Wednesday, October 15, 2008

Pi

The realms of discrete maths and real maths (what's the right word?) are seperated by the perception of reality.
Discrete maths, in my opinion, contains answers to questions that do not rely up any pre-suppositions at all, but real maths, like rational, irrational numbers, and calculus on those number spaces, does rely on the supposition that there can be such a thing as a continuous space.

Thinking too hard about this leads me to wonder if there is any such thing as the number Pi.

Is the idea of Pi a fiction? A made up hole filler that works fine in our universe with our set of real-number rules that we've generated from the initial assumption that a continuous number space exists?

I have a problem with the "three body problem". For me, it smells like there's something missing. I want to know if there is a way to find out if the problem is that it can't be solved, or is it that we shouldn't be trying to solve it in the first place. If the universe does work on discrete maths, then all of our problems may fold away into the peculiarities of attempting a smooth universe without having one.

I'm certainly no quantum-physicist, but at least I'm thinking.
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