Thursday, November 14, 2013

Geometry And Space

I'd prefer to think of geometry as being about how to describe space.  And you can read some interesting things about space. For example  "The vase is a contained space."  Yet, tell a potter they are engaged in geometry and you'll probably never reach the end of the conversation, because potters do not think of themselves as being engaged in geometry. "The contained space" is nothing to do with geometry, instead they might suggest, space is a function of their expression  of "Vase."

 The idea of the universe as being described by geometry works for me. Oh certainly, you have your Euclid's, you have your spatial relationships, you have your angles and your circumferences all of them prettified by the language of arithmetic and fearfully useful. You have the endlessness of pi, incidentally an irrational number.  You have the rules, your well written regulations and your politics that contain space.  Which could make the "Vase" a mathematics, rather than a geometry, because geometry is the act of imagination that precedes the language of math.  So it's well worth thinking of geometry as being about how to describe space before knocking on the dull door of theory and practice.

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