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

question 268

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
-There is exactly one philosophy major on the Dean's list.

• A) (∃x){(Px • Dx) • (∀y)[(Py • Dy) ⊃ y=x]}
• B) (Pd • Ps) ⊃ [(Dd \( \lor \) Ds) • ~(Dd • Ds)]
• C) (∀x)(∀y){[(Px • Dx) • (Py • Dy)] ⊃ x=y}
• D) (∃x){(Px • Dx) ⊃ (∀y)[(Py • Dy) ⊃ x=y]}
• E) (Pd • Dd) \( \lor \) (Ps • Ds)

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Definitions:

Ethical Reasons

Considerations based on moral principles or values, often guiding decisions and actions in professional and personal contexts.

Practical Reasons

Reasons or motives based on practicality or usefulness, rather than theoretical or ethical considerations.

Sexual Harassment

Unwelcome or inappropriate sexual advances, requests for sexual favors, and other verbal or physical harassment of a sexual nature.

Naturalistic Observation

A research method in which subjects are observed in their natural environment without interference from the researchers.