Consider the following predicates over the set U of all UBC students: P(x): x is doing a BA in philosophy. S(x): x speaks Swahili. H(x): x plays hockey. W(x): x likes watching the Weather Channel. K (x, y): person x knows (is acquainted with) person y. Translate each of the following predicate logic statements into English. Try to make your English translations as natural sounding as possible. (a) exist x elementof U, forall z elementof U, P(z) rightarrow K (x, z) (b) forall x elementof U, exist y elementof U, forall z elementof U, K (x, y) logicaland [(K (y, z) rightarrow ~ K(z, x)]