Sujet : Re: how
De : wolfgang.mueckenheim (at) *nospam* tha.de (WM)
Groupes : sci.mathDate : 12. Apr 2024, 15:44:19
Autres entêtes
Organisation : Nemoweb
Message-ID : <c-i86HjQFZQU4KksHNolidtBjOA@jntp>
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User-Agent : Nemo/0.999a
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