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Let L(x, y) be the statement that a loves y. For each of the following statements, 1) translate the statement into first order predicate logic, 2) negate this expression and simplify as much as possible (pulling the negation inside), and 3) translate the negation back to English. Some of these may include propositions beyond just using the predicate L. - Everybody loves somebody. - Somebody loves everybody. - Socrates loves nobody. - Somebody who isn't Socrates loves Socrates. - Everybody loves somebody who isn't themselves. There are at least two people who love each other. - There are at least two people who love each other and no one else