[8_A_1]

Please answer the following question.

Please don't just answer the "True" or "False".

Answer them with detail explanation.

1. In a world of only objects X, Y and Z, a logical language is defined with constant symbols A, B and C, a function symbol f, and predicate symbols p, q and r. Given the following interpretation I, I(X) =A, I (Y) =A, I(Z) =B I(f) = { (A,B), (B,C), (C,C) } Note. in (i,j), i is an argument, j is a value I(p) = {A, B} I(q) = {C} I (r) = { ,,} For each of the following sentences, indicate whether it is true or false in the given interpretation I. r(X,Y) Ans: b. (f(2)) Ans: c. Jw, f(w) =Y Ans: d. Vw, r r(f(w), w) Ans: e. Vu, v, r(u, v)=(Vw, r(u,w) =v=w) Ans: a