Question

We are given the following predicates below:

D = set of all characters in Star Wars
R(x) = “x is a droid”
S(x) = “x lives on the Death Star”
M(x) = “x was in the first Star Wars movie”
Express each of the following statements using quantifiers, variables, and the predicates R(x), S(x), M(x).

"There is a droid who was also in the first Star Wars movie"
"All droids live on the Death Star"

Answer 1

To express the statement "There is a droid who was also in the first Star Wars movie", use the existential quantifier (∃). To express the statement "All droids live on the Death Star", use the universal quantifier (∀).

Step-by-step explanation:

To express the statement "There is a droid who was also in the first Star Wars movie", we can use the existential quantifier (∃). So, the statement can be written as:

∃x (R(x) ∧ M(x))

To express the statement "All droids live on the Death Star", we can use the universal quantifier (∀). So, the statement can be written as:

∀x (R(x) → S(x))