Category - Mathematics

Mathematics

  • Category theory
  • Category (mathematics)
    • Abelian category
      • Category of abelian groups
    • Category of small categories
    • Category of sets
    • Category (topology) in the context of Baire spaces
    • Lyusternik–Schnirelmann category, sometimes called LS-category or simply category
    • Monoidal category
    • Preadditive category
  • Equivalence of categories

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Famous quotes containing the word mathematics:

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

    The three main medieval points of view regarding universals are designated by historians as realism, conceptualism, and nominalism. Essentially these same three doctrines reappear in twentieth-century surveys of the philosophy of mathematics under the new names logicism, intuitionism, and formalism.
    Willard Van Orman Quine (b. 1908)

    Why does man freeze to death trying to reach the North Pole? Why does man drive himself to suffer the steam and heat of the Amazon? Why does he stagger his mind with the mathematics of the sky? Once the question mark has arisen in the human brain the answer must be found, if it takes a hundred years. A thousand years.
    Walter Reisch (1903–1963)