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11/8/2020 Practice Exam 3: 2208-PHIL-2311-006-LOGIC

https://uta.instructure.com/courses/54820/quizzes/146886 1/16

Practice Exam 3 Due No due date Points 100 Questions 25 Time Limit 40 Minutes

Instructions

Attempt History Attempt Time Score

LATEST Attempt 1 3 minutes 28 out of 100

 Correct answers are hidden.

Submitted Nov 8 at 1:22pm

Guidelines This is the practice exam for Unit 3, and it consists of 25 multiple-choice questions over Chapter 8 from the textbook. While it is only for practice, it is still a timed exam, and you are only allowed 1 attempt.

Technical Support Need help using Canvas Quizzes? If so, please review the following guide: Canvas Student Guide - Quizzes (https://community.canvaslms.com/docs/DOC-10701#jive_content_id_Quizzes)

0 / 4 ptsQuestion 1IncorrectIncorrect

Replacement rules are pairs of self-contradictions.

True

False

4 / 4 ptsQuestion 2

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https://community.canvaslms.com/docs/DOC-10701#jive_content_id_Quizzes

11/8/2020 Practice Exam 3: 2208-PHIL-2311-006-LOGIC

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Indirect proof (IP) is a method that starts by assuming the antecedent of a conditional statement on a separate line and then proceeds to validly derive the consequent on a separate line.

True

False

0 / 4 ptsQuestion 3IncorrectIncorrect

In the following problems the justification, the rule of inference, is provided for the last line; however, the line itself is missing. Use the given information to determine the last line.

Reference: Ref 8-2

1. ( ~R v S ) ⊃ ~ T 2. ~ R v S 3. ______ 1, 2 MP

T

~ T

R v T

R v ~ T

4 / 4 ptsQuestion 4

The last line of each example gives the reference to the line or lines needed for its derivation. You are to determine the correct rule of

11/8/2020 Practice Exam 3: 2208-PHIL-2311-006-LOGIC

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inference.

Reference: Ref 8-1

1. R ⊃ (S v P) 2. ~ (S v P) 3. ~ R 1, 2, ___

MP

MT

HS

DS

0 / 4 ptsQuestion 5IncorrectIncorrect

The last line of each example gives the reference to the line or lines needed for its derivation. You are to determine the correct rule of inference.

Reference: Ref 8-1

1. Q ⊃ R 2. ~ R 3. ~ Q 1, 2, ___

MP

MT

HS

DS

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0 / 4 ptsQuestion 6IncorrectIncorrect

The last line of each example gives the reference to the line or lines needed for its derivation. You are to determine the correct rule of inference.

Reference: Ref 8-1

1. T ⊃ ( S v T ) 2. ( S v T ) ⊃ P 3. T ⊃ P 1, 2, ___

MP

MT

HS

DS

0 / 4 ptsQuestion 7IncorrectIncorrect

The last line of each example gives the reference to the line or lines needed for its derivation. You are to determine the correct rule of inference.

Reference: Ref 8-1

1. P v Q 2. R 3. ( P v Q ) · R 1, 2, ___

CD

Simp

11/8/2020 Practice Exam 3: 2208-PHIL-2311-006-LOGIC

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Conj

Add

0 / 4 ptsQuestion 8IncorrectIncorrect

The last line of each example gives the reference to the line or lines needed for its derivation. You are to determine the correct rule of inference.

Reference: Ref 8-1

1. ( R v Q ) ≡ S 2. [( R v Q ) ⊃ S] · [S ⊃ ( R v Q )] 1, ___

DN

Trans

Impl

Equiv

0 / 4 ptsQuestion 9IncorrectIncorrect

The last line of each example gives the reference to the line or lines needed for its derivation. You are to determine the correct rule of inference.

Reference: Ref 8-1

1. ( R v S ) ⊃ G 2. ~ G 3. ~ ( R v S ) 1, 2, ___

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MP

MT

HS

DS

0 / 4 ptsQuestion 10IncorrectIncorrect

The last line of each example gives the reference to the line or lines needed for its derivation. You are to determine the correct rule of inference.

Reference: Ref 8-1

1. S v S 2. S 1, ___

DN

Trans

Exp

Taut

0 / 4 ptsQuestion 11IncorrectIncorrect

The last line of each example gives the reference to the line or lines needed for its derivation. You are to determine the correct rule of inference.

Reference: Ref 8-1

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1. H v ~ E 2. ~ H 3. ~ E 1, 2, ___

MP

MT

HS

DS

4 / 4 ptsQuestion 12

Determine whether the following symbolic notation translations of the arguments are correct or incorrect. (The capital letters used for the translation are provided in each case.)

Reference: Ref 8-3

Either a war will start, or terrorist attack will occur. If a war starts, then the government will curtail some of our liberties. If a terrorist attack occurs, then the government will curtail some of our liberties. Therefore, the government will curtail some of our liberties. (W, T, C) Translation: W v T

W ⊃ C

T ⊃ C / C

Correct

Incorrect

11/8/2020 Practice Exam 3: 2208-PHIL-2311-006-LOGIC

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4 / 4 ptsQuestion 13

Determine whether the following symbolic notation translations of the arguments are correct or incorrect. (The capital letters used for the translation are provided in each case.)

