Re: 2N=E

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Sujet : Re: 2N=E
De : invalid (at) *nospam* example.invalid (Moebius)
Groupes : sci.math
Date : 07. Nov 2024, 22:34:51
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <vgjbpr$2qng3$1@dont-email.me>
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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.)
>
 

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