“Understanding what and why did not work may be more instructive than celebrating our successes.” Quote by Mikhail Leonidovich Gromov
“But anything that can be called "rigor" is lost exactly where the things become interesting and non trivial.” ScienceLostInterestingMathematicsRigor Author:Mikhail Leonidovich Gromov
“But 'the physical level of rigor' is higher on certainty than the logical one, since reproducible experiments are more reliable than anybody's, be it Hilbert's, Einstein's or Gödel's intuition.” ScienceLevelsHigherMathematicsIntuitionExperimentsCertaintyLogicalRigor Author:Mikhail Leonidovich Gromov
“Thers is this wonderful iconoclast at Rutgers, Doron Zeilberger, who says that our mathematics is the result of a random walk, by which he means what WE call mathematics. Likewise, I think, for the sciences.” ThinkingMeanScienceWalksResultsWonderfulMathematicsRutgers Author:Ian Hacking
“In highschool I was very excited that alog(b)=blog(a), and still find it useful today.” StillsTodayScienceMathematicsExcitedBlogs Author:Noga Alon
“This is not very important what I'm doing. I'm just proving something.” ImportantScienceProveMathematics Author:Richard P. Feynman
“The computer was, to the best of my feelings about the subject, not thinking like a mathematician, and it was much more successful, because it was thinking not like a mathematician.” ThinkingFeelingsScienceSuccessfulSubjectsComputerMathematicsMathematician Author:Kenneth Appel
“Without computers we will be stuck only proving theorems that have short proofs.” ScienceProveComputerMathematicsProofStuckTheorems Author: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