Select the Best Translation into Predicate Logic, Using the Following

question 263

Multiple Choice

select the best translation into predicate logic, using the following translation key:
b: Bhavin
c: Chloe
m: Megha
n: Nietzsche
p: Plato
Ax: x is an altruist
Jx: x is joyful
Px: x is a philosopher
Rx: x is Russian
Tx: x is thoughtful
Bxy: x is a brother of y
Mxy: x mocks y
Rxy: x is richer than y
Sxy: x is smarter than y
-All thoughtful philosophers except Nietzsche are altruists.

• A) (∀x)(Px • Tx • x≠n • Ax)
• B) (∀x)[x≠n ⊃ (Px • Tx • Ax)]
• C) Pn • Tn • ∼An • (∀x)[(Px • Tx • x≠n) ⊃ Ax]
• D) (∀x)[(Px • Tx • Ax) ⊃ x≠n]
• E) Pn • Tn • ~An • (∀x)[(Px • Tx • Ax) ⊃ x≠n]

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Definitions:

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