940 |
Genre | : Logic, Symbolic and mathematical |
ISBN | : 9780691079271 |
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The consistency of the axiom of choice and of the generalized continuum hypothesis with the axioms of set theory
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Author | : Kurt Gödel |
Publsiher | : Unknown |
Total Pages | : 69 |
Release | : 1953 |
Genre | : Logic, Symbolic and mathematical |
ISBN | : OCLC:14339217 |
Download The consistency of the axiom of choice and of the generalized continuum hypothesis with the axioms of set theory Book in PDF, Epub and Kindle
The Consistency of the Axiom of Choice and of the Generalized Continuum hypothesis with the Axioms of Set Theory
![The Consistency of the Axiom of Choice and of the Generalized Continuum hypothesis with the Axioms of Set Theory](https://youbookinc.com/wp-content/uploads/2024/06/cover.jpg)
Author | : Anonim |
Publsiher | : Unknown |
Total Pages | : 69 |
Release | : 1940 |
Genre | : Electronic Book |
ISBN | : OCLC:867361731 |
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Foundations of Mathematics
Author | : Jack John Bulloff,Thomas Campell Holyoke,S.W. Hahn |
Publsiher | : Springer Science & Business Media |
Total Pages | : 207 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 9783642867453 |
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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.
Encyclopaedia of Mathematics Supplement III
Author | : Michiel Hazewinkel |
Publsiher | : Springer Science & Business Media |
Total Pages | : 564 |
Release | : 2007-11-23 |
Genre | : Mathematics |
ISBN | : 9780306483738 |
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This is the third supplementary volume to Kluwer's highly acclaimed twelve-volume Encyclopaedia of Mathematics. This additional volume contains nearly 500 new entries written by experts and covers developments and topics not included in the previous volumes. These entries are arranged alphabetically throughout and a detailed index is included. This supplementary volume enhances the existing twelve volumes, and together, these thirteen volumes represent the most authoritative, comprehensive and up-to-date Encyclopaedia of Mathematics available.
Consistency of the Continuum Hypothesis AM 3 Volume 3
Author | : Kurt Gödel |
Publsiher | : Princeton University Press |
Total Pages | : 69 |
Release | : 2016-03-02 |
Genre | : Mathematics |
ISBN | : 9781400881635 |
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Kurt Gödel, mathematician and logician, was one of the most influential thinkers of the twentieth century. Gödel fled Nazi Germany, fearing for his Jewish wife and fed up with Nazi interference in the affairs of the mathematics institute at the University of Göttingen. In 1933 he settled at the Institute for Advanced Study in Princeton, where he joined the group of world-famous mathematicians who made up its original faculty. His 1940 book, better known by its short title, The Consistency of the Continuum Hypothesis, is a classic of modern mathematics. The continuum hypothesis, introduced by mathematician George Cantor in 1877, states that there is no set of numbers between the integers and real numbers. It was later included as the first of mathematician David Hilbert's twenty-three unsolved math problems, famously delivered as a manifesto to the field of mathematics at the International Congress of Mathematicians in Paris in 1900. In The Consistency of the Continuum Hypothesis Gödel set forth his proof for this problem. In 1999, Time magazine ranked him higher than fellow scientists Edwin Hubble, Enrico Fermi, John Maynard Keynes, James Watson, Francis Crick, and Jonas Salk. He is most renowned for his proof in 1931 of the 'incompleteness theorem,' in which he demonstrated that there are problems that cannot be solved by any set of rules or procedures. His proof wrought fruitful havoc in mathematics, logic, and beyond.
From Dedekind to G del
Author | : Jaakko Hintikka |
Publsiher | : Springer Science & Business Media |
Total Pages | : 460 |
Release | : 2013-03-09 |
Genre | : Philosophy |
ISBN | : 9789401584784 |
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Discussions of the foundations of mathematics and their history are frequently restricted to logical issues in a narrow sense, or else to traditional problems of analytic philosophy. From Dedekind to Gödel: Essays on the Development of the Foundations of Mathematics illustrates the much greater variety of the actual developments in the foundations during the period covered. The viewpoints that serve this purpose included the foundational ideas of working mathematicians, such as Kronecker, Dedekind, Borel and the early Hilbert, and the development of notions like model and modelling, arbitrary function, completeness, and non-Archimedean structures. The philosophers discussed include not only the household names in logic, but also Husserl, Wittgenstein and Ramsey. Needless to say, such logically-oriented thinkers as Frege, Russell and Gödel are not entirely neglected, either. Audience: Everybody interested in the philosophy and/or history of mathematics will find this book interesting, giving frequently novel insights.
Mathematical Logic in the 20th Century
Author | : Gerald E. Sacks |
Publsiher | : World Scientific |
Total Pages | : 712 |
Release | : 2003 |
Genre | : Mathematics |
ISBN | : 9812564896 |
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This invaluable book is a collection of 31 important both inideas and results papers published by mathematical logicians inthe 20th Century. The papers have been selected by Professor Gerald ESacks. Some of the authors are Gdel, Kleene, Tarski, A Robinson, Kreisel, Cohen, Morley, Shelah, Hrushovski and Woodin.