- Question 2 A Given Predicates 1 X X Is Wise And E N X Knows Y And A Domain P A B C And The Truth Set Of I 1 (30.44 KiB) Viewed 31 times
Question 2 (a) Given Predicates 1(x)="x is wise" and E(N) = "x knows y", and a domain P= {a,b,c), and the truth set of I() is (a), and the truth set of E(x,y) is { (a), (bb). (cc). (ac). (,)). [The truth set of a predicate is the set of elements in the domain that make the predicate a true statement) i) is the statement (VEP) (3P):1()=E( xx) true? (2 marks) 1) Is the statement (3yEP): (VEP) -E ( x ) V-1(x) true? (2 marks) ii) What is the negation of everyone who is wise knows themselves"? Write your answers in symbols and colloquial English (4 marks) (6) Determine whether the relation R on the set of all integers is reflexive, symmetric, antisymmetric, and/or transitive, where (x, y)ER it and only it