axiom 在《牛津英西词典》中的词汇

词条axiom在英语»西班牙语中的译文 (跳至 西班牙语»英语)

词条axiom在西班牙语»英语中的译文 (跳至 英语»西班牙语)

axiom 在《PONS词典》中的词汇

词条axiom在英语»西班牙语中的译文 (跳至 西班牙语»英语)

词条axiom在西班牙语»英语中的译文 (跳至 英语»西班牙语)

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单语范例（未经PONS编辑处理）

英语
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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