Discrete Math Exercise: Predicates and Quantifiers
Express statements about babies, logic, crocodile management, and despisement using quantifiers and logical connectives. Determine implications between statements and reach a correct conclusion based on the given predicates and domain. Solutions and references provided.
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Discrete Math: Predicates and Quantifiers Exercise 31
Exercise Let P(x), Q(x), R(x), and S(x) be the statements x is a baby, x is logical, x is able to manage a crocodile, and x is despised, respectively. Suppose that the domain consists of all people. Express each of these statements using quantifiers; logical connectives; and P(x), Q(x), R(x), and S(x). a) Babies are illogical. b) Nobody is despised who can manage a crocodile. c) Illogical persons are despised. d) Babies cannot manage crocodiles. e) Does (d) follow from (a), (b), and (c)? If not, is there a correct conclusion?
References Discrete Mathematics and Its Applications, McGraw-Hill; 7th edition (June 26, 2006). Kenneth Rosen Discrete Mathematics An Open Introduction, 2nd edition. Oscar Le in A Short Course in Discrete Mathematics, 01 Dec 2004, Edward Bender & S. Gill Williamson
