Question

Instructions: 1) After the equal signs, write in the statement symbolized by the capital letters; 2) Write out the compound statements in symbolic form; 3) Use the Internet or other resources to determine the truth values of individual statements (all of these refer to well-known historical events); 4) Use the line-by-line approach presented at the top of page 255 to determine the final truth value of the initial compound statement. Please, DO NOT use the abbreviated method (the one line method). 4 points each

Please use the line-by-line approach presented on the top of page 347. Please do not use the one line approach.

2. Nixon resigned the presidency and Lincoln wrote the Gettysburg Address.

N =
L =

5. Edison invented the telephone, or Custer was killed by the Indians.
E =
C =

8. Lincoln wrote the Gettysburg Address if and only if France bombed Pearl Harbor.
L =
F =

11. Either Lindbergh crossed the Atlantic and Edison invented the telephone or both Nixon resigned the presidency and it is false that Edison invented the telephone.
L =
E =
N =
~E =

14. It is not the case that Custer was killed by the Indians unless both Nixon resigned the presidency and Edison invented the telephone.
~C =
N =
E =


Exercise 5.3, Part III.
Instructions: Determine the truth values of the following symbolic statements. Let A, B, and C be true, and let X, Y, and Z be false. Please use the line-by-line approach presented at the top of page 255 to determine the final truth value of the initial compound statement. Please, DO NOT use the abbreviated method (the one line method). 4 points each

Please use the line-by-line approach presented on the top of page 347. Please do not use the one line approach.

2. B • ~Y

3. X v ~Y

5. B  ~Z

6. Y  ~A

8. B  Y

11. ~B v (Y  A)

14. ~(X v ~B) • (~Y v A)

17. ~ (A • ~C)  (~X  B)


Exercise 5.2, Part IV.
Instructions: When possible, determine the truth values of the following symbolized statements. Let A and B be true, Y and Z false. P and Q have unknown truth value. If the truth value of the statement cannot be determined, write “Undetermined.”

Note: # 8 and #14 will require you to do two steps: 1) Assign “True” to all of the P’s and determine the final truth value for the compound statement; 2) Then, assign “False” to all of the P’s and determine the final truth value for the compound statement. 3) If the truth values are the same, then that is your answer; 4) If the truth values are different, then the final truth value is “Undetermined.”

Please use the line-by-line approach presented on the top of page 347. Please do not use the one line approach.

2. Q v Z

3. Q • Y

5. P  B

6. Z  Q

8. P  ~P

9. (P  A)  Z

11. (Q  B)  (A  Y)

12. ~ (P  Y) v (Z  Q)

14. [(Z  P)  P]  P

Answer 1

To solve this question, you will need to use the line-by-line approach presented on the top of page 347. First, you will need to symbolize the statement using capital letters, such as A = "The American Revolution began in 1776" and B = "The French Revolution began in 1789". Then, using the truth values of the individual statements, you can determine the truth value of the compound statement by following the line-by-line approach. For example, if A is true and B is false, then the statement A and B would be false.

To solve this question, you will need to use the line-by-line approach presented on the top of page 347. First, you will need to assign truth values to the individual statements, such as A = True, B = True, Y = False, and Z = False. Then, using the truth values of the individual statements, you can determine the truth value of the compound statement by following the line-by-line approach. For example, if A is true and B is false, then the statement A and B would be false. For statements that require two steps, you will need to first assign "True" to all of the P's and determine the final truth value for the compound statement, and then assign "False" to all of the P's and determine the final truth value for the compound statement. If the truth values are the same, then that is your answer; if the truth values are different, then the final truth value is "Undetermined."