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re:pi compression
>
>>Since all possible finite bit strings are, by definition, contained
>>in the unending cavalcade of bits in pi,
>
>Definition? I have seen not this asserted even by theorem. Not
>surprising, since the statement is patently false. There are
>2^{\aleph_0} finite bit strings, and only \aleph_0 of those are
>subsequences of pi.
Um, it doesn't follow to me that it's _obvious_ that 2^Aleph_0 is
larger than Aleph_0.
It might be- but I'd like to see the proof.
Now, Aleph_0 ^ Aleph_0, on the other hand...
-Bill (wondering why this thread of recursively nonenumerable
transfinite ordinal stuff keeps cropping up in *all* his
mailing lists)