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From: Moebius <invalid@example.invalid>
Newsgroups: sci.math
Subject: Re: 2N=E
Date: Thu, 7 Nov 2024 22:34:51 +0100
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Am 07.11.2024 um 22:08 schrieb Chris M. Thomasson:
> On 11/6/2024 4:07 PM, Moebius wrote:
>> Am 06.11.2024 um 22:04 schrieb Chris M. Thomasson:
>>
>>> sum [series],
>>>
>>> 1+2+3+4+5+6+...
>>
>> is not a natural number. :-P
> 
> Since there is no largest natural number, the sum is a natural number?

Nope. There simply is no "sum".

>> See: https://en.wikipedia.org/wiki/Series_(mathematics)
>>
>>> It still equals a natural number at every iteration.

Right. Using the usual math lingo (and notions):

>> I guess, what you mean is:
>>
>> For all n e IN:
>>
>>         1 + ... + n
>>
>> is a natural number (i.e. in IN).
>>
>> Yeah. (Simple proof by induction.)
>>
>