Hints at answers for Practice Test 3

1. These come from Ex 5.5.6 No 1 and 11 (with a small change in No 11: instead of the negation rule, the implication rule is used on line 12).

2. The first is Ex 5.5.5 No 4; the second is a variation on the example on p 117 which just needs a subderivation to start (using the (→I) rule). (The first uses the double negation elimination rule.)

3. This is Ex 5.5.6 No 5 (with poets instead of logicians). (It uses the double negation elimination rule.)

4. Exercise 6.4.7 No 10.

5. Exercise 6.3.3 No 2. And P(B) has 2⁶ = 64 elements if B has 6 elements.

6. Exercise 6.4.7 No 11.

7. Exercise 6.4.7 No 1, 2

8. Exercise 6.4.7 No 1, 2

For the essay: I suggest you read some of the critical reviews in the "Entertainments" section. Please be prepared to answer the question actually asked, and don't just write something prepared in advance. Marks will be deducted for not answering the question actually asked.