On Sep 27, 2006, at 10:20 AM, Steven D'Aprano wrote:

On Wed, 27 Sep 2006 09:17:28 -0400, Roy Smith wrote:

Countless and uncountable are not the same thing.  The former simply means 
you haven't bothered to count them yet, which as a basis for number theory, 
sounds like it belongs in a Douglas Adams book.

You're thinking of "uncounted", which means "not counted yet". The
dictionary definition of countless is "too many to count" (Pocket Oxford),
which I suppose could be 11 for some people if they didn't take their
shoes and socks off. Mathematically, any finite integer is able to be
counted, so "countless" is equivalent to "infinite in number".

This is definitively faulty logic. The number could be countless do the other reasons
like time constraints and so on :)

Cheers

Tommy



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