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

On 17.12.2024 18:07, joes wrote:

Am Tue, 17 Dec 2024 10:13:48 +0100 schrieb WM:

Every element is the last element of a FISON [1, n]. ℕ is the set of all
FISONs.

No, it is the union.

It is also the set because every FISON can represent one natnumber.

 

I use all FISONs.

No, you don’t. N is not a FISON.

It is all FISONs.

 

All intervals do it because there is no n outside of all intervals [1,
n]. My proof applies all intervals.

And all the intervals are finite, and thus not the INFINITE set N,
which is where the bijection occurs.

According to Cantor the "bijection" uses all n and nothing more.

What else do you think it uses?

You claimed that he uses more than I do, namely all natural numbers.
Regards, WM