In a message dated 04-27-03, Jasen Betts said to Fred Kantor:

 FK> That assumption that you can always add another point, means that
 FK> one element out of such a set is assumed to be one out of
 FK> arbitrarily many possibilities.

JB>yes.

 FK> For this reason, the amount of
 FK> information assumed to be represented by the designation of any
 FK> one specific such value appears as log_2(arbitrarily many), which,
 FK> in their mathematical picture, can be made bigger than any
 FK> particular value.

JB>yes, but innformation theory is not usually applied to elements of
JB>infinite sets.

 FK> 'Information theory' was based on such mathematics.

JB>yeah, it's main computer related uses are in error correction,
JB>and data compression,

If I understand correctly, using information bookkeeping supported 
by information mechanics, one can look at interesting questions in 
physics about amount and representation of information.

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