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.