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LING101_3rd assignment

LING101_3rd assignment - LING 110 Third Assignment(due on...

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LING 110 Third Assignment (due on Thursday, 4/2) ** Late homework will NOT be accepted. ** If not specified, is i (inclusive OR ). 1. Which of the following formulae are equivalent? i. if A, then B ii. A and (not B) iii. (not A) or B iv. (not A) and B b. i and ii c. ii and iii d. iii and iv e. None of the above 2. Given the following truth values for the propositions P, Q and R below P Rincewind is a coward: TRUE Q Cohen is a banker: FALSE R Binky is a horse: TRUE the truth value of the complex expression (a) (a) (Rincewind is a coward OR i Cohen is a banker) AND Binky is a horse. is: a. TRUE b. FALSE 3. Which of the following is an accurate truth table for the complex expression (a) in question 2 ? Table 1 P Q R ( P OR i Q ) AND R T T T T T T F T T F T T T F F T F T T T F T F F F F T F F F F F 1
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2 Table 2 P Q R ( P OR i Q ) AND R T T T T T T F F T F T T T F F F F T T T F T F F F F T F F F F F a. Table 1 b. Table 2 c. Table 1 and Table 2 d. None of the above 4. The combination [ P or i Q and R ] is ambiguous. It can be disambiguated by different bracketings, as in (i) and (ii) below. (i) P or i (Q and R) (ii) (P or i Q) and R Are (i) and (ii) equivalent? a. Yes b. No 5. Which of the following tree diagrams correctly represent possible structures of the given proposition X below? X= It is not the case that John is tall and it is not the case that Jane is cute. NOT 1 P AND NOT 2 Q
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3 a. i and ii b. ii and iii c. iii and iv d. i and iii
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