“Without computers we will be stuck only proving theorems that have short proofs.” Quote by Kenneth Appel
“Data-driven statistics has the danger of isolating statistics from the rest of the scientific and mathematical communities by not allowing valuable cross-pollination of ideas from other fields.” IdeasScienceCommunityDangerFieldsCrossesMathematicsValuableDrivenDataMathematicalStatisticsAllowingPollination Author:Lawrence Shepp
“I feel that one should employ methods that reflect the physics of the problem at hand rather than the methods one happens to know.” KnowsFeelsShouldProblemHandsHappensScienceMathematicsMethodPhysics Author:Lawrence Shepp
“Of course it was always a friendly debate though sometimes I got too loud.” SometimesScienceCoursesMathematicsDebateLoudFriendly Author:Lawrence Shepp
“André Weil always looked like that, not only when he talked about the devil.” ScienceDevilMathematics Author:Jordan Ellenberg
“This is a collaboration between a complex analyst, a dynamical system expert, and an arithmetical algebraic geometer. It sounds like a joke, a complex analyst, a dynamical system expert, and an arithmetical algebraic geometer walk into a bar.” ScienceSoundWalksJokesMathematicsComplexesBarsExpertsCollaborationAnalysts Author:Jordan Ellenberg
“These disturbing phenomena [Extra Sensory Perception] seem to deny all our scientific ideas. How we should like to discredit them! Unfortunately the statistical evidence, at least for telepathy, is overwhelming.” ShouldIdeasSeemsSciencePerceptionEvidenceMathematicsDenyExtrasOverwhelmingDisturbingSensoryDiscreditTelepathySensory Perception Author:Alan Turing
“However the machine would permit us to test the hypothesis for any special value of n. We could carry out such tests for a sequence of consecutive values n=2,3,.. up to, say, n=100. If the result of at least one test were negative, the hypothesis would prove to be false; otherwise our confidence in the hypothesis would increase, and we should feel encouraged to attempt establishing the hypothesis, instead of trying to construct a counterexample.” IfsFeelsShouldTryingScienceValuesResultsSpecialProveNegativeTestsMachinesIncreaseMathematicsPermitConstructsHypothesisSequenceConsecutive Author:Alfred Tarski
“When I was in graduate school in Princeton, I was told to take three courses. One of them to work on really hard, another to work on moderately hard, and the third one just to absorb. In my case, I never showed up to the latter class, taught by Robert Gunning, on Several Complex Variables. Several Complex Variables (Cn) was starting to get vary fashionable then, but I decided to specialize in n=1/2.” HardSchoolScienceThreeCoursesClassCasesTaughtDecidedThirdsMathematicsComplexesStartingLatterGraduatesVaryFashionableVariablesGraduate SchoolPrinceton Author:Richard Askey
“Computer assisted proofs are getting better and better and computers will play a bigger and bigger role in the future.” PlayScienceRolesComputerBiggerMathematicsProofGet Better Author:Enrico Bombieri
“Mathematics is the summit of human thinking. It has all the creativity and imagination that you can find in all kinds of art, but unlike art-charlatans and all kinds of quacks will not succeed there.” ThinkingHumansKindArtScienceImaginationCreativitySucceedMathematicsAll KindsSummitCharlatansImagination And CreativityQuacks Author:Meir Shalev