Question

Using the following to answer the parts (b) - (d) below: Let 𝒙 𝒂𝒏𝒅 𝒚 be persons, 𝒋(𝒙, 𝒚) means person 𝒙 knows person 𝒚

(b) Translate the following statement bring using quantifier and logical operators (5 points): If Ken knows all people, then there exists a person who knows Ken

(c) Translate the following statement to English: ∃𝑦∀𝑥(𝑗(𝑥, 𝑦))

(d) Find the negation of ∀𝑦∃𝑥(¬𝑗(𝑥, 𝑦) ∧ 𝑗(𝑦, 𝑥)