Suppose that variable x represents students and variable y represents courses. U

Question

Suppose that variable x represents students and variable y represents courses. Use the predicates F(x): "x is a freshman", S(x): "x is a sophomore", A(y): "y is an advanced course", T[x,y): "student x is taking course y" and any needed quantifier s and logical operators in order to translate the following statements into logical expressions. There is a course that every freshman is taking. No freshman is a sophomore. Some freshman is taking an advanced course. Not all students who take an advanced course are sophomores.

Explanation / Answer

a)

We represent the statement “for all the freshman” with (F(x) and for every course with y

yx(F(x) T(x,y)).

b)

We represent the statement “for all the freshman” with (F(x) and sophomore with S(x)

¬x(F(x) S(x).

c)

We represent the statement “for all the freshman” with (F(x) and advanced course with A(y)

xy(F(x) A(y) T(x,y)).

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.