“No Victor, you got it backwards, you should evaluate these integrals non-rigorously if you can, and rigorously if you must.” IfsShouldScienceMathematicsBackwardsEvaluate Author:Doron Zeilberger
“You can keep counting forever. The answer is infinity. But, quite frankly, I don't think I ever liked it. I always found something repulsive about it. I prefer finite mathematics much more than infinite mathematics. I think that it is much more natural, much more appealing and the theory is much more beautiful. It is very concrete. It is something that you can touch and something you can feel and something to relate to. Infinity mathematics, to me, is something that is meaningless, because it is abstract nonsense.” ThinkingFeelsBeautifulScienceFoundNaturalAnswersForeverTheoryInfiniteMathematicsRelateAbstractNonsenseInfinityMeaninglessConcreteFiniteCounting Author:Doron Zeilberger
“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
“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
“Someone has said that all the great jugglers are dead.” SaidScienceMathematicsJugglers Author:Ronald Graham
“I was reminded of the Sydney Harris cartoon that said 'adding two numbers that have not been added before does not constitute a mathematical breakthrough'.” DoeSaidTwoScienceNumbersMathematicsMathematicalCartoonBreakthroughSydney Author:Ronald Graham
“The standard model gives us an accuracy of ten decimal digits, this is an amazing success that has never been achieved before in science.” GivingScienceTenModelsStandardsMathematicsAccuracyDecimals Author:Nathan Seiberg
“Newton's theory is not 'not right', it just does not cover all distances. Contrary to popular belief, theories in science are not proven wrong, they are just replaced by more complete and convenient theories. To sound provocative, even the geocentric theory was never "proven" wrong, it is just not as convenient as the heliocentric theory, since it requires endless epicycles.” DoeScienceBeliefSoundTheoryMathematicsDistanceContraryEndlessReplacedProvenConvenientNewtonProvocativeContrary To Popular BeliefProven Wrong Author:Nathan Seiberg
“What will the greatest experiment discover? I have no idea!, maybe nothing!, If we won't check, we will never know. In science there is never a guarantee of success. If you understood this last sentence, then you understood the most important message of this lecture.” IfsKnowsImportantIdeasLastsScienceMessagesUnderstoodMathematicsSentencesExperimentsChecksNo IdeaGuaranteesLectures Author:Nathan Seiberg
“I am a professor at the computer science department, but I don't know how to use a computer, not even for Email.” KnowsUseScienceKnow HowComputerMathematicsDepartmentProfessorsEmailComputer Science Author:Endre Szemeredi