Axiomatic system
In mathematics, 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 consists of 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 typically means an axiomatic system, for example formulated within model theory. A formal proof is a complete rendition of a mathematical proof within a formal system.
primaryTopic
Axiomatic system
In mathematics, 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 consists of 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 typically means an axiomatic system, for example formulated within model theory. A formal proof is a complete rendition of a mathematical proof within a formal system.
has abstract
De axiomatische methode is een ...... turalis Principia Mathematica.
@nl
Ein Axiomensystem (auch: Axiom ...... ik erster Stufe axiomatisiert.
@de
En lógica y matemáticas, un si ...... co de la lógica proposicional.
@es
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, an axiomatic s ...... proof within a formal system.
@en
Na matemática, um sistema axio ...... a dentro de um sistema formal.
@pt
数学上,一个公理系统(或称公理化系统,公理体系,公理化体系) ...... 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。
@zh
Link from a Wikipage to an external page
Wikipage page ID
Wikipage revision ID
741,566,995
title
Axiomatic method
comment
De axiomatische methode is een ...... n van de geometrische methode.
@nl
Ein Axiomensystem (auch: Axiom ...... ik erster Stufe axiomatisiert.
@de
En lógica y matemáticas, un si ...... co de la lógica proposicional.
@es
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, an axiomatic s ...... proof within a formal system.
@en
Na matemática, um sistema axio ...... a dentro de um sistema formal.
@pt
数学上,一个公理系统(或称公理化系统,公理体系,公理化体系) ...... 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。
@zh
label
Axiomatic system
@en
Axiomatische methode
@nl
Axiomensystem
@de
Sistema assiomatico
@it
Sistema axiomático
@es
Sistema axiomático
@pt
Système axiomatique
@fr
公理系统
@zh