formal system
(or theory) A theory whose sentences are well-formed formulae of a logical calculus, and in which axioms or rules governing particular terms correspond to the principles of the theory being formalized. The theory is said to be couched or framed in the language of a calculus, e.g. first-order predicate calculus . Set theory, mathematics, mechanics, and many other sciences may be developed formally, thereby making possible logical analysis of such matters as the independence of various axioms, and the relations between one theory and another.

Philosophy dictionary. . 2011.

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  • Formal system — In formal logic, a formal system (also called a logical system,Audi, Robert (Editor). The Cambridge Dictionary of Philosophy . Second edition, Cambridge University Press, 1999. ISBN 978 0521631365 (hardcover) and ISBN 978 0521637220 (paperback).] …   Wikipedia

  • formal system — In logic, a formal language together with a deductive apparatus by which some well formed formulas can be derived from others. Each formal system has a formal language composed of primitive symbols that figure in certain rules of formation… …   Universalium

  • formal system — noun The grouping of a formal language and a set of inference rules and/or axioms. Syn: logical system, logical calculus, logic …   Wiktionary

  • formal systems — formal system …   Philosophy dictionary

  • Formal interpretation — A formal interpretation [http://books.google.com/books?id=weKqT3ka5g0C pg=PA74 lpg=PA74 dq=%22Formal+interpretation%22+%22formal+language%22 source=web ots=pLN ms7Wi2 sig=P JqwdzOqLcX4nMpP64qmacnkDU hl=en#PPA74,M1 Cann Ronnie, Formal Semantics:… …   Wikipedia

  • formal logic — the branch of logic concerned exclusively with the principles of deductive reasoning and with the form rather than the content of propositions. [1855 60] * * * Introduction       the abstract study of propositions, statements, or assertively used …   Universalium

  • Formal methods — In computer science and software engineering, formal methods are particular kind of mathematically based techniques for the specification, development and verification of software and hardware systems.cite web|author=R. W. Butler|title=What is… …   Wikipedia

  • Formal proof — See also: mathematical proof, proof theory, and axiomatic system A formal proof or derivation is a finite sequence of sentences (called well formed formulas in the case of a formal language) each of which is an axiom or follows from the… …   Wikipedia

  • Formal — The term formal has a number of uses, including:General*relating to formality *opposite of informalocial* Formal occasion ** Formal attire worn on such occasions ** Formals are particular meals at some British universities ** In Australian or… …   Wikipedia

  • Formal language — A formal language is a set of words , i.e. finite strings of letters , or symbols . The inventory from which these letters are taken is called the alphabet over which the language is defined. A formal language is often defined by means of a… …   Wikipedia

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