1901 in Science - Mathematics

Mathematics

  • May/June - Russell's paradox: Bertrand Russell shows that Georg Cantor's naive set theory leads to a contradiction.
  • Élie Cartan develops the exterior derivative.
  • Leonard Eugene Dickson publishes Linear groups with an exposition of the Galois field theory in Leipzig, advancing the classification of finite simple groups and listing almost all non-abelian simple groups having order less than one billion.
  • Aleksandr Lyapunov proves the central limit theorem rigorously using characteristic functions.

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Famous quotes containing the word mathematics:

    Mathematics alone make us feel the limits of our intelligence. For we can always suppose in the case of an experiment that it is inexplicable because we don’t happen to have all the data. In mathematics we have all the data ... and yet we don’t understand. We always come back to the contemplation of our human wretchedness. What force is in relation to our will, the impenetrable opacity of mathematics is in relation to our intelligence.
    Simone Weil (1909–1943)

    In mathematics he was greater
    Than Tycho Brahe, or Erra Pater:
    For he, by geometric scale,
    Could take the size of pots of ale;
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    And wisely tell what hour o’ th’ day
    The clock doth strike, by algebra.
    Samuel Butler (1612–1680)

    ... though mathematics may teach a man how to build a bridge, it is what the Scotch Universities call the humanities, that teach him to be civil and sweet-tempered.
    Amelia E. Barr (1831–1919)