axiom в PONS речника

едноезични примери (не са проверени от PONS редакцията)

английски
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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Some of the most frequent axioms used in the building of bargaining solutions are efficiency, symmetry, independence of irrelevant alternatives, scalar invariance, monotonicity, etc.
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To this he applied the axiom: a cause can never be less than its effect.
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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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Some authors require theories to also include all logical consequences of the axioms.
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This means that the two sets of axioms are interdependent and there is no axiom in one set which is independent from the other set.
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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.
en.wikipedia.org
Axioms 2, 3 and 4 can be summarized by saying that positive properties form a principal ultrafilter.
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This produces two different lines through a point both parallel to another line, contradicting the axiom.
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The set of axioms is often finite or recursively enumerable, in which case the theory is called effective.
en.wikipedia.org

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