O.G, on Aug 20 2009, 02:30, said:
What would happen if they found that pi wasn't irrational? What would they do with their time then?
Well seeing as how countless proofs have been giving that show Pi to be irrational (google search) we would have o assume one of two things - we have errors in our methods for calculating Pi; we have errors in the axioms that define our mathematics, and by proxy, Pi. The latter of which would cause the universe to implode.
On another note - how do they know that all of those digits are the correct ones. I have done some work with Pi calculating algorithms and one things Ive noted with all of them is that they are convergent. The last few digits almost never change, but converge slowly to the correct number.
What if the last few digits are actually incorrect; close, but incorrect. We would never know. The only way to check is to run a different approximation program, which would simply yield the same possible error in the approximation.