Godel's Theorem

"What is the exact postion and the exact momentum of this particular electron at this particular time?" is another question that makes no sense (even though it seems reasonable to people who have not been trained in quantum mechanics -- and even to many people who do understand quantum mechanics).

As one member has already pointed out, Godel proved that in any logical system that can produce ordinary arithmetic, there are statements that can neither be proved nor disproved.He also proved that no logical system that can produce ordinary arithmetic can prove its own consistency.The first means that one cannot come up with a finite set of axioms by which all other mathematical statements can be proven or disproven.The second means that there is always the possibility that mathematics as we know it might be inconsistent. Probably not, but we cannot completely be sure of it.Unless you are a Platonist, though, these theorems have only limited implications for real life.

And as a weak(ish ) Platonist, that certainly concerns my Universe!

Hmmm, I would definitely like to know the truth or falsity of the Continuum Hypothesis...

"What color is angular momentum"