证明：由公理模式和分离规则构成的命题逻辑公理系统不具有语法完全性。
And I prove the formal axiomatic system of prepositional logic that is made up of axiomatic Mode and the Rule of Detachment does not possess syntactic perfectibility.
数学归纳法推理是典型的三段论，而不是完全归纳法，其基础是自然数列的性质，而不是逻辑公理。
Mathematic induction is a typical syllogism, it is not complete induction, its base is the property of natural sequence, but not logic axioms.
强权即公理——这是帝国主义的逻辑。
事物的所有表示和模型的逻辑的，系统的，正式的，和公理性的开发。
The systematic, formal, axiomatic development of the logic of all forms and models of being.
通常，几何定理的证明是依据公理系统，按一定的逻辑规则演绎地进行。
Generally, the proving of geometry theorem is based on the axiom system, and is deducted according to certain logic rules.
实数集的上确界公理用到了实数集的子集，这是一种二阶逻辑的陈述。
The supremum axiom of the reals refers to subsets of the reals and is therefore a second-order logical statement.
提出和阐明了两个普遍的逻辑规律——代数替换公理与对偶原理。
The article puts forward and sets out clearly algebraic substitution axiom and the principle of duality, which are both universal logic laws.
再次，对凯尔逊思想中的公理化的倾向进行了分析，总结了凯尔逊的命令性规范的逻辑的思想。
Thirdly, the writer summarizes the notion of the logic of command-norm and argues that there is an axiomatic trend in Kelsen's thought.
其目的就是要在这种模型中，对模态逻辑形式推理系统的公理进行语义分析。
Within this model, semantic analyses are discussed for axioms of the formal reasoning system in modal logic.
最后通过这组公理系统来评估现有的逻辑覆盖测试准则。
Finally, the common logic coverage criteria are assessed against the axioms system.
“强权即公理”是强盗逻辑。
上下文：在一个证明过程中每一个陈述句都要被符合逻辑地用定义，定理或公理或前边已证明的命题加以判定。
Context: Each statement in a proof is logically justified by a definition, postulate, or an earlier proposition that has already been proven.
柏拉图方法以普遍可以被人接受的概念和公理为出发点，建立一个许多未被定义的具有逻辑连贯性的科学描述。
The Platonic approach starts from generally accepted concepts and global ideas of the world. They constitute a coherent picture in which many details are undefined.
它的本质在于用形式逻辑的方法处理辩证逻辑问题。本文指出逻辑循环和所谓“逆演绎”在建立公理系统中的合理性。
The paper points to the justification of the logic cycle and so called "anti-deduction" in the establishment of a axiomatical system.
它的本质在于用形式逻辑的方法处理辩证逻辑问题。本文指出逻辑循环和所谓“逆演绎”在建立公理系统中的合理性。
The paper points to the justification of the logic cycle and so called "anti-deduction" in the establishment of a axiomatical system.
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