Search All of the Math Forum:
Views expressed in these public forums are not endorsed by
NCTM or The Math Forum.


Hecman Gun
Posts:
36
From:
Somewhere farther than where Lewis Carroll trotted
Registered:
4/28/09


Re: Quote to consider from mathematician & philosopher, Leibniz
Posted:
Dec 25, 2009 7:34 PM


I'll start talking from whether math is invented or discovered. This is just a personal belief, and thus only represents what kind of person you are. Nothing more. Kind of like "Is the glass of water half full or half empty" except here we deal with pride(?) or anyway you feel about math. But what if we shift to something more artificial, more manmade? Take legos. And take something you build from it. Are these legomade creations invented or discovered?
Also, I would hold that math is discovered. More as in math is the language in which man attempts to approach everything by axioms and thus proceed from it with full rationality. It is only artificial that we made up the language, but not artificial that rationality in the universe already exist. We only invented this language to try to talk about and identify some of the properties of this rationality.
We also note that since everything in the universe is deterministic, we may proceed to view it as a demterministic game, with many different variables. In a game with little variable, it is predictable and the player easily gets bored with it. For a game with many variables, it would be tiring to predict, but it is what we can call the very essence of living. In this 'game' we have predictability as well as unpredictability.
Math should also be considered discovered even more urgently in this increasingly cold world when people claim copyrights, etc., for everything. To 'discover' mathematics is the least we can do to remain humble in enjoying math as a hobby.
Oh, and creativity. What one might consider creativity is the degree from which one departs from the logicality in doing things. It's kind of like that 'large game' idea. Even though everything is determined, it is tedious and impossible to determine it with the large amounts of variables. Therefore, we excuse this large predictability as randomness and the unknown, etc. Then, we have this area as where creativity may sprout. We finally see that creativity is measured against (relative to) either 1) the creativity/logicality of the person, such as "you" or "I" or 2) the average creativity/logicality of the entire population, etc.
I'm just trying to be as precise as possible...



