axiom u rečniku PONS

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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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His proofs often invoke axiomatic notions which were not originally presented in his list of axioms.
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Thus, what the axiom is really saying is that two sets are equal if and only if they have precisely the same members.
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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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Some authors require theories to also include all logical consequences of the axioms.
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Accepting only the axiom schema of specification was the beginning of axiomatic set theory.
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In logic programming, a program consists of a set of axioms and rules.
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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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This produces two different lines through a point both parallel to another line, contradicting the axiom.
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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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