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1·The criticism of the traditional logic.

对传统逻辑的若干批评。

2·Reductive inference in traditional logic is performed under certain condition.

传统逻辑学的演绎推理是在一定的条件限制之下进行的。

3·However, it is attested by history that the existence of traditional logic has its own reason and foundation.

历史证明，形式逻辑(传统逻辑)有其自身存在的理由、根据。

4·Traditional logic and modern logic have some defects in analyzing the hypothetical proposition of natural language.

传统逻辑和模态逻辑在分析自然语言假言命题方面都存在缺陷。

5·Although there is some analysis from the human point of view, it is restricted by the traditional logic of Western economics.

虽然有从“人性”角度出发的分析，但未跳出西方经济学的传统逻辑。

6·Kant might still maintain that logic in Frege's sense, being stronger than the traditional logic, goes beyond the bounds of the analytic.

康德可能会指出，弗雷格意义上的逻辑要比传统逻辑强，已经越出了分析性的边界。

7·Aristotle was the founder of traditional logic, and G-Frege, a famous mathematician of German, was the founder of modern mathematical logic.

亚里士多德是传统逻辑的创始人。弗雷格，德国著名的数学家，逻辑学家，是现代数理逻辑的创始人。

8·The theory of metalogic comprises the concept, the character, the range of logic and the connection between modern logic and traditional logic.

逻辑元理论包括：逻辑的概念、逻辑的性质、逻辑的范围、传统逻辑与现代逻辑的关系等。

9·Rene Descartes thought that he proposed the intuition is the foundation of method is because the traditional logic deduction in theoretically and in the practice in flaw.

这正是本文论证的重点，笛卡尔之所以提出直观的基础方法，乃是因为传统单一逻辑推演方法在理论上与实践上的缺陷。

10·This paper analyzes Aristotelian Syllogism, discusses the deference between Aristotelian Syllogism and traditional logic syllogism and several characteristics of Aristotelian Syllogism.

分析了亚里士多德三段论，论述了亚里士多德三段论与传统逻辑三段论的区别及其自身的一些特点。