Mikhail Leonidovich Gromov Quotes

• This common and unfortunate fact of the lack of adequate presentation of basic ideas and motivations of almost any mathematical theory is probably due to the binary nature of mathematical perception. Either you have no inkling of an idea, or, once you have understood it, the very idea appears so embarrassingly obvious that you feel reluctant to say it aloud.

  Mijail Leonidovich Gromov

  Motivation, Math, Ideas

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• But anything that can be called "rigor" is lost exactly where the things become interesting and non trivial.

  Mijail Leonidovich Gromov

  Science, Interesting, Mathematics

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• Understanding what and why did not work may be more instructive than celebrating our successes.

  Mijail Leonidovich Gromov

  Science, Understanding, May

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• 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.

  Mijail Leonidovich Gromov

  Science, Intuition, Levels

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• 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.

  Mijail Leonidovich Gromov

  Science, Twenties, Fundamentals

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• No hay ninguna diferencia significativa entre las actividades humanas y las de las amebas e incluso las bacterias, bueno, a GRAN ESCALA.

  Mijail Leonidovich Gromov

  Science, Differences, Bacteria

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