
Re: Problems with Infinity?
Posted:
Feb 26, 2013 2:39 PM


In <20130225b@crcomp.net>, on 02/26/2013 at 12:51 AM, Don Kuenz <garbage@crcomp.net> said:
>Answering my own question, Cantor's conjectures concern set theory >and only tangentially touch on the infinities of complex variables. >Using beginner's language, Cantor uses two sets to define two levels >of infinity. One set, Aleph0, holds countable infinity. The other >set, Aleph1, holds continuum infinity, which includes Aleph0, along >with every possible arrangement of Aleph0.
No; Cantor's work on cardinality has nothing to do with Complex Analysis, And Aleph1 is not the cardinality unless you assume the Continuum Hypothesis. Aleph1 is simply the next cardinal after Aleph0. Without the Continuum Hypothesis, the power set of a countable set might have cardinality greater than Aleph1.
 Shmuel (Seymour J.) Metz, SysProg and JOAT <http://patriot.net/~shmuel>
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