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

question 152

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
-Only Sean and Diego are both on the Dean's list and philosophy majors.

• A) (∀x)[(Dx • Px) ⊃ (x=s • x=d)]
• B) (∀x)[(Dx • Px) ⊃ ~(x=s • x=d)]
• C) Ds • Ps • Dd • Pd • [(∃x)(Px • Dx) ⊃ ~(x=s • x=d)]
• D) Ds • Dd • Ps • Pd • (∀x)[(Dx • Px) ⊃ (x=s \( \lor \) x=d)]
• E) Ds • Ps • Dd • Pd • (∀x)[(Dx • Px) ⊃ ~(x=s • x=d)]

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Definitions:

Deductive Thinking

A logical process in which a conclusion is based on the concordance of multiple premises that are generally assumed to be true.

Inductive Thinking

A reasoning process that involves drawing general conclusions from specific observations or instances.

Egocentrism

A cognitive trait where individuals have difficulty understanding or acknowledging perspectives other than their own.