axiom in the Oxford Spanish Dictionary

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

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

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axiom

axiom in the PONS Dictionary

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

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

Your search term in other parts of the dictionary
axiom
American English

Monolingual examples (not verified by PONS Editors)

English
An axiomatic system is said to be independent if each of its axioms is independent.
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These axioms provide complete syntactic definitions of the conjunction and disjunction operators.
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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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To this he applied the axiom: a cause can never be less than its effect.
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Some authors require theories to also include all logical consequences of the axioms.
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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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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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He proved the independence of some of his axioms by constructing models of geometries which satisfy all except the one axiom under consideration.
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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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This produces two different lines through a point both parallel to another line, contradicting the axiom.
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