select the best translation into predicate logic, using the following translation key:
h: Hume
l: Locke
Px: x is a philosopher
Rx: x is a rationalist
Ixy: x influenced y
Sxy: x is more skeptical than y
-Hume is not more skeptical than some philosophers.
A) ~(∃x)(Px • Sxh)
B) (∃x)(Px • ∼Shx)
C) ~(∀x)(Px • Shx)
D) (∃x)(Px ⊃ ~Shx)
E) (∃x)(~Shx ⊃ Px)

Question

Quizplus · Accepted Answer

The statement can be translated as "There exists some philosopher who is equally or more skeptical than Hume." This can be represented as (∃x)(Px ∧ Sxh) or, equivalently, (∃x)(Px ∧ ¬Shx). Choice B is the only one that matches this translation.

Select the Best Translation into Predicate Logic, Using the Following