“Similarly for marking exercises, quantitative exercises, maybe not so much in mathematics, but certainly problem sets in physics, chemistry, and engineering and things like that where answers and methods are clear cut, absolutely. I would like to see that done online.” DoneProblemAnswersClearCuttingExerciseMathematicsMethodPhysicsOnlineChemistryEngineering Author:David Gelernter
“Sometimes attaining the deepest familiarity with a question is our best substitute for actually having the answer.” SometimesScienceAnswersMathematicsSubstitutesFamiliarity Book:The Elegant Universe Source: The Elegant Universe
“The page of my notebook was filled with many messy integrals, but all of a sudden I saw emerge a formula for counting. I had begun to calculate a quantity on the assumption that the result was a real number, but found instead that, in certain units, all the possible answers would be integers. This meant that areas and volumes cannot take any value, but come in multiples of fixed units.” RealWould BeCertainValuesFoundAnswersResultsNumbersSawsPagesAreasMathematicsFilledFixedAssumptionFormulasQuantityVolumeUnitsCountingMessyNotebookIntegers Book:Three Roads To Quantum Gravity Source: Three Roads To Quantum Gravity
“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
“This is a rather unusual situation in physics. We perform approximate calculations which are valid only in some regime and this gives us the exact answer. This is a theorist's heaven- exact results with approximate methods.” GivingScienceHeavenAnswersResultsSituationMathematicsMethodPhysicsUnusualRegimesCalculationsTheorists Author:Nathan Seiberg
“Why does man freeze to death trying to reach the North Pole? Why does man drive himself to suffer the steam and heat of the Amazon? Why does he stagger his mind with the mathematics of the sky? Once the question mark has arisen in the human brain the answer must be found, if it takes a hundred years. A thousand years.” IfsMenTryingYearsMindHumansDoeSufferingFoundAnswersBrainSkyThousandHundredMarkMathematicsHeatExplorationQuestsThousand YearsFreezeSteamAmazonHuman BrainQuestion MarkNorth Pole Author:Walter Reisch
“Everyone reads a different book. That's what's interesting. Everyone sees a different film, as well. We bring our past lives to whatever work of art we're experiencing at that moment, and that's what makes it interesting. It's not mathematics. There are different answers for different people.” PeopleWellsArtBookDifferentMomentsPastFilmAnswersInterestingMathematicsThat MomentWorks Of ArtOur PastDifferent PeoplesPast LifeWhatever WorksDifferent Books Author:Paul Auster