Re: An uncountable countable set


Virgil schrieb:

In article <1155209478.553820.256460@xxxxxxxxxxxxxxxxxxxxxxxxxxxx>,
mueckenh@xxxxxxxxxxxxxxxxx wrote:

Virgil schrieb:

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

and not less

than to say that the sum of infinitely
naturals being infinite prevents existence of infinitely many naturals.

Correct. Both conclusions are identical.

And false.

An infinite sum of 1's is not infinite?

Regards, WM

.

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