PHIL-125 Lecture Notes - Lecture 16: Contraposition, Syllogism, Obversion
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Testing a syllogism for validity on the aristotelian interpretation If the syllogism proves validity, it is unconditionally valid and valid in both interpretations. 2if it proves invalid using the boolean diagram, it may still be conditionally valid on the aristotelian interpretation if it has 2 universal premises and a particular conclusion. 3if so, add the circled x into a single unshaded sectior of one circle. Then check if the addition of the circled x shows the syllogism valid. If it does, the syllogism is conditionally valid and becomes valid when the circle"s term represents existing objects. If the circle then represents non-exisiting objects or adding a circled x doesn"t show the syllogism valid or no circle with one unshaded sector exists, then the syllogism is invalid. Distributed terms are when all members of the terms class are affected by the proposition.