Date: Feb 26, 2013 12:38 PM
Author: Brian M. Scott
Subject: Re: Problems with Infinity?
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