Discussion
Which of the following is FALSE?
Read ^ as And, v as OR, ~as NOT, →as one way implication and ↔ as two way implication?
Answer: D
Correct answer: ((x v y) ↔( ~x v ~y))
This fails whenever x and y have the same truth value: with both true, the left side is true and the right false, so the biconditional is false. The other three are valid - modus ponens, an implication with a self-contradictory antecedent, and the addition law - and a valid formula cannot be the false one.
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