Kenneth Rosen Edition 7 Exercise 1.5 Question 10 (Page No. 65)

Question

Let $F(x, y)$ be the statement “$x$ can fooly,” where the domain consists of all people in the world. Use quantifiers to express each of these statements.

1. Everybody can fool Fred.
2. Evelyn can fool everybody.Everybody can fool somebody.
3. There is no one who can fool everybody.
4. Everyone can be fooled by somebody.
5. No one can fool both Fred and Jerry.
6. Nancy can fool exactly two people.
7. There is exactly one person whom everybody can fool.
8. No one can fool himself or herself.
9. There is someone who can fool exactly one person besides himself or herself.