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

Question 298

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 are exactly two philosophy majors on the Dean's list.


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

Correct Answer:

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