Every player except Michael is healthy.
A) Pm • ∼Hm • (∃x)(Px • x ≠ m • Hx)
B) Pm • ∼Hm • (x)(Px • x ≠ m ⊃ Hx)
C) Pm • ∼Hm • (x)[(Px • x ≠ m) ⊃ Hx]
D) (x)(Px • ∼Hx • x ≠ m) ⊃ ∼Hm
E) (∃x)(Px • ∼Hx • x ≠ m) ⊃ (Pm • ∼Hm)

Question

Quizplus · Accepted Answer

The statement can be translated as "Michael is the only player who is not healthy". This can be rewritten as "Everyone else besides Michael is healthy". The correct logical form would be "Pm • ∼Hm • (x)[(Px • x ≠ m) ⊃ Hx]". This translates to "Michael is a player who is not healthy and for all other players, if they are players and not equal to Michael, then they are healthy."

Every Player Except Michael Is Healthy