“There is no significant difference between human activities and those by amoebas and even bacteria, well, on the GRAND SCALE.” HumansWellsScienceDifferencesActivityMathematicsSignificantScalesHuman ActivityBacteria Author:Mikhail Leonidovich Gromov
“A mathematician would hardly call a correspondence between the set of 64 triples of four units and a set of twenty other units, "universal", while such correspondence is, probably, the most fundamental general feature of life on Earth.” EarthScienceFourUniversalTwentiesMathematicsFundamentalsFeaturesMathematicianUnitsCorrespondence Author:Mikhail Leonidovich Gromov
“Understanding what and why did not work may be more instructive than celebrating our successes.” MayScienceUnderstandingMathematicsCelebrate Author: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
