Re: how

On 4/22/24 10:15 AM, WM wrote:

Le 20/04/2024 à 20:47, Richard Damon a écrit :

On 4/20/24 2:31 PM, WM wrote:

 

The interval (0, ω2) is covered by {2, 4, 6, ...}.
>

But that interval would be actually { 1, 2, 3, 4, 5, 6, ..., ω, ω+1, ω+2, ...}
>
so, the interval notation is just incorrect as it includes members that aren't in the actual resutls.
>
So yes, the results are IN the interval, but are NOT THE interval.

 The results cannot be compressed to the interval (0, ω) of the set { 1, 2, 3, ...}. This shows that new numbers are generated by multiplication.
 Regards, WM
 

Of course they can be compressed into the interval (0, ω), as every finite number n < ω, when doubled results in a finite number 2n which is also < ω.
Name one that can't be!
Your logic just blows you up because it doesn't understand the nature of unbounded infinite sets.
You invent "dark" numbers, because you can't look at the nature of the unbounded because you are blinded by your finite logic that has blown your logic to smiterines because you used it when it can't work.