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математика
аксиоматическое высказывание
математика
аксиоматическая теория
общая лексика
аксиоматический метод
математика
аксиоматический подход
математика
аксиоматическое определение
математика
аксиоматическая система
математика
логическое высказывание
In mathematics and logic, an axiomatic system is any set of axioms from which some or all axioms can be used in conjunction to logically derive theorems. A theory is a consistent, relatively-self-contained body of knowledge which usually contains an axiomatic system and all its derived theorems. An axiomatic system that is completely described is a special kind of formal system. A formal theory is an axiomatic system (usually formulated within model theory) that describes a set of sentences that is closed under logical implication. A formal proof is a complete rendition of a mathematical proof within a formal system.