Paul Rubin wrote:
> Mark Dickinson <[EMAIL PROTECTED]> writes:
>>> But the IEEE standard only supports one of them, aleph(0).
>>> Technically two: plus and minus aleph(0).
>> Not sure that alephs have anything to do with it.
> 
> They really do not.  The extended real line can be modelled in set
> theory, but the "infinity" in it is not a cardinal as we would
> normally treat them in set theory.

Georg Cantor disagrees.  Whether Aleph 1 is the cardinality of the set 
of real numbers is provably undecidable.

http://mathworld.wolfram.com/ContinuumHypothesis.html
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