Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Topic: Why do we need those real non-constructible numbers?
Replies: 68   Last Post: Dec 11, 2017 1:42 AM

 Messages: [ Previous | Next ]
 genmailus@gmail.com Posts: 323 Registered: 8/18/16
Re: Why do we need those real non-constructible numbers?
Posted: Nov 14, 2017 1:33 PM

On Monday, 13 November 2017 11:30:19 UTC-5, bassam king karzeddin wrote:

> So, continuity doesn't exist because infinity doesn't exist either, and the assumption of existence of continuity was a total brain fart, but an artificial deliberate continuity was adopted by fabricating those (Epsilon-Delta) Distances just for practical needs which aren't truly any mathematics for sure

Epsilonics are just a ruse from what's really going on: the inability of anyone before me to formulate a rigorous calculus.

You see, if you try to emulate the new calculus using the bogus mainstream formulation, you get for f(x)=x^2:

f'(x) = lim_{h -> 0} 2x + Q(h) where Q(h) = h

In the bogus calculus Q(h) is meaningless bullshit, but let's set it to zero as we can do in the rigorous new calculus, then f'(x)=2x+h = 2x+0 = 2x.

Setting h=0 is EQUIVALENT to finding the limit!

But that is banned terminology. You can say things like:

i. The value approached by the finite differences is the derivative/limit.
ii. As the distance is made arbitrarily small between f(x) and L, then the distance between x and c (point of tangency) also gets close to 0.
iii. 0<|x-c|<delta => |f(x)-L|<epsilon where epsilon>0 and delta>0. This is required just in case the orangutans need to have a hole at c.

At the end of the day, all that is being said is that setting h=0 produces the limit. (iii) is often misunderstood especially by morons on the internet as being a definition, but it is nothing of the sort. It's merely a "verifinition",
that is, a restatement of what is actually being done: showing that L is the right guess. It's very circular and rigour has nothing to do with it.

> BKK

Date Subject Author
11/6/17 bassam king karzeddin
11/6/17 wolfgang.mueckenheim@hs-augsburg.de
11/8/17 bassam king karzeddin
11/8/17 wolfgang.mueckenheim@hs-augsburg.de
11/8/17 bursejan@gmail.com
11/8/17 bursejan@gmail.com
11/8/17 wolfgang.mueckenheim@hs-augsburg.de
11/8/17 bursejan@gmail.com
11/8/17 bursejan@gmail.com
11/9/17 bassam king karzeddin
11/9/17 zelos.malum@gmail.com
11/9/17 bassam king karzeddin
11/9/17 bassam king karzeddin
11/9/17 wolfgang.mueckenheim@hs-augsburg.de
11/9/17 bassam king karzeddin
11/9/17 wolfgang.mueckenheim@hs-augsburg.de
11/13/17 bassam king karzeddin
11/14/17 wolfgang.mueckenheim@hs-augsburg.de
11/14/17 genmailus@gmail.com
11/14/17 bursejan@gmail.com
11/14/17 bursejan@gmail.com
11/6/17 Stephen G. Giannoni
11/6/17 zelos.malum@gmail.com
11/7/17 bassam king karzeddin
11/9/17 zelos.malum@gmail.com
11/8/17 jsavard@ecn.ab.ca
11/8/17 bassam king karzeddin
11/8/17 Jim Burns
11/9/17 wolfgang.mueckenheim@hs-augsburg.de
11/8/17 Jan Burse
11/8/17 Dan Christensen
11/8/17 Dan Christensen
11/8/17 wolfgang.mueckenheim@hs-augsburg.de
11/8/17 bursejan@gmail.com
11/8/17 bursejan@gmail.com
11/8/17 Jan Burse
11/8/17 Jan Burse
11/11/17 bassam king karzeddin
11/11/17 zelos.malum@gmail.com
11/9/17 wolfgang.mueckenheim@hs-augsburg.de
11/9/17 Tucsondrew@me.com
11/9/17 wolfgang.mueckenheim@hs-augsburg.de
11/9/17 wolfgang.mueckenheim@hs-augsburg.de
11/8/17 Dan Christensen
11/9/17 wolfgang.mueckenheim@hs-augsburg.de
11/9/17 Tucsondrew@me.com
11/9/17 Dan Christensen
11/9/17 wolfgang.mueckenheim@hs-augsburg.de
11/9/17 Dan Christensen
11/10/17 wolfgang.mueckenheim@hs-augsburg.de
11/10/17 Dan Christensen
11/11/17 wolfgang.mueckenheim@hs-augsburg.de
11/11/17 zelos.malum@gmail.com
11/11/17 wolfgang.mueckenheim@hs-augsburg.de
11/8/17 Peter Percival
11/11/17 bassam king karzeddin
11/11/17 zelos.malum@gmail.com
11/15/17 bassam king karzeddin
11/15/17 Dan Christensen
11/15/17 zelos.malum@gmail.com
11/27/17 bassam king karzeddin
11/29/17 rebatchelor2@gmail.com
11/30/17 bassam king karzeddin
12/1/17 zelos.malum@gmail.com
12/2/17 bassam king karzeddin
12/4/17 zelos.malum@gmail.com
12/6/17 bassam king karzeddin
12/9/17 bassam king karzeddin
12/11/17 zelos.malum@gmail.com