Relation - Mathematics

Mathematics

  • Relational algebra, an offshoot of first-order logic (and of algebra of sets), deals with a set of finitary relations which is closed under certain operators
  • Relation (mathematics), a generalization of arithmetic relations, such as "=" and "<", that occur in statements, such as "5 < 6" and "2 + 2 = 4"
  • Ternary relation, finitary relation in which the number of places in the relation is three. Ternary relations may also be referred to as 3-adic, 3-ary, 3-dimensional, or 3-place.
  • Theory of relations, treats the subject matter of relations in its combinatorial aspect, as distinguished from, though related to, its more properly logical study on one side and its more generally mathematical study on another

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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)

    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)

    ... 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)