Question

Questions about logic.

Please Solve them ALL! (I have the right to ask the last question.)

Please write in a legible and annotated way, thank you.

Q1A)
Let P(x) be the statement “x can swim” and let Q(x) be the statement “x can play the guitar.” Express each of these sentences in terms of P(x), Q(x), quantifiers, and logical connectives. The domain for quantifiers consists of all students in your school.
a) No student in your school can swim or can play the guitar.
b) Every student in your school either can swim or can play the guitar.
c) There is a student in your school who can swim and who play the guitar.
d) There is a student in your school who can swim but who cannot play the guitar.

Q1B)
Translate in two ways each of these statements into logical expressions using predicates, quantifiers, and logical connectives. First, let the domain consist of the students in your class and second, let it consist of all people.
a) Everyone in your class has a computer.
b) Somebody in your class has seen a foreign movie.
c) There is a person in your class who cannot play the guitar.
d) All students in your class can program.
e) Nobody in your class wants to have the flu.

Answer 1

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