Part 2: Answer the following questions by writing the letter of the correct answ

Question

Part 2: Answer the following questions by writing the letter of the correct answer in the blank. (3 points each, 21 totaL)

1.D ( E v P )

2.(E & P ) F

3. F v L

4.G

5.H

6.J & K

7.~ F

8.D

9. ( M & N ) & O

_______ If you apply the rule Modus Tollens to Lines 2 and 7, what formula do you get?  

a.~ E

b.~ E & ~ P

c,~ ( E & P )

_______ Which of these is a correct use of Addition on line 4?

a.G & W

b.G v ( W v R)

c.G W

_______ If you apply the rule Disjunctive Argument to lines 3 and 7, what formula do you get?

a.L

b.~ L

_______ If you apply the rule Conjunction to lines 5 and 6, you get...

a.H & ( J & K )

b.H & J & K

c.( H & J ) & K

d.Any of these

_______ If you apply the rule Modus Ponens to lines 1 and 8, you get…

a.~ E

b.E v P

c.Neither of these

_______ Which of the following results from a legal use of Simplification on line 9?

a.M

b.O

c. Neither is legal.

_______ If you apply the rule Chain Argument to lines 1 and 2, you get…

a. D F

b. F D

c.That inference is not valid.

Explanation / Answer

1. c.~ ( E & P )

2. b.G v ( W v R)

3. a.L

4. a.H & ( J & K )

5. b.E v P

6. c. Neither is legal.

7. c.That inference is not valid.

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