select the best English interpretation of the given statements of predicate logic.
f: Fifi
g: Gigi
Px: x is a poodle Qx: x is abused
Rx: x is loved
Sx: x will fetch balls
Tx: x will fetch sticks.
-(∀x)(Px ⊃ Qx) ⊃ (∃x)(Px • ∼Rx)
A) If all poodles are abused, then some poodles are loved.
B) If no poodles are loved, then some poodles are abused.
C) If all poodles are abused, then some poodles are not loved.
D) If some poodles are abused, then no poodles are loved.

Question

select the best English interpretation of the given statements of predicate logic. 
f: Fifi
g: Gigi
Px: x is a poodle Qx: x is abused 
Rx: x is loved
Sx: x will fetch balls 
Tx: x will fetch sticks.
-(∀x)(Px ⊃ Qx) ⊃ (∃x)(Px • ∼Rx)
A) If all poodles are abused, then some poodles are loved.
B) If no poodles are loved, then some poodles are abused.
C) If all poodles are abused, then some poodles are not loved.
D) If some poodles are abused, then no poodles are loved.

Quizplus · Accepted Answer

The correct interpretation of the given statement is "If all poodles are abused, then there exists at least one poodle that is not loved." This matches choice C.

Select the Best English Interpretation of the Given Statements of Predicate