Reference: Ref 8-3

If you read a book a week, then you will have read 520 books in 10 years. If you do not read a book a week, then you might never know what some great thinkers have written. So, either you read a book a week or you might never know what some great thinkers have written. (B, R, T) Translation: B v R

~ B ⊃ ~ T / B v T

Correct

Incorrect

4 / 4 ptsQuestion 14

Determine the correct rule of inference for each step of the following completed proofs. Proof 6

1. T ⊃ ( P v Q )

2. S v ~ ( P v Q )

3. ~S / ~ T

4. ~ ( P v Q ) _____

5. ~ T _____ Reference: Ref 8-9

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Line 4:

2, 3, DS

2, 3, HS

2, 3, MP

2, 3, MT

0 / 4 ptsQuestion 15IncorrectIncorrect

Determine the correct rule of inference for each step of the following completed proofs. Proof 4

1. ( R v S ) ⊃ ( ~ P v ~ Q )

2. R / ~ P v ~ Q

3. R v S _____

4. ~ P v ~ Q _____ Reference: Ref 8-7

Line 4:

1, 3, DS

1, 3, HS

1, 3, MP

1, 3, MT

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4 / 4 ptsQuestion 16

Determine the correct rule of inference for each step of the following completed proofs. Proof 3

1. ( S ⊃ R ) · Q 2. R ⊃ T / S ⊃ T

3. S ⊃ R

_____

4. S ⊃ T

_____

Reference: Ref 8-6

Line 3:

1, Simp

1, Taut

1, DM

1, Add

4 / 4 ptsQuestion 17

Determine whether the following completed proofs are correct or incorrect.

Reference: Ref 8-10

1. T v R

2. [ ( T v R ) v ( S · P ) ] ⊃ ( Q · S ) / Q · S

11/8/2020 Practice Exam 3: 2208-PHIL-2311-006-LOGIC

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3. ( T v R ) ⊃ ( S · P ) 1, Add 4. Q · S 2, 3, MP

Correct

Incorrect

0 / 4 ptsQuestion 18IncorrectIncorrect

Determine whether the following completed proofs are correct or incorrect.

Reference: Ref 8-10

1. (D v E) ⊃ (F · G) 2. ( A v B) ⊃ (D · C) / A ⊃ F 3. A Assumption (CP)

4. A v B 3, Add

5. D · C 2, 4, MP 6. D 5, Simp

7. D v E 6, Add

8. F ⊃ G 1, 7, MP

9. F 8, Simp

10. A ⊃ F 3–9, CP

Correct

Incorrect

0 / 4 ptsQuestion 19IncorrectIncorrect

11/8/2020 Practice Exam 3: 2208-PHIL-2311-006-LOGIC

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Determine whether the following completed proofs are correct or incorrect.

Reference: Ref 8-10

1. Q v [ S ⊃ ( P ⊃ R ) ]

2. ( T ⊃ R ) ⊃ S

3. ~ Q / ( T ⊃ R ) ⊃ ( P ⊃ R )

4. S v ( P ⊃ R ) 1, 3, DS

5. ( T ⊃ R ) ⊃ ( P ⊃ R ) 2, 4, HS

Correct

Incorrect

0 / 4 ptsQuestion 20IncorrectIncorrect

Determine whether the following completed proofs are correct or incorrect.

Reference: Ref 8-10

1. ( C ⊃ A) ≡ D

2. A v ( ~ C · B) / D 3. ( A v ~ C ) · ( A v B) 2, Dist 4. A v ~ C 3, Simp

5. [( C ⊃ A ) ⊃ D] · [ D ⊃ ( C ⊃ A )] 1, Equiv 6. (C ⊃ A ) ⊃ D 5, Simp

7. ~ C v A 4, Com

8. C ⊃ ~ A 7, Impl

9. D 6, 8, MP

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Correct

Incorrect

0 / 4 ptsQuestion 21IncorrectIncorrect

Determine whether the following completed proofs are correct or incorrect.

Reference: Ref 8-10

1. ( T v S ) v ~ R

2. ~ ( T v S ) · ( P v Q ) / ~ R 3. ~ ( T v Q ) 2, Simp

4. ~ R 1, 3, DS

Correct

Incorrect

0 / 4 ptsQuestion 22IncorrectIncorrect

For each of the following proofs, either the justification for a derived line has been omitted or else the derivation has been omitted. Choose the correct answer for each question. Proof 7

1. ~ B · ~ C 2. ~ ( B v C) ⊃ ( D v E ) / ( D v E )

3. 1, DM

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4. D v E Reference: Ref 8-11

The justification for line 4 is:

1, 3, MP

1, 3, MT

2, 3, MP

2, 3, MT

0 / 4 ptsQuestion 23UnansweredUnanswered

For each of the following proofs, either the justification for a derived line has been omitted or else the derivation has been omitted. Choose the correct answer for each question. Proof 8

1. ~ C v ( ~ B ⊃ D )

2. ~ B

3. ~ C ⊃ B / D v E

4. ~ ~ C

5. 1, 4, DS

6. D

7. 6, Add Reference: Ref 8-12

The justification for line 4 is:

1, 3, MP

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2, 3, MP

1, 3, MT

2, 3, MT

0 / 4 ptsQuestion 24IncorrectIncorrect

For each of the following proofs, either the justification for a derived line has been omitted or else the derivation has been omitted. Choose the correct answer for each question. Proof 9

1. ~ C v ( ~ B ⊃ D )

2. ~ B

3. ~ C ⊃ B / D v E

4. 2, 3, MT

5. ~ B ⊃ D

6.

2, 5, MP

7. D v E Reference: Ref 8-13

The derivation in line 6 is:

D

D · C

D ⊃ C

~ D v ~ C

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0 / 4 ptsQuestion 25IncorrectIncorrect

For each of the following proofs, either the justification for a derived line has been omitted or else the derivation has been omitted. Choose the correct answer for each question. Proof 10

1. M v ( D · L) 2. B ⊃ ~ ( M v L ) / ~ B

3. ( M v D ) · ( M v L ) 4. ( M v L ) · ( M v D ) 5. M v L

6. ~ ~ ( M v L )

7. ~ B Reference: Ref 8-14

The justification for line 4 is:

2, 3, MP

2, 3, MT

3, Simp

3, Com

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