Question

Consider the following symbolization key: C(z): z wears a cape H(y): y is a hero What English sentence is symbolized by the following sentence of FOL?

Ǝx(C(x) ^ H()) A-Vx(C(x) + H(2)

a. Some heroes wear capes, yet not only heroes wear capes.
b. A hero wears a cape, although another hero doesn't wear a cape.
c. Some heroes wear capes, and not every hero wears a cape.
d. Some capes are worn by heroes, but some hero doesn't wear a cape.

Answer 1

The given FOL sentence can be translated to English as "There exists an object x who wears a cape and is a hero." The correct English sentence that symbolizes the given FOL sentence is: c. "Some heroes wear capes, and not every hero wears a cape."

Step-by-step explanation:

The given sentence in FOL, Ǝx(C(x) ^ H()), can be translated to English as "There exists an object x who wears a cape and is a hero." The existential quantifier (∃) indicates that there is at least one object that satisfies the given conditions. In this case, there is at least one person who wears a cape and is a hero.

The correct English sentence that symbolizes the given FOL sentence is: c. Some heroes wear capes, and not every hero wears a cape.