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continuum hypothesis

   Also found in: Acronyms, Encyclopedia, Wikipedia 0.01 sec.
continuum hypothesis
n
(Mathematics) Maths the assertion that there is no set whose cardinality is greater than that of the integers and smaller than that of the reals


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Still in typescript, this text contains the lecture notes for a course Cohen (1934-2007) taught at Harvard in spring 1965, shortly after his work on the continuum hypothesis.
Proving the truth or falsehood of Cantor's continuum hypothesis boils down to answering this: Where does the set of real numbers sit in the hierarchy of infinite sets?
The fourth problem is the Continuum Hypothesis, which concerns the comparability in size of infinite sets (some infinite sets are bigger than others, and it is unclear which is the second smallest).
 
 
 
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