Date: Oct 6, 2017 8:57 AM
Author: bursejan@gmail.com
Subject: Re: Finally the discussion is over: S = Lim S is a bad definition.

Thats the same what Markus Klyver already told you
3 trillion times, namely Q-series need not have
a limit in Q. Here see for yourself:

1 + 1/2 - 1/8 + 1/16 - 5/128 + 7/256 ... = sqrt(2)

Each partial sum is from Q, i.e. is a rational number,
their values are, all from Q, aka rational numbers:

1
1 1/2
1 3/8
1 7/16
1 51/128
1 109/256
Etc...

Nevertheless the limit is not from Q, since sqrt(2)
is an irrational number, or in Euclid terms an
incommensurable magnitude ratio.

Got it?

Question: Why do you sign your posts with "Baboon",
is this the reason you don't understand real analysis?

Am Freitag, 6. Oktober 2017 13:36:11 UTC+2 schrieb John Gabriel:
> It applies to rational numbers that can't be measured in a given base.
> Incommensurable magnitudes cannot be measured.
>
> Baboon.