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

On 1/9/25 5:34 PM, WM wrote:

On 09.01.2025 22:15, joes wrote:

Am Thu, 09 Jan 2025 10:34:42 +0100 schrieb WM:

 

There is an infinite sequence of
infinite segments.

 You cannot cut the set of natural numbers at any position to get two infinite sets. Infinite sequence means no content. Infinite content (content at all) means no infinite sequence.
 REgards, WM
  

Sure you can, you just need a special knife, like one that separates the odds from the evens.
If you mean you can not choose a finite number and have an infinite set of all numbers less than that, you are correct, and the fact that your logic implies that you think you should be able to do that, just show how badly your "logic" has blown itself up to smithereens on its inconsistancy.
You just don't unde=rstand what infinity means, and are too stupid to see your stupidity.