Chapter 12: PROPOSITIONAL LOGIC - SYMBOLIC NOTATION - Self-Quiz -

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No. of Questions= 12

Each item in this exercise is a sentence for you to put into the notation of propositional logic. To represent the components, use the letters that appear in parentheses after each sentence.
To indicate negation, use a tilde (~).
To indicate "or," use a lower-case "v" (v).
To indicate "if-then," use a greater-than symbol ( > ).
To indicate "and," use an asterisk (*).
To indicate "if and only if," use an equals sign (=).

 1. I told you once and I told you twice, but you never listen to my advice. (O, T, N) 2. He will quit his job only if he gets a big raise. (Q, G) 3. Julianne will try for the green with a long iron, or else chip out onto the fairway. (G, F) 4. I'll call the police or go out looking if she isn't home soon. (P, L, H) 5. Jennie wanted to save the ship, but neither the passengers nor the crew were willing to help. (W, P, C) [P = the passengers were willing to help. C = the crew were willing to help.] Hint: There are two ways to correctly symbolize this proposition, both of which will be accepted by LogicTutor's scoring mechanism. 6. Jennie wanted to save the ship, but neither the passengers nor the crew were willing to help. (W, P, C) [P = the passengers were willing to help. C = the crew were willing to help.] Note: For this problem, you should use a different symbolization than used for the problem 5. 7. The plant will die if it is not getting sun and not getting water. (D,S, W) 8. The argument is sound if and only if the premises are true and the argument is valid. (S, T, V) 9. Unless I work all night, I won't finish the paper and I'll flunk the course. (W, P, C) Hint: There are two ways to correctly symbolize this proposition, both of which will be accepted by LogicTutor's scoring mechanism. 10. Unless I work all night, I won't finish the paper and I'll flunk the course. (W, P, C) Note: For this problem, you should use a different symbolization than used for the problem 9. 11. If you owe the bank a hundred dollars, it is your problem; but if you owe them a million dollars, it is their problem. (H, Y, M, T) 12. If we put a man on the moon but cannot cure the common cold, then if we put a man on Venus, we will not be able to cure acne. (M, C, V, A)

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