Mathematics is not a deductive science—that's a cliché. When you try to prove a theorem, you don't just list the hypotheses and then start to reason. What you do is trial and error, experimentation, guesswork.
In looking for someone to hire, you look for three qualities: integrity, intelligence, and energy. But the most important is integrity because if they don't have that, the other two qualities, intelligence and energy, are going to kill you.