5. What is the relationship between truth conditions of the following pairs of sentences: one-way entailment, mutual entailment, contradiction, or no relationship? Briefly explain. a1. Hermione killed Dumbledore. a2. Dumbledore is dead.

b1. Hermione killed Dumbledore. b2. Dumbledore is alive.

c1. Hermione killed Dumbledore. c2. Dumbledore killed Hermione. 6. For each of the following, tell whether your conclusion was reached based on entailment or implicature. Briefly explain. a. Jamie: "Did you run five miles this morning?" Meg: "I ran three miles this morning." Jamie concludes that Meg didn't run five miles this morning.

b. Jamie: "Have you visited that new coffee shop on the corner?" Meg: "I had a cappuccino yesterday." Jamie concludes that Meg has visited the new coffee shop on the corner.