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

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Famous quotes containing the words logic and/or mathematics:

    ““... We need the interruption of the night
    To ease attention off when overtight,
    To break our logic in too long a flight,
    And ask us if our premises are right.””
    —Robert Frost (1874–1963)

    “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)