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Exam 2 Practice Test. I. Translating statements in English to propositional logic (10, 2 points each). 1. If c ats have tails and b oys eat worms then a ardvarks are anteaters only if d ragons don’t exist.
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I. Translating statements in English to propositional logic (10, 2 points each) • 1. If cats have tails and boys eat worms then aardvarks are anteaters only if dragons don’t exist. • 2. Unless logic satisfies the math requirement, two semesters of French satisfy the language requirement and if one KLEPs English 101, then one does not have to take any English classes at CCU.
II. Determine the truth value of various statement forms (5, 2 points each) • 1. What is the truth value of ‘p q’ where p is true and q is true? ____________ • 2. What is the truth value of ‘p v q’ where p is false and q is true? _____________
III. Computing the truth value of longer propositions given the truth value of the parts and identity the main operator (10, 2 points each) (A, B, and C are true and D, E, and F are false) • 1. (A v E) [(~F A) (~B C)] • 2. [~(D ~A) v (~E B)] [~C (F ~A)]
IV. Constructing truth tables • 1. [A v (~B ~C)] (B v ~A)
V. Construct indirect truth tables • 1. G H / H I / ~I // ~G • 2. K v ~W / S ~K / W K
VI. Recognizing argument forms and fallacies (10, 2 points each) • 1. (~R T) ~J • (~R T) • ~J • A. Modus Ponens • B. Modes Tollens • C. Affirming the Consequent • D. Denying the Antecedent
2. ~[H (~G F)] v (Y T) • ~[H (~G F)] • (Y T) • A. Modus Ponens • B. Disjunctive Syllogism • C. Constructive Dilemma • D. Invalid