axiom in the Oxford-Hachette French Dictionary

Translations for axiom in the English»French Dictionary (Go to French»English)

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Translations for axiom in the French»English Dictionary (Go to English»French)

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axiome
axiom
un axiome ne se prouve pas
an axiom cannot be proved

axiom in the PONS Dictionary

Translations for axiom in the English»French Dictionary

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Monolingual examples (not verified by PONS Editors)

English
His proofs often invoke axiomatic notions which were not originally presented in his list of axioms.
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The set of axioms is often finite or recursively enumerable, in which case the theory is called effective.
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He has worked on reverse mathematics, a project intended to derive the axioms of mathematics from the theorems considered to be necessary.
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Of course, this collection would have to satisfy certain properties (known as axioms) for otherwise we may not have a well-defined method to measure distance.
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In logic programming, a program consists of a set of axioms and rules.
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Deduction, on the other hand, begins with general axioms, or first principles, by which the truth of particular cases is extrapolated.
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Repeated generations of deflation produce a tiling of the original axiom shape with smaller and smaller tiles.
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If this association of meanings makes the axioms of the system true statements, then the interpretation is called a model of the system.
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For example, it is possible to create axiom systems in second-order logic that uniquely characterize the natural numbers and the real line.
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As a point of principle, it was regularly cited (often by goths themselves) as being incongruous with the scene's professed axiom of nonconformity.
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