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From: Tom Bola <Tom@bolamail.etc>
Newsgroups: sci.math
Subject: Re: how
Date: Fri, 12 Apr 2024 17:00:27 +0200
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WM schrieb:

> 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. 

Yes, that is the set after multiplication: 
{0, 2, 4, 6, ..., w, w+1, w+2, w+3, ..., w*2} 

And thats it to that "multiplication case".