Question: To translate the provided sentences into First - Order Logic ( FOL ) in a form suitable for use with generalized Modus Ponens, we can

To translate the provided sentences into First-Order Logic (FOL) in a form suitable for use with generalized Modus Ponens, we can use the following predicates:-(\text{Human}(x)): ( x ) is a human.-(\text{Mortal}(x)): ( x ) is mortal.-(\text{Student}(x)): ( x ) is a student.-(\text{MiddleSchooler}(x)): ( x ) is a middle schooler.-(\text{HighSchooler}(x)): ( x ) is a high schooler.-(\text{HasLaptop}(x)): ( x ) has a laptop.-(\text{Loves}(x, y)): ( x ) loves ( y ).-(\text{Animal}(y)): ( y ) is an animal.-(\text{Person}(x)): ( x ) is a person.Now we can translate each sentence:1. All humans are mortal. [\forall x (\text{Human}(x)\rightarrow \text{Mortal}(x))]2. Middle schoolers and high schoolers are students. [\forall x ((\text{MiddleSchooler}(x)\lor \text{HighSchooler}(x))\rightarrow \text{Student}(x))]3. Every student has a laptop. [\forall x (\text{Student}(x)\rightarrow \text{HasLaptop}(x))]4. There exists a person who loves every animal. [\exists x (\text{Person}(x)\land \forall y (\text{Animal}(y)\rightarrow \text{Loves}(x, y)))]These translations capture the meanings of the sentences in a structured format appropriate for First-Order Logic and can be used effectively with generalized Modus Ponens.

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