Select the Best Translation into Predicate Logic, Using the Following $\lor$

question 113

Multiple Choice

select the best translation into predicate logic, using the following translation key:
d: Diego
s: Sean
Dx: x is on the Dean's list
Px: x is a philosophy major
Sx: x is a student
Vx: x is a valedictorian
-Of the philosophy majors, only Diego is a valedictorian.

• A) Vd • (∀x)[Px ⊃ (~Vx \( \lor \) x=d)]
• B) Pd • Vd • (∀x)[(Px • Vx) ⊃ x=d]
• C) ~(∃x)(Px • Vx • x≠d)
• D) (∀x)[(Px • Vx) ⊃ x=d]
• E) (∃x)(∀y)[x=d • Vd • Pd • (Py ⊃ y=d)]

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Definitions:

Mundane Situation

Ordinary or everyday scenarios that are typically unremarkable or routine.

Closer Kin

Refers to an individual's family members who are closely related, such as parents, siblings, or children.

Prosocial Behaviour

Actions intended to benefit others, characterized by altruism, cooperation, and other positive social acts.

Positively Valued

Regarded with high esteem or importance, often due to perceived benefits, moral significance, or emotional attachment.