d) Everyone who eats granola everyday is healthy. Linda is not healthy. Therefor

Question

d) Everyone who eats granola everyday is healthy. Linda is not healthy. Therefore, Linda does not eat granola every day.

Explanation / Answer

a: correct (law of Modus Ponens: a -> b, since True -> False is false, if a = true, then b must be true to make the proposition true). b: incorrect (the converse of A -> B is not always true since if B is true, then A can be true OR false for the proposition to be true.) c: incorrect. (A -> B. -in this case if an animal is a parrot, then it likes fruit - if A is False, then B can be true OR false for the proposition to be true). d: correct. the contrapositive of a proposition is always true (if A -> B is true, then ~A -> ~B is also true).

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