Re: 2N=E

On 11/7/2024 1:34 PM, Moebius wrote:

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:
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sum [series],
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1+2+3+4+5+6+...

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is not a natural number. :-P

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Since there is no largest natural number, the sum is a natural number?

 Nope. There simply is no "sum".

The sum keeps getting bigger and bigger, so in a sense, there is no sum? However, each iteration is a sum and is a natural number? Any better this time? Or worse? ;^o

 

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

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

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