faboulous facts about one hell of a man.
The first two questions were answered in 1930 by Kurt Gödel who discovered that it was impossible for any set of axioms in arithmetic to be both complete and consistent. This was a major blow for Hilbert's dream. However, the third question, that of whether mathematics was decidable, was still open and would remain so for another six years. So it was, in the Spring of 1935, a young Masters student at King's College, Cambridge, decided to take on the remaining question of decidability. (ie: Alan Turning)