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Venn Diagrams for Categorical Syllogisms
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Venn Diagrams for Categorical Syllogisms
Syllogism:
Argument consisting of two premises and one conclusion.
Categorical Syllogism:
A syllogism consisting of 3 categorical propositions and 3 distinct terms, each appearing twice.
Because we are dealing with arguments having 3 terms, we need a Venn diagram with 3 circles.
5. Be careful to shade all of the area in question
6. If a part of an area has already been shaded, then the X goes in the unshaded part. If neither part of an area is shaded, then put the X on the line separating them.
7. Never put an X on a line on the outside of the diagram and never put one at an intersection.
Pointers (267):
1. Marks are entered for premises only.
2. If the argument contains one universal premise, that premise must be entered first. If there are two universal premises, either can be entered first.
3. When entering information in a premise, concentrate on the circles corresponding to the two terms in that premise.
4. Remember that "Some S are P" means "At least one S exists and that S is a P" and "Some S are not P" means that "At least one S exists and that S is not a P."