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3. In the domain of all people, consider the following predicate. P(x,y)-r needs a friend y. (a) Write the sentence Everybody needs a friend in

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3. In the domain of all people, consider the following predicate. P(x,y)-"r needs a friend y". (a) Write the sentence "Everybody needs a friend" in predicate logic. (b) Formally negate the above sentence in predicate logic and simplify this sentence by using the equivalences VaF(x) 3xF(x) and-3zF(x): VzF(x). (c) Write the English translation of your negated sentence

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