Re: how

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 which I wrote down above already: {w+1, w+2, w+3, ...,}.