Formal

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Look up formal in Wiktionary, the free dictionary.

The term formal has a number of uses, including:

Contents

  • relating to form, i.e. appearance rather than essence.
    • relating to Formalism, i.e. emphasis on form over content or meaning.
  • formal logic logical argument based only on the form and not on the meaning.
  • 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.

  • formal system, an abstract means of generating inferences in a formal language;
    • formal language, comprising the symbolic "words" or "sentences" of a formal system;
    • formal proof, a fully rigorous proof as is possible only in a formal system.

See also the Language section of Mathematics, above

See also the Language section of Mathematics, above

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