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From: Tom Bola <Tom@bolamail.etc>
Newsgroups: sci.math
Subject: Re: how
Date: Fri, 12 Apr 2024 23:51:01 +0200
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Chris M. Thomasson schrieb:

> On 4/12/2024 6:56 AM, Tom Bola wrote:
>> WM schrieb:
>> 
>>> Le 11/04/2024 à 19:36, Jim Burns a écrit :
>>>> On 4/11/2024 8:07 AM, WM wrote:
>>>
>>>>>> Which ones were unused by e = 2*n?
>>>>>
>>>>> Those of {1, 2, 3, ...} with less than ℵo successors.
>>>>
>>>> {1,2,3,…} is
>>>> the least.upper.bound of all finiteⁿᵒᵗᐧᵂᴹ.{1,2,3,…,k}
>>>
>>> Yes, but many natnumbers will never be used.
>>>
>>>> For each m ∈ {1,2,3,…}:
>>>> ( for each k ∈ {1,2,3,…}
>>>> m+k is a successor of m in {1,2,3,…} )
>>>
>>> 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, ...,}
>> 
>>> 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
> 
> Why does WM _continue_ to think that infinity is some "really" huge 
> number? We have tried to help him out with this...

Probably because he can't stand that idea...