Here is a statement in predicate logic form: FOR-ALL(x, y) [ IF BondVillain(x) A
ID: 3009951 • Letter: H
Question
Here is a statement in predicate logic form:
FOR-ALL(x, y) [ IF BondVillain(x) AND Pet-Of(x, y)
THEN Cat(y)]
The meaning of this can be expressed as: "All pets of Bond villains are cats." Now,
using the same predicates BondVillain and Cat, and the relation Pet-Of, express the
following three ideas in predicate logic form:
4.1. All Bond villains have pets.
4.2. Not all cats are pets of Bond villains. (Or, equivalently: there is at least one cat,
somewhere, who is not the pet of a Bond villain..)
4.3. No Bond villain has two cats as pets.
Explanation / Answer
Answer 4.1) All bond villians have pets
FOR-ALL(x.y) [IF BondVillain(x) THEN PET-Of(x,y]
Interpretation :This implies that for every pair of x and y, if x is a bond villian then there exists
a pet y belonging to the villain x.
Answer 4.2) Not all cats are pets of Bond villains.
FOR-SOME(x.y) [IF cat(x) AND NOT BondViilian(y) then Pet-Of(y,x)]
Interpretation :This meas that there exists some cats as pets that doesn't belong to the bond
villians.
Answer 4.3) No Bond villain has two cats as pets.
FOR-SOME(x.y) [IF cat(x) AND NOTBondViilian(y) then Pet-Of(y,x)]
Interpretation : There exists no two cats that belong to ( are pet of ) one bond villian.
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