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About: Axiomatic system     Goto   Sponge   NotDistinct   Permalink

An Entity of Type : yago:WikicatFormalSystems, within Data Space : dbpedia.org associated with source document(s)

Type: yago:WikicatConceptualSystemsyago:Artifact100021939yago:Instrumentality103575240yago:Object100002684yago:PhysicalEntity100001930yago:System104377057yago:Whole100003553yago:WikicatFormalSystems New Facet based on Instances of this Class

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.