Consistency of the Continuum Hypothesis
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A01=Kurt Godel
Absoluteness
Addition
Author_Kurt Godel
Axiom
Axiom of choice
Axiom of extensionality
Axiom of infinity
Axiomatic system
Boolean algebra (structure)
Category=PBCH
Constructible set (topology)
Continuum hypothesis
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Existence theorem
Existential quantification
Integer
Mathematical induction
Mathematical logic
Mathematics
Metatheorem
Order by
Ordinal number
Propositional function
Quantifier (logic)
Reductio ad absurdum
Requirement
Set theory
Theorem
Transfinite
Transfinite induction
Variable (mathematics)
Well-order
Product details
- ISBN 9780691079271
- Weight: 170g
- Dimensions: 152 x 229mm
- Publication Date: 21 Sep 1940
- Publisher: Princeton University Press
- Publication City/Country: US
- Product Form: Paperback
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Kurt Godel, mathematician and logician, was one of the most influential thinkers of the twentieth century. Godel 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 Gottingen. 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 Godel 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.
