“Someone has remarked that 'An ideal math talk should have one proof and one joke and they should not be the same'.” ShouldScienceJokesIdealsShould HaveMathematicsMathProof 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
“It wouild be very discouraging if somewhere down the line you could ask a computer if the Riemann hypothesis is correct and it said, 'Yes, it is true, but you won't be able to understand the proof.' John Horgan.” IfsSaidAbleAsksUnderstandingLinesComputerProofHypothesisDiscouragingRiemann Author:Ronald Graham
