Select the Best English Interpretation of the Given Statements of Predicate

question 157

Multiple Choice

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.

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Definitions:

Income

The financial gain received by an individual or entity, usually from work, investments, business ventures, or other sources.

Expected Utility Function

A mathematical representation that calculates the overall utility that an individual can attain, based on different outcomes and their respective probabilities.

Sure Payment

A guaranteed payment or financial transaction where the receiver has complete certainty of receiving the specified amount.

Lottery

A form of gambling involving the drawing of numbers for a prize, often used as a method to allocate scarce resources such as green cards or in decision theory as a risk model.