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Date: Fri, 12 Apr 24 15:26:23 +0000
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From: WM <wolfgang.mueckenheim@tha.de>

Le 12/04/2024 à 17:00, Tom Bola a écrit :
> 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} 

Why are the distances below ω 2 but beyond ω 1?

Regards, WM