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Axiomatic system

In mathematics and logic, an axiomatic system or axiom system is a standard type of deductive logical structure, used also in theoretical computer science. It consists of a set of formal statements known as axioms that are used for the logical deduction of other statements. In mathematics these logical consequences of the axioms may be known as lemmas or…

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The axiomatic method in mathematics

Discussion of axiomatic systems

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Axiomatic system

Nodes103
Edges102
Triples39
Avg. degree1.98
Density0.019417
Components1

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Axiomatic system

Top relations

related to Further reading · 10
Axiomatic system → Answers, Axiomatic, EMS Press, Encyclopedia, Eric, From MathWorld, Mathematics, Mathworld, Weisstein, Wolfram Web Resource
see also · 9
Axiomatic system → Axiom, Fraenkel, Limitative, Mathematical, Philosophy, School, Standard, System, Template
related to Properties · 8
Axiomatic system → An, Consistency, Four, However, In, Relative, That, Unlike
related to Timeline of axiomatic systems to 1900 · 5
Axiomatic system → Euclidean, Georg Cantor's, Hilbert's, Major, They
related to Axioms and models · 4
Axiomatic system → By, If, Models, The
is a · 2
Axiomatic system → formal structure, sequence of deductive steps that establishes a new statement as a consequence of the axioms

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Important terminology

axioms axiomatic system mathematics theory proof logical used axiom mathematical formal set logic model statement may method also postulates systems

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Axiomatic systemis asequence of deductive steps that establishes a new statement as a consequence of the axioms0.90text
Axiomatic systemis aformal structure0.90text
predicate calculus must be used in the proofsinstance ofa logical system0.80text
Axiomatic systemrelated to Axioms and modelsIf0.60section
Axiomatic systemrelated to Axioms and modelsThe0.60section
Axiomatic systemrelated to Axioms and modelsModels0.60section
Axiomatic systemrelated to Axioms and modelsBy0.60section
Axiomatic systemrelated to Further readingAxiomatic0.60section
Axiomatic systemrelated to Further readingEncyclopedia0.60section
Axiomatic systemrelated to Further readingMathematics0.60section
Axiomatic systemrelated to Further readingEMS Press0.60section
Axiomatic systemrelated to Further readingEric0.60section

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