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Re: Problems with Infinity?
Posted:
Feb 26, 2013 12:38 PM
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On Tue, 26 Feb 2013 00:51:32 -0600, Don Kuenz
<garbage@crcomp.net> wrote in <news:20130225b@crcomp.net> in
rec.arts.sf.written,sci.math:
[...]
> Answering my own question, Cantor's conjectures
Wrong word.
> 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, Aleph-0, holds countable infinity. The
> other set, Aleph-1, holds continuum infinity,
This is neither provable nor refutable from the usual axioms
of set theory.
> which includes Aleph-0, along with every possible
> arrangement of Aleph-0. The infinities of complex
> variables
As it stands, this is meaningless.
> belong to both sets, as does every other common
> infinity found in mathematical literature.
This is magnificently, catastrophically false.
[...]
Brian
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