What if Pi is rational?
February 24, 2015 Leave a comment
Things I wonder about- Pi is an irrational number. However, there is, in principle, a small but nonzero chance that everyone who has proven Pis irrationality was wrong, and that Pi is, in fact, rational.
If this were to be the case, I wonder what the implications would be? Not much on a day to day basis right now, we use it to great practical effect under the assumption it is irrational and get the right answer(or at least something usefully close). But I wonder what would be impacted in more pure mathematics and number theory, and if there might be something humans might get into some day where this would have significant practical implications?
I suppose the implications would depend at least on part on where in the proofs people have gone wrong. This could potentially have implications beyond pi and its uses.
Now I’m not as crazy as this might make me seem- I’m pretty well satisfied that Pi is irrational. While I have no idea what the proof is and might not understand the math involved anyways, it’s been treated as irrational for so long that if it wasn’t, *someone* would have noticed by now. I just wonder about weird things sometimes.