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

Question 202

Multiple Choice

select the best translation into predicate logic, using the following translation key:
b: Britain
c: Charles
e: Elizabeth
t: Tescos
Px: x is a person
Qx: x is a Queen of England
Wx: x is a woman
Exy: x is more exalted than y
Ixy: x is in y
Pxy: x shops at y
Sxy: x is a son of y
-Any son of Elizabeth or Charles is more exalted than anyone who is not Charles, Elizabeth, or a son of either.


A) (∀x) [(Px • x≠e • x≠c • Sxe • Sxc) ⊃ (∀y) (Py ⊃ Exy) ]
B) (∀x) {(Sxe \lor Sxc) ⊃ (∀y) [(Py • y≠c • y≠e • ~Sye • ~Syc) ⊃ Exy]}
C) (∀x) (∃y) {(Eyx • Py) ⊃ [(Sxe \lor Sxc) ⊃ (y=e \lor y=c \lor y=x) ]}
D) (∀x) {(∃y) (Eyx • Py) ⊃ [(Sxe \lor Sxc) ⊃ (Ecx • Eex) ]}
E) (∀x) {[(Sxe \lor Sxc) • x≠c • x≠e] ⊃ (∀y) (Py ⊃ Exy) }

Correct Answer:

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