select the best translation into predicate logic.
-Some apriorist is a skeptic if, and only if, s/he is an inconsistent empiricist.
A) (∃x)[(Ax • Sx) ⊃ (Ex • ∼Cx)]
B) (∃x)[(Ax • Sx) ≡ (Ex $ \lor $ ∼Cx)]
C) (∃x)[(Ax • Sx) ≡ (Ex • ∼Cx)]
D) (∃x)[(Ax • Sx) ⊃ (Ex $ \lor $ ∼Cx)]

Question

Quizplus · Accepted Answer

Option C represents the correct translation into predicate logic. The statement states that if someone is an apriori skeptic, then they must be an inconsistent empiricist, and vice versa. This can be represented using the biconditional operator "≡". Therefore, (∃x)[(Ax • Sx) ≡ (Ex • ∼Cx)] accurately captures the given statement.

Select the Best Translation into Predicate Logic ∨ \lor ∨ ∼Cx)] C) (∃X)[(Ax • Sx) ≡ (Ex • ∼Cx)] D)

Select the Best Translation into Predicate Logic $\lor$ ∼Cx)]
C) (∃X)[(Ax • Sx) ≡ (Ex • ∼Cx)]
D)