Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)

On 2024-12-15 11:03:27 +0000, WM said:
 

Of course. It consist of all finite n. It is the union of all intervals (0, n]. Not more!

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But the set of Natural Numbers isn't built that way.

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You are misinformed. The set of natural numbers is the union of all FISONs F(n) = {1, 2, 3, ..., n} = (0, n].
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From where did this concept come from?

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The set of FISONs is the set of natural numbers designed by v. Neumann.

 The construction of natural numbers as sets was presented by Cantor
(apparently as a comment to Kronecker's "God made the integers, all
else is the work of man").