
Re: Problems with Infinity?
Posted:
Apr 11, 2013 8:52 PM


On Thu, 11 Apr 2013 20:40:31 0400, Walter Bushell <proto@panix.com> wrote in <news:protoE08F93.20403111042013@news.panix.com> in rec.arts.sf.written,sci.math:
> In article <512CA332.AD4F7ABA@btinternet.com>, > Frederick Williams <freddywilliams@btinternet.com> wrote:
>> That the cardinality of the continuum (c = 2^{aleph_0}) >> is equal to aleph_1 is Cantor's continuum hypothesis >> which modern set theory settles neither one way nor the >> other.
> Does anyone care.
Yes.
> That is do any important results hang on either one?
There are results in a variety of fields, from commutative algebra through functional analysis and topology to complex analysis, that depend on CH. Some of them involve questions of a fairly fundamental character.
Brian

