PHIL 1102 Chapter Notes - Chapter 4.6: Venn Diagram, Syllogism
Document Summary
Typically the x symbol has been used to represent the presence of an object. In the traditional standpoint (cid:840)aristotelian(cid:841) and x with a circle around it represents existence confirmed by a a or e proposition (cid:840)shows existential import(cid:841) A and e proposition are where the (enn diagrams for boolean and aristotelian logic differ. I and o propositions have the same (enn diagrams for both standpoints. Same rules from square of opposition apply to the (enn diagrams. If a is true, e is false. If a is false, we cannot logically determine the truth value of e. If o is false, i must be true. If o is true, we cannot logically determine the truth value of i. It is best to test if the inference is valid from the boolean standpoint first, since if it is then it is valid for both.