Axiom of Choice

I don't get the Axiom of Choice. All it seems to say is that if you have a bunch of piles of objects, it is possible to pick exactly one item from each pile. Well big fucking whoop, what's the big deal? Why is this so controversial?

>>2
How exactly is it unprovable? Because it is based on empirical evidence? Why couldn't they define the "axiom of choice" in a little more abstract manner. Something more like this...

You can only make a rational judgements after making initial judgements based on experience with which to reason with.

If this is case, then people who run around screaming "LOL I AM TEH PHILOSOPHY LOL AXIOM OF CHOICE BITCHES!!!!!!111" need to gb2 18th century because Immanuel Kant has already been through this. I think Descartes and probably some Chinese and Greeks already have aswell.