There is no midnight. It never gets there. Dave the lost's link went
here, which is the wikipedia link, but
this link describes it better (to me, anyway) and shows arguments and counter-arguments.
I, personally, like this argument if we decide the paradox has no effect:
Swordmaster Dragon
But if we have an infinite number of time intervals, each ball will have been taken out at some time. So it seems that while, at each instant of time, there are more balls in the urn than have been taken out, at midnite there will be no balls inside the urn.
No matter what, the infinite time intervals has an effect. And where on earth did you get that urn? I want one
domokun 
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