Unit+3+Practice+Exam+Answers

Unit+3+Practice+Exam+Answers - Unit 3 Practice Exam...

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Unit 3 Practice Exam Answers: Using the suggested abbreviations (the capitalized words), translate each of the following into the language of predicate logic: Section A: covers material from chapter 6 1. KAY is a JUNIOR. [2] Jk [all or nothing] 2. BARRY and JESS are SOPHOMORES [3] Sb & Sj 3. MOSES does not LOVE WALTER. [3] ~Lmw [take off 1 for absence of negation/ take off 1 for letters in wrong order] NB. There is no ambiguity in using 'not' here cos there is only one thing it could be attached to (i.e. the predicate ___ loves ____) 4. If MARK is HAPPY, then BARRY is SAD [4] Hm Sb [Take off 2 if there is something wrong with either the antecedent or consequent (but the other is correct)] 5. Everything is PERMITTED. [2] xPx [All or nothing] 6. Nothing is GOOD. [3] ~ xGx OR Ǝ x~Gx [Take off 2 for wrong quantifier/negation combination] 7. Some STUDENT is not TALL. [3] x(Sx & ~Tx) [take off 1 for wrong Ǝ quantifier/ take off 1 for absence of negation/ take off 1 for using arrow instead of ampersand/ take off 1 for having predicates in wrong order] 8. Not every MAN is EVIL. [3] ~ x(Mx Ex) OR Ǝ [Take off 2 for wrong quantifier/negation combination; take off 1 for use of wrong connective – arrow vs ampersand] 9. Every TEACHER is not HAPPY [4] x(Tx ~Hx) OR ~ x Ǝ (Tx & Hx) [Take off 2 for putting negation before universal quantifier/ Take off 2 for omitting
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Unit+3+Practice+Exam+Answers - Unit 3 Practice Exam...

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