Let P(x), Q(x), and R(x) be the statements “x is a
professor,” “x is ignorant,” and “x is vain,” respectively.
Express each of these statements using quantifiers; logical
connectives; and P(x), Q(x), and R(x), where the
domain consists of all people.
- a) No professors are ignorant.
- b) All ignorant people are vain.
- c) No professors are vain.
Can someone explain each of the given Predicates?