Axiomatic system

Axiomatic system

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.
http://dbpedia.org/resource/Axiomatic_system
E. H. Moore
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Axiomatic_system
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Axiomatic system

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.
http://dbpedia.org/resource/Axiomatic_system
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De axiomatische methode is een ...... turalis Principia Mathematica.
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Ein Axiomensystem (auch: Axiom ...... ik erster Stufe axiomatisiert.
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En lógica y matemáticas, un si ...... co de la lógica proposicional.
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En mathématiques, un système a ...... atique dans un système formel.
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In matematica, un sistema assi ...... tti i teoremi che ne derivano.
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In mathematics and logic, an a ...... proof within a formal system.
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Na matemática, um sistema axio ...... a dentro de um sistema formal.
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Sistem aksioma adalah sistem p ...... rapa hipotesis dan kesimpulan.
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Аксіома́тика (англ. axiomatic ...... системи аксіом (аксіоматики).
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数学上，一个公理系统（英語：Axiomatic system ...... 中表述的那样。一个形式化证明是一个证明在形式化系统中的表述。
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date
March 2018
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p/a014300
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reason
What does 'real world' mean in this context?
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title
Axiomatic method
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De axiomatische methode is een ...... n van de geometrische methode.
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Ein Axiomensystem (auch: Axiom ...... ik erster Stufe axiomatisiert.
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En lógica y matemáticas, un si ...... co de la lógica proposicional.
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En mathématiques, un système a ...... atique dans un système formel.
@fr
In matematica, un sistema assi ...... tti i teoremi che ne derivano.
@it
In mathematics and logic, an a ...... proof within a formal system.
@en
Na matemática, um sistema axio ...... a dentro de um sistema formal.
@pt
Sistem aksioma adalah sistem p ...... rapa hipotesis dan kesimpulan.
@in
Аксіома́тика (англ. axiomatic ...... системи аксіом (аксіоматики).
@uk
数学上，一个公理系统（英語：Axiomatic system ...... 中表述的那样。一个形式化证明是一个证明在形式化系统中的表述。
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label
Axiomatic system
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Axiomatische methode
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Axiomensystem
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Sistem aksioma
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Sistema assiomatico
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Sistema axiomático
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Sistema axiomático
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Système axiomatique
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Аксіоматика
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公理系统
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