[Solved] Following English Statements Translate Predicate Logic Ii Write Negation Statement Predica Q37162102

For each of the following English statements, (i) translate itinto predicate logic, (ii) write the negation of that statement inpredicate logic with the negation symbols pushed as far in aspossible so that any negation symbols are directly in front of apredicate, and then (iii) translate the result of (ii) back to(natural) English.

For the logic, let the domain of discourse be cats and food. Useonly the predicates Loves(x, y) and Likes(x, y) which say that catx loves or likes (respectively) food y; the predicates Cat(x) andFood(x), which say whether x is a cat or food (respectively); andthe predicates x = y and x 6= y, which say whether x and y are thesame object. (Use the constant “Garfield” to refer to Garfield inyour logical statements.)

(a) If a cat loves fish and lasagna, then it’s Garfield.

(b) There is some food that Garfield likes but no other catlikes.

(c) Every cat likes some food that Garfield does not like.

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Answer to For each of the following English statements, (i) translate it into predicate logic, (ii) write the negation of that sta… . . .