“Everyone knows that physicists are concerned with the laws of the universe and have the audacity sometimes to think they have discovered the choices God made when He created the universe in thus and such a pattern. Mathematicians are even more audacious. What they feel they discover are the laws that God Himself could not avoid having to follow.” GodUniverseMathematicsPhysics Author:David Mumford
“Art lives on the mental plane (the real painting is not the set of dry pigments on the canvas nor is a symphony the sequence of sound waves that convey it to our ear) but, as the post-modernists insist, is reinterpreted in new contexts by each appreciator. As for gossip, which includes the vast majority of our thoughts, its essence is its relation to a unique local part of time and space.” ArtRealSoundSpacePaintingUniqueEssenceEarsRelationMathematicsMajorityWaveLocalsPostsPlanesDryGossipCanvasOur ThoughtsTime And SpaceSequenceSymphonyPigmentArt LifeSound Waves Author:David Mumford
“Logic has virtually nothing to do with the way we think.” ThinkingWayScienceLogicMathematics Author:David Mumford
“The world is a very complicated place, as babies know.” KnowsWorldScienceBabyMathematicsComplicated Author:David Mumford
“The extreme possibilities are the most illuminating.” SciencePossibilityMathematicsExtremesIlluminating Author:David Mumford
“Images of the world are Renormalization Group fixed points.” WorldScienceGroupsMathematicsFixed Author:David Mumford
“I think that mathematics can benefit by acknowledging that the creation of good models is just as important as proving deep theorems.” ThinkingImportantCreationProveBenefitsModelsMathematicsTheorems Author:David Mumford
“My own view is that no major advance was ever found as a result of a committee's recommendation... We should be honest in telling these agencies we often don't know where some ideas are going to lead, but we hope they are going to clarify a problem.” KnowsShouldIdeasProblemFoundMy OwnResultsViewsHonestMajorsBeing HonestAgencyCommitteesRecommendations Author:David Mumford
“I am accustomed, as a professional mathematician, to living in a sort of vacuum, surrounded by people who declare with an odd sort of pride that they are mathematically illiterate.” PeoplePrideMathOddMathematicianAccustomedVacuumsIlliterate Author:David Mumford
“The world is continuous, but the mind is discrete.” WorldMindMathematicsMathematicalStatisticsCalculusDiscrete Author:David Mumford
“Algebraic geometry seems to have acquired the reputation of being esoteric, exclusive, and very abstract, with adherents who are secretly plotting to take over all the rest of mathematics. In one respect this last point is accurate.” SeemsLastsMathematicsMathReputationAbstractAccurateExclusiveGeometryEsoteric Author:David Mumford
“A Noah's Ark of mathematicians, their lives, loves, hard times, and madnesses, Loving and Hating Mathematics shows our community with all its warts as well as its triumphs. I especially liked the chapter on much-hated school mathematics, 'Almost All Children Left Behind.'” WellsChildrenHardShowsSchoolHateLeftCommunityBehindsMadnessMathematicsTriumphHatedHard TimesLove LifeChaptersMathematicianLeft BehindOur CommunityArkWartsNoah's Ark Author:David Mumford
