Re: how

On 4/18/24 11:08 AM, WM wrote:

Le 18/04/2024 à 01:27, Phil Carmody a écrit :

Richard Damon <richard@damon-family.org> writes:

 

That means that YOUR logic system is proven INCONSISTENT, and thus
BLOWN UP.

>
And that is where the intrigue lies.

 My logic system says: ω is amidst the interval (0, ω2) because in the image of the function f(x) = x*2 there are as many ordinals in (ω, ω2) as in (0, ω).
 Regards, WM

And if your logic doesn't understand that the "ordinals" in (ω, ω*2) are different than those of (1, 2, 3, ...) it is just broken.
Any finite number *2 will be less than ω.
So, all you are doing is CONFIRMING that your logic can't actually handle the infinite sets you are using it on, and it has blown up.