1.0 The definitions used in Mathematics have no rigor
The mathematicians routinely boast that Mathematics is a discipline of rigorous definitions:
- “ math is about making definitions” [1]
“ mathematics requires more precision than everyday speech. Mathematicians
refer to this precision of language and logic as ‘rigor’.” [2]
This would truly be a noble pursuit if it didn't amount to false advertising. The mathematicians rarely if ever
define any of their words unambiguously, especially the strategic words that make or break their theories.
Two words that they have given up on are point and line.
- “ Points, lines, and planes are the foundations of the whole system of geometry…
But point, line, and plane are all undefined terms.” [3]
- The mathematicians allege that they don't define these enigmatic words for fear of ending up with circular
arguments:
- “ In mathematics, it becomes the requirement that we only use words that are
previously defined or intentionally left undefined. We must have some undefined
words in order to avoid an infinite process of definitions or a circular chain of
definitions.” [4]
I reach a diametrical opinion. If Einstein's General Relativity and the Susskind-Schwarz-Green-Witten String
Theory are founded on undefined terms, we must conclude that the mathematicians have no idea what they
are talking about:
- “ mathematics may be defined as the subject in which we never know what we are
talking about, nor whether what we are saying is true.” [5]
By leaving the crucial words that make or break their presentations undefined, they guarantee that they
have not communicated with the audience.
2.0 A mathematician boasts that he is intelligent, yet he doesn't know what a line is
A line is one of the simplest geometric figures known to Man. Why would a mathematician have so much
trouble with it? Don't you know what a line is? If I ask you to draw a straight line for me, would you know
what to do? What would you draw? Would you confuse it with an elephant or with a rocket? Do you think
you could identify a line in a multiple choice question where the options are a horse, a house, a tree, a line,
and all of the above (Fig. 1)? Why then can't a mathematician do what you just did if he's so intelligent?
| The Primitive Line |
| Adapted for the Internet from: Why God Doesn't Exist |
Fig. 1 Choices, choices! The mathematicians say that they don't know what a line is. Do you think you could help Dr. Einstein identify the line in his difficult multiple choice quiz? |
| What a savage! He confuses a line for a stick and a point for a dot. Will the masses ever come up to speed? |
| Mmmh. Long stick mean line. And black smudge mean point on line. |
| To think tribes in city say line primitive! Ha, ha, ha! |
| It's piece of cake! |
- Module main page: A line is NOT the shortest distance between two points
Pages in this module:
- 1. This page: The primitive line
2. Endless breath: Euclid's breadthless length
3. The hinge
4. Hilbert's two bit line
5. Is a line continuous or segmented?
6. Weyl's shortest distance
7. Hawking's geodesic
8. Anderson's footprints
9. Weyl's idiotic all-in-one line
10. The equation line
11. So then, what is a line?
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- Copyright © by Nila Gaede 2008