Re: 2N=E

Liste des GroupesRevenir à s math 
Sujet : Re: 2N=E
De : chris.m.thomasson.1 (at) *nospam* gmail.com (Chris M. Thomasson)
Groupes : sci.math
Date : 07. Nov 2024, 22:08:10
Autres entêtes
Organisation : A noiseless patient Spider
Message-ID : <vgja7q$2q7c8$2@dont-email.me>
References : 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27
User-Agent : Mozilla Thunderbird
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?

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