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

On 11.01.2025 14:58, joes wrote:

Am Sat, 11 Jan 2025 12:44:59 +0100 schrieb WM:

∀n ∈ ℕ: |{1, 2, 3, ..., 2n}|/|{2, 4, 6, ..., 2n}| = 2.

Your claim does not hold for the sets.

That may be if sets are considered as more than their elements. My claims hold for all their elements.

 

My claim holds for all natnumbers only.

That's what I'm saying.

Me too.

No numbers are "created"

If all numbers are doubled, then larger numbers are created.
Their number remains the same but all odd numbers leave.

There is no "after" an infinity.

Wrong. 1 is after an infinity of (unit) fractions.
Regards, WM