PHIL-125 Lecture Notes - Lecture 14: Syllogism

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Venns diagram for a categorical syllogisms are graphic representations of the truth conditions for both premises of the syllogism. In all cases the premises are true, the conclusion is true as well. In cases with a subject, predicate, and a middle term as well, 3 circles are used instead of two. The m circle is completely shaded except where it intersects with the p circle. The s circle is completely shaded except where it intersects with m. Draw a red line perimetre around the area specified in the conclusion. Everything s outside of p (the red area) should be completely shaded. If an area is double shaded, the argument is invalid. Shade the section of the m circle that intersects with p. The middle section (red area) should be shaded and it"s not. The section where p and m but not s is double shaded. One premise is universal, the other is particular.

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