Stimpson J. Cat said:
Yalel,
Not dictated by geometry. Describable by mathematics.
Stimpsy, to the degree you are a very logical thinker, the laws of logic both describe and dictate how you think and don't think. In a similar fashion, geometry and algebra both describe and dictate how planets revolve around the sun, etc.
Did you know that algebra and geometry are isomorphic? They are simply different languages for expressing the same logical concepts. For example, some of the Trig identities are very easy to understand algebraically, but very difficult to understand geometrically, and vice-versa. But they can all be expressed either way.
Well stated, and is it not interesting and indeed very useful that two or more isomorphisms while the same in some respects can add different insights when one goes from one to another?
Dr. Stupid