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