Introduction to Logic

Exercise 1.6 - Logical Entailment

Consider the sentences shown below.

Everybody likes somebody.
Bess likes everyone Abby likes.
Bess does not like Dana.
Nobody likes herself.

Say whether each of the following sentences is logically entailed by these sentences.

a. Abby likes Cody.
b. Bess likes Abby.
c. Bess does not like Abby.
d. Nobody likes everybody.