
Re: A very simple question to secondary school students?
Posted:
Nov 10, 2017 2:02 AM


>A real fictional crank (Zelos) who refuses to learn new matters and also lost his temper and starts biting everyone around that sees things independently from any wellestablished or fabricated and fake knowledge
Don't project your crankery on me. I do not subscribe to your idiocy.
>So, you claim that you constructed it say for any noncube integer as 2^{1/3},
We have, and guess what? It is the same fucking way as the squareroot!
>The real irrational number sqrt(85) is exactly the length of a diagonal of a rectangle with sides (6, 7) UNITS and NOTHING else, (FINISHED)
That is however not constructing it. You have assumed apriori it exists but not shown how you mathematicly construct it as a number.
>So what is your real irrational number say 10^{1/3}, the arithmetical cube root of (10)? Wonder!
If you want a geometric thing, the diagonal of a block with 2 by 5 by 1. However to any REAL mathematician, that does NOT constitute a construction of it.
>Can you describe it exactly the way I did? wonder!
Quite trivial but it is increadibly boring way that offers nothing of substance.
If you want to construct the real numbers we do the usual, let C be the set of all cauchy sequences of rational numbers, let I be the ideal of null sequences, then C/I is isomorphic to R when operations are pointwise. And to construct a sequence in the cuberoot equivalence class, we use one of the n'th root algorithms and we have the number.
This is a proper construction, not yoru garbage.

