Constitute a syllogism consists of three categorical proposition, two of which is the premise, one conclusion ...

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This paper carries out full analysis on Aristotle's theory on categorical proposition and points out that he introduced,for the first time in logic history,term variable,established opposition matrix,and laid basis for syllogism.

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From a contemporary logic point of view, Aristotelian assertorical syllogism can be reduced to first figure of categorical syllogism.

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Legal syllogism is the basic model which is used by the accuser, the defender and the trier in criminal trial. What is its logical foundation? There are mainly three kinds of viewpoints up to now. According to traditional theory, it is categorical syllogism and deductivists think it is whole deductive logic, while anti-deductivists deny that logic plays an important role in a trial.

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The traditional type is the categorical syllogism in which both premises and the conclusion are simple declarative statements that are constructed using only three simple terms between them, each term appearing twice (as a subject and as a predicate):"All men are mortal; no gods are mortal; therefore no men are gods."

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