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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