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Formal
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The term formal has a number of uses, including:
See also the Language section of Mathematics, above
See also the Language section of Mathematics, above

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Encyclopedia
The term formal has a number of uses, including:
General
Social
- Formal occasion
- Formal attire worn on such occasions
- Formals are particular meals at some British universities
- In Australian or British English, a formal is the equivalent of the American prom dance.
- In American English, a "formal" is organized by a college or university organization, typically but not always a fraternity or sorority.
- Informal occasion (included as Informal redirect here); see Dress code (Western) for the distinctions between Formal, Semi-formal, and Informal
Philosophical
- 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.
Mathematics
- 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.
Logic and Language
- 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.
Computer science
See also the Language section of Mathematics, above
Linguistic
- Formal equivalence word-for-word translation (especially of the Bible)
See also the Language section of Mathematics, above
Chemical
Political Science
- Formal theory refers to mathematical modeling, because otherwise "theory" refers more broadly to political philosophy
See also
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