Every person dislikes someone or other.
A) (x)Px ⊃ (∃y)(Py • Dxy)
B) (∃x)[Px • (y)(Py • Dxy)]
C) (x)[Px ⊃ (∃y)(Py • Dxy)]
D) (∃x)[Px • (∃y)(Py • Dxy)]
E) (x)[Px ⊃ (∃y)Py • Dxy]

Question

Quizplus · Accepted Answer

The statement "Every person dislikes someone or other" can be translated as "For every person x, there exists someone y that x dislikes." This is represented as (x)[Px ⊃ (∃y)(Py • Dxy)] in the given choices, where Px means "x is a person" and Dxy means "x dislikes y." This is the correct choice.

Every Person Dislikes Someone or Other