10/14/02
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Continuum Hypothesis
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•Many consider set theory as the most complex and the most beautiful creation of mathematical logic. But there are insurmountable problems when it deals with infinite sets. One of them is the Continuum Hypothesis. •A possible solution: Take aleph_1 as the set of all subsets of aleph_0 of cardinality aleph_0. •A plausible argument: The set of subsets of aleph_0 of cardinality aleph_0 is the largest set of subsets possible  within aleph_0. Hence, aleph_1 = 2^aleph_0.
•For a rigorous proof, click here.