Re: how

Le 12/04/2024 à 16:40, Tom Bola a écrit :

WM schrieb:
 

Le 12/04/2024 à 15:56, Tom Bola a écrit :

WM schrieb:

 

Consider the set {1, 2, 3, ..., ω} and multiply every element by 2 with the result {2, 4, 6, ..., ω*2}. What elements fall between ω and ω*2?

 {w+1, w+2, w+3, ...}

 No, all elements emergeing from doubling have larger distances than 1.

 

What size has the interval between N*2 and ω*2?

 N*2 is not a number, so there is no interval between it and w*2

 N*2 is a set having elements but not including w*2. So there is a distance.

 This is wrong because there is a distance to any element of that set. But you probably are meaning the distance between the set limit of IN which is w and w*2

I am meaning the distance between N*2 and ω*2 after multiplication. Before, the distance between N and ω is zero.
Regards, WM