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In the domain of all movies, let V(x) be the predicate \"x is violent\" Write th

ID: 3791107 • Letter: I

Question

In the domain of all movies, let V(x) be the predicate "x is violent" Write the following statements in the symbols of predicate logic. Some movies are violent Some movies are not violent. No movies are violent. All movies are violent. In the domain of all books, consider the following predicates. H(x) = "x is heavy" C(x) = "x is confusing.' Translate the following statements in predicate logic into ordinary English. (Forall x)(H(x) rightarrow C(x)) () x) C(x) H(x)) (Forall x)(C(x) H(x)) (x)(H(x) C(x)) In the domain of nonzero integers, let l(x, y) be the predicate "x/y is an integer. Determine whether the following statements are true or false, and explain. why. (Forall y)(x)/(x, y) (x)(Forall y)/(x, y) Let the following predicates be given. The domain is all people. R(x) = "x is rude." R(x) = "x is pleasant.' C(x) = "x is a child." Write the following statement in predicate logic. There is at least one rude child. Formally negate your statement from part (a). Write the English translation of your negated statement.

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