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*The Continuum Hypothesis:*

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A Look at the 20th Century

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History of the Real Numbers

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from Cantor to Cohen/Scott/Solovay.

Martin Flashman

Humboldt State University

Thursday, March 16, 2000
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Abstract

After Cantor first demonstrated that the real numbers
(continuum) were uncountable, the hypothesis arose that the set of the
real numbers was "the smallest" uncountable set.

In 1900 David Hilbert made settling the continuum hypothesis
the first problem on his now famous list of problems for this century.

Professor Flashman will discuss some of the historical,
philosophical, and mathematical developments connected to this problem
proceeding from proofs of uncountability to issues of consistency and models
and finally to a discussion of proofs of the independence of this hypothesis.

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