Formal system

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Formal system

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A formal system is an abstract structure used for inferring theorems from axioms according to a set of rules. These rules, which are used for carrying out the inference of theorems from axioms, are the logical calculus of the formal system. A formal system is essentially an "axiomatic system". In 1921, David Hilbert proposed to use such a system as the foundation for the knowledge in mathematics. A formal system may represent a well-defined system of abstract thought. The term formalism is sometimes a rough synonym for formal system, but it also refers to a given style of notation, for example, Paul Dirac's bra–ket notation.

English Wikipedia http://en.wikipedia.org/wiki/Formal_system

Spanish wikipedia http://es.wikipedia.org/wiki/Sistema_formal

Wiki page external link http://www.cs.indiana.edu/~port/teach/641/formal.sys.haug.html http://www.earlham.edu/~peters/courses/logsys/machines.htm https://web.archive.org/web/20110524103726/http:/www.earlham.edu/~peters/courses/logsys/machines.htm https://www.britannica.com/eb/article-9034889/formal-system