Re: An uncountable countable set

In article <1154967767.420316.33010@xxxxxxxxxxxxxxxxxxxxxxxxxxxx>,
mueckenh@xxxxxxxxxxxxxxxxx wrote:

*** T. Winter schrieb:


No. As 0.111... has more index positions than each and every natural
number in unary notation, the natural indexes are not sufficient to
index 0.111... .

Just as N has more elements
than each and every indivual natural number is irrelevant.

This assertion is impossible. Compare the differences of 1 between the
naturals which would sum up to a natural number infinity if there were
infinitely many differences possible.

That makes no more sense that to say that the sum of infinitely
naturals being infinite prevents existence of infinitely many naturals.

Since the sum of more than two naturals must be a natural larger than
any of them, there are more than any finite number of naturals.

If "mueckenh" wishes to claim that "more than any finite number" is a
finite number, he should not try to do it in sci.math, as it only makes
him look foolish.
.

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