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From: FromTheRafters <FTR@nomail.afraid.org>
Newsgroups: sci.math
Subject: Re: 2N=E
Date: Mon, 04 Nov 2024 16:14:18 -0500
Organization: Peripheral Visions
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on 11/4/2024, Chris M. Thomasson supposed :
> On 11/4/2024 5:26 AM, Moebius wrote:
>> Am 04.11.2024 um 10:26 schrieb Chris M. Thomasson:
>>> On 11/4/2024 12:45 AM, FromTheRafters wrote:
>>>> Chris M. Thomasson pretended :
>>>>> On 11/3/2024 2:40 PM, Chris M. Thomasson wrote:
>>>>>> On 11/3/2024 3:56 AM, WM wrote:
>> 
>>>>>>> If all naturals are there, then no further one is [bla bla bla].
>> 
>> That is implied by the MEANING of /all/. HOLY SHIT!!!
>> 
>>>>>> Sigh. There are infinite natural numbers, there is no last largest one.
>> 
>> "infinite" => "infinitely many"
>> 
>>>>> I should say infinitely many natural numbers... Sorry! ;^o
>> 
>> Right.
>> 
>>>> Yeah, it is best to use the words 'set of' when 'all' is invoked. The set 
>>>> of all natural numbers is infinite while each and every one of the 
>>>> elements is finite. In that sense (the set of) 'all' is different from 
>>>> 'each' and 'every'.
>>>
>>> Each and every natural number is in all of them and vise versa? Fair 
>>> enough?
>> 
>> Nope.
>> 
>> Each and every natural number is in THE SET OF all of them.
>> 
>> 
>
> Agreed. For some reason, I was just thinking of the infinite and different 
> ways to represent 1.
>
> 1 = 1*1
> 1 = 1*2 - 1*1
> 1 = 1*3 - 1*2
> 1 = 4-3
> 1 = 3 - 1 - 1
> 1 = 3 - 2
> ...
>
> lol. ;^) These are using all natural numbers. Any of them will do:
>
> 1 = 42-41
>
> So, in this like of thinking 1 can be comprised of math in multiple ways? Is 
> that a fucked up line of thinking? ;^o

No, that's good. That is why I mentioned partitioning, finding how many 
ways a certain natural number can expressed using addition.