6. Logic

B. Inwood
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Abstract

‘Logic’ explains that logic has a broad and a narrow sense in Stoic theory and deals with a subset of sayables and meanings. Their logic is close to what we would call propositional logic. Chrysippus was the pioneer and genius of Stoic logic. He seems to have held that in simple assertoric logic all valid inference forms could be reduced to combinations of five basic and indemonstrable argument forms, with the assistance of several other logical and metalogical principles. The Stoics also worked extensively on modal syllogistic and other areas of research in logic with a sophistication not paralleled in some cases until the 20th century.
6. 逻辑
“逻辑”解释了逻辑在斯多葛派理论中有广义和狭义之分,并处理了可说词和意义的子集。他们的逻辑接近于我们所说的命题逻辑。克里西普斯是斯多葛派逻辑的先驱和天才。他似乎认为,在简单的断言逻辑中,所有有效的推理形式都可以在其他几个逻辑和元论原则的帮助下,归结为五种基本的、不可论证的论证形式的组合。斯多葛学派还在模态三段论和其他逻辑研究领域进行了广泛的研究,其复杂性在某些情况下直到20世纪才得以比拟。
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