“AB=1/4((A+B)^2-(A-B)^2) is an amazing identity, and unfortunately, I have to remind my current students how to prove it.” ScienceIdentityStudentsProveMathematicsCurrentsProve It Author:Ronald Graham
“Incidentally, when we're faced with a "prove or disprove," we're usually better off trying first to disprove with a counterexample, for two reasons: A disproof is potentially easier (we need just one counterexample); and nitpicking arouses our creative juices. Even if the given assertion is true, our search for a counterexample often leads to a proof, as soon as we see why a counterexample is impossible. Besides, it's healthy to be skeptical.” IfsNeedsTryingFirstsTwoReasonGivenCreativeLearningImpossibleEasierHealthyProveProofJust OneProgrammingBetter OffJuiceSkepticalAssertionCreative Juices Book:Concrete mathematics: a foundation for computer science Source: Concrete mathematics: a foundation for computer science
