Formal - Logic and Mathematics

Logic and Mathematics

  • Formal logic, logical argument based on form
  • Formal cause, Aristotle's intrinsic, determining cause
  • Formal power series, a generalization of power series without requiring convergence, used in combinatorics
  • Formal calculation, a calculation which is systematic, but without a rigorous justification
  • Formal set theory, as opposed to Naive set theory
  • Formal derivative, an operation on elements of a polynomial ring which mimics the form of the derivative from calculus

Read more about this topic:  Formal

Famous quotes containing the words logic and, logic and/or mathematics:

    Logic and hope fade somewhat by thirty-six, when endings seem more like clear warnings than useful experience.
    Jane O’Reilly, U.S. feminist and humorist. The Girl I Left Behind, ch. 2 (1980)

    It is the logic of our times,
    No subject for immortal verse—
    That we who lived by honest dreams
    Defend the bad against the worse.
    Cecil Day Lewis (1904–1972)

    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)