“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.” ReasonProveMathematicsClicheExperimentationTrialGuessworkHypothesesDeductive Logic Book:I Want to be a Mathematician: An Automathography Source: I Want to be a Mathematician: An Automathography