> Note that there is some dispute in the mathematical world over how big
> c is.  Some suggest that it is a rather small infinite cardinal, possibly
> aleph-one, meaning the second smallest one (just above aleph-zero,
> which is the cardinality of the integers).  Others suggest that it may
> be larger, possibly much larger, bigger than aleph-(aleph-zero).
> Hal

My memory is fading somewhat about transfinite cardinal
numbers. However, it seems to me that c \leq \aleph_1. \aleph_1 is the
cardinality of the set of all sets of cardinalilty \leq\aleph_0. Since c
is the cardinality of the set of all subsets of N, which is a subset
of the set of all sets of cardinality \leq\aleph_0. 

What has never been proven is that c=\aleph_1, although it is widely

Dr. Russell Standish                    Director
High Performance Computing Support Unit,
University of NSW                       Phone 9385 6967
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