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From: FromTheRafters <FTR@nomail.afraid.org>
Newsgroups: sci.math
Subject: Re: 2N=E
Date: Mon, 04 Nov 2024 16:10:33 -0500
Organization: Peripheral Visions
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It happens that Chris M. Thomasson formulated :
> On 11/4/2024 3:34 AM, FromTheRafters wrote:
>> on 11/4/2024, Chris M. Thomasson supposed :
>>> On 11/4/2024 1:26 AM, Chris M. Thomasson wrote:
>>>> 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:
>>>>>>>> On 03.11.2024 09:50, joes wrote:
>>>>>>>>> pparently you do think that there is a
>>>>>>>>> natural n such that 2^n is infinite.
>>>>>>>>
>>>>>>>> If all naturals are there, then no further one is available.
>>>>>>>
>>>>>>> Sigh. There are infinite natural numbers, there is no last largest 
>>>>>>> one.
>>>>>>
>>>>>> I should say infinitely many natural numbers... Sorry! ;^o
>>>>>>
>>>>>> Damn it. :^)
>>>>>
>>>>> 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?
>>>
>>> For instance 2 = 2 wrt the vise versa comment.
>> 
>> All attendees of the dinner went to an after party, each and every one of 
>> them got sloshed. This indicates that 'each and every' equals 'all' in 
>> normal parlance. Not the same in set theory, 'all' means 'each and every 
>> element' taken as a single entity called a set. Such set can have different 
>> properties from the elements belonging to it.
>> 
>> So, I'm at odds with the vice versa comment unless it is meant as normal 
>> parlance.
>
> It was just a free thinking thought. Perhaps humm...
>
> Every natural number is finite, but there are infinite ways to represent a 
> natural number? Crap, or kind of crap? ;^)

Sure, base one, base two, base three, just to name a few. :)