Re: 2N=E

Chris M. Thomasson used his keyboard to write :

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:
>

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".

>
The sum keeps getting bigger and bigger, so in a sense, there is no sum?

In this case it is a series which is what mathematicians call adding up all of the terms of an infinite sequence. The sequence of partial sums must be convergent, and this one is not convergent. If it were convergent, then the limit of the sequence of partial sums would be considered to be the sum or value of the series.

However, each iteration is a sum and is a natural number? Any better this time? Or worse? ;^o

Not only a natural number, but a triangular number. It is a divergent sequence of triangular numbers.

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):

[...]