In mathematics you can do it. For instance now we know how many kinds of Groups there are and that there are only 26 simple groups, like Janko 2 for instance or the Monster simple group. It can be proved that there are no other simple groups than those that have now been identified. But the proof is about 10,000 pages long.

http://en.wikipedia.org/wiki/Sporadic_group

http://www.quora.com/Is-it-possible-to-disprove-the-existence-of-anything-with-certainty

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