> The problem isn't that Pi isn't finite, it's less than 4 so it's finite.
> The problem isn't that it isn't exact.
> The problem is that it can't be represented exactly in decimals which mens
> that when we write the expansion, we'll always have to make do with an
> approximation to the exact value.
Consider this:
Let's assume that the universe is spherical (a logical assumption if we
assume it's the result of a currently expanding explosion xx years ago).
If we were to calculate the radius of this sphere down to a single atomic
width, using some decently expanded version of pi would could come up with
an exact number for the volume of the universe.
What I'm getting at is that at some point, pi reaches a practical limit at
which expanding more decimal points is an abstraction because we could never
measure anything large enough for it to be useful. I mean, c'mon! The
universe is only so big! :-)
Being in a hurry, I don't have the time to figure out how many decimal
places that would be...perhaps someone more adventurous would care to give
it a go.
Aaron
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