2. Let P be the set of all people. Consider the following predicates, all with domain...

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2. Let P be the set of all people. Consider the following predicates, all with domain P: A(x)="x is an athlete" T(x)="x is a teacher" S(x, y)="r is shorter than y" L(x, y)="r likes y" Write the following statements formally, using the given predicates. The domain for all variables must be P; do not define new sets. There is no need to justify. (a) (3 points) "There exists a person that is liked by everyone" (b) (3 points) "Every teacher likes every athlete" (c) (4 points) "No athlete is shorter than any teacher" 2. Let P be the set of all people. Consider the following predicates, all with domain P: A(x)="x is an athlete" T(x)="x is a teacher" S(x, y)="r is shorter than y" L(x, y)="r likes y" Write the following statements formally, using the given predicates. The domain for all variables must be P; do not define new sets. There is no need to justify. (a) (3 points) "There exists a person that is liked by everyone" (b) (3 points) "Every teacher likes every athlete" (c) (4 points) "No athlete is shorter than any teacher"

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a There exists a person that is liked by everyone z P There exists a p... View the full answer