Re: An uncountable countable set

mueckenh@xxxxxxxxxxxxxxxxx wrote:
Franziska Neugebauer schrieb:
Right! There are more than any finite number of finite
naturals, indeed, an endless supply of them which collectively
form an infinite set.

There is no "supply". The elements of a set do exist,
instantaneously and immediately. Sets are static.

Sudden insight?

Clever application of different standpoints.

So the elements of omega do exist "statically"?

Neither nor. But if one claims their existence, I reserve the right to
let them exist at my convenience.

This is acceptable when doing proofs by contradiction or when you argue
within a special context. If you claim "The elements of a set do exist"
and "Elements of omega do neither exist nor exist statically" in the
*same* context and simultaneously then you violate the law of
noncontradiction.

F. N.
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