LOGIC, Help With Exam
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Practice.pdf
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.
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0 / 4 ptsQuestion 1IncorrectIncorrect
Replacement rules are pairs of self-contradictions.
True
False
4 / 4 ptsQuestion 2
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
https://uta.instructure.com/courses/54820/quizzes/146886 3/16
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, ___
11/8/2020 Practice Exam 3: 2208-PHIL-2311-006-LOGIC
https://uta.instructure.com/courses/54820/quizzes/146886 6/16
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
11/8/2020 Practice Exam 3: 2208-PHIL-2311-006-LOGIC
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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
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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
11/8/2020 Practice Exam 3: 2208-PHIL-2311-006-LOGIC
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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
