Paul HalmosHungarian-born American mathematician |
Mathematics is not a deductive science - that`s a cliche. 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.
When a student comes and asks, "Should I become a mathematician?" the answer should be no. If you have to ask, you shouldn`t even ask.