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

Moebius wrote :

Am 03.01.2025 um 02:37 schrieb Chris M. Thomasson:

On 1/2/2025 5:43 AM, FromTheRafters wrote:

WM used his keyboard to write :

On 01.01.2025 15:47, FromTheRafters wrote:

WM wrote :

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The [set] of [...] natural numbers [...] is closed under multiplication. (WM)

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Indeed!
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For all n,m e IN: n*m e IN.
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Mückenheim is the master!
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How can that be? (From the After)

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Well, it's a simple fact which can be proved (based on the Peano Axioms and the definition of * on IN).

I'm aware of that fact, but WM's "definable" naturals are supposedly a finite subset of the naturals -- which are not an infinite set, which makes either his statement wrong or his notion of growing finite subsets wrong.

Nonsense.
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Easy, he stood on a chair. (From the After)

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He? WM?
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lol! ;^)

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Sorry, but I'm lost.

A punchline from an old non-joke.
'Did you hear about the man who could lick his own forehead?'
'No, how is that even possible?'
'Easy, he stood on a chair.'
Basically, it was just nonsense meaning his response was non-responsive.