Construct a truth table to determine whether the following expression is a tautology, contradiction, or a contingency. (r ʌ (p ® q)) ↔ (r ʌ ((r ® p) ® q)) |
Use the Laws of Logic to prove the following statement: r ʌ (p ® q) Û r ʌ ((r ® p) ® q) [Hint: Start from the RHS, and use substitution, De Morgan, distributive & idempotent] |
Based on (a) and/or (b), can the following statement be true? |
(p ® q) Û ((r ® p) ® q) |
[Hint: Take a look at the statement – r ʌ a Û r ʌ d – in general] |
Using the Rules of Inference, prove that the following is a valid argument: If it is not true that I am a bullet proof monk or I am James Bond, then I must be a hairless orangutan. It is indeed not true that I am a bullet proof monk or I am a hairless orangutan. Therefore, I must be James Bond. |
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