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

Question

Quizplus · Accepted Answer

Choice B correctly translates the statement by stating that for every person who trusts someone, there exists another person who is trusted by the first person. The use of the conditional ensures that the statement is true for all cases, even if there are individuals who do not trust anyone. The other choices either do not include the necessary existential quantifiers or use incorrect logical connectives.

Every Person Trusts Someone or Other