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 FirstOrder Logic FOL in a form suitable for use with generalized Modus Ponens, we can use the following predicates:textHumanx: x is a human.textMortalx: x is mortal.textStudentx: x is a student.textMiddleSchoolerx: x is a middle schooler.textHighSchoolerx: x is a high schooler.textHasLaptopx: x has a laptop.textLovesx y: x loves y textAnimaly: y is an animal.textPersonx: x is a person.Now we can translate each sentence: All humans are mortal. forall x textHumanxrightarrow textMortalx Middle schoolers and high schoolers are students. forall x textMiddleSchoolerxlor textHighSchoolerxrightarrow textStudentx Every student has a laptop. forall x textStudentxrightarrow textHasLaptopx There exists a person who loves every animal. exists x textPersonxland forall y textAnimalyrightarrow textLovesx yThese translations capture the meanings of the sentences in a structured format appropriate for FirstOrder Logic and can be used effectively with generalized Modus Ponens.
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