From: L' Ermit (lhermit@hotmail.com)
Date: Thu Jan 17 2002 - 18:48:32 MST
[Dr Sebby] ...a funny issue i have with pi and all discussions revolving
around such is that either pi exists or an absolute circle exist in real
terms. if you make a circle based on plugging in Pi, you'll just get a
spiral. since Pi is real, we must confront the fact that a true circle cant
really exist....which wouldnt be a problem if it werent supposedly a
physical 'thing'. a theoretical circle is pretty much pointless not to
mention redundant whilst regarding Pi's existence. Pi 'IS' plato's
circle....much as the worms ARE the spice i suppose;)
========
[Hermit] I'm not sure what you meant by "you'll just get a spiral," but can
speak to the theoretical/physical embodiment of PI.
[Hermit] PI is defined as the ratio of circumference to radius of a
eucledian plane figure, the circle. A circle is an abstract object, the
nature of which (including PI) is inherent in space-time. While a "true
circle" (r^2=x^2+y^2) cannot exist at a moment in spacetime, due to the fact
that a circle is 2-dimensional and the Universe is n-dimensional (where we
think that n is currently at least 10 and no more than 25) as well as the
inherent quantitization of the Universe, a "true circle" can still exist as
a theoretical plane passing through a statistical object surrounding a
particular point (visualize a point-charge field) over time in space.
[Hermit] Meanwhile, PI can be defined in terms of a sphere and thus can
exist as a physical embodiment of the relationships of the statistical
entity described above and thus does have a more than theoretical nature.
[Hermit] So Plato's ideal object is not necessary to comprehend either PI or
the circle. Both are real, both were formed when the "rules" of our Universe
were established sometime in the first 6 minutes after the BB.
Kind Regards
Hermit
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