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Return to Introduction to Formal Logic Student Resources
Section 3.09 Self Quiz
Quiz Content
*
not completed
.
Which of the following propositions is an appropriate assumption for an indirect proof of the conclusion of the given argument?
1. X ⊃ ~Y
2. ~Z ⊃ ~W
3. X ∨ W / ~Y ∨ Z
~Y ∨ Z
correct
incorrect
Y ∨ Z
correct
incorrect
~Y
correct
incorrect
Y • ~Z
correct
incorrect
~~(~Y ∨ Z)
correct
incorrect
*
not completed
.
Which of the following propositions is a likely last line of the indented sequence for an indirect proof of the given argument?
1. X ⊃ ~Y
2. ~Z ⊃ ~W
3. X ∨ W / ~Y ∨ Z
X • ~X
correct
incorrect
Y • ~Y
correct
incorrect
Z • ~Z
correct
incorrect
W • ~W
correct
incorrect
All of the above
correct
incorrect
*
not completed
.
Which of the following propositions is an appropriate assumption for an indirect proof of the conclusion of the given argument?
1. H ⊃ J
2. K ⊃ ~J
3. (H ⊃ ~K) ⊃ L / L
H
correct
incorrect
H ⊃ ~K
correct
incorrect
~(H ⊃ J)
correct
incorrect
L
correct
incorrect
~L
correct
incorrect
*
not completed
.
Which of the following propositions is a likely last line of the indented sequence for an indirect proof of the given argument?
1. H ⊃ J
2. K ⊃ ~J
3. (H ⊃ ~K) ⊃ L / L
a)H • ~H
correct
incorrect
J • ~J
correct
incorrect
L • ~L
correct
incorrect
All of the above
correct
incorrect
Options A and B, but not option C
correct
incorrect
*
not completed
.
Which of the following propositions is an appropriate assumption for an indirect proof of the conclusion of the given argument?
1. (F ⊃ G) ⊃ H
2. F ⊃ I
3. (~H • I) ⊃ G / H
F
correct
incorrect
F ⊃ G
correct
incorrect
~H
correct
incorrect
~H • I
correct
incorrect
*
not completed
.
Which of the following propositions is a likely last line of the indented sequence for an indirect proof of the given argument?
1. (F ⊃ G) ⊃ H
2. F ⊃ I
3. (~H • I) ⊃ G / H
F • ~F
correct
incorrect
G • ~G
correct
incorrect
I • ~I
correct
incorrect
All of the above
correct
incorrect
Options A and B, but not option C
correct
incorrect
*
not completed
.
Which of the following propositions is an appropriate assumption for an indirect proof of the conclusion of the given argument?
1. P ∨ ~Q
2. (~Q • R) ⊃ S
3. ~(R ⊃ S) / P
P
correct
incorrect
~P
correct
incorrect
~(P ∨ ~Q)
correct
incorrect
~Q ∨ R
correct
incorrect
R ⊃ S
correct
incorrect
*
not completed
.
Which of the following propositions is a likely last line of the indented sequence for an indirect proof of the given argument?
1. P ∨ ~Q
2. (~Q • R) ⊃ S
3. ~(R ⊃ S) / P
P • ~P
correct
incorrect
Q • ~Q
correct
incorrect
R • ~R
correct
incorrect
All of the above
correct
incorrect
Options A and B, but not option C
correct
incorrect
*
not completed
.
Which of the following propositions is an appropriate assumption for an indirect proof of the conclusion of the given argument?
1. ~H • (~I • ~J)
2. (K ∨ I) ∨ L / K ∨ L
K ∨ L
correct
incorrect
K
correct
incorrect
L
correct
incorrect
~K • ~L
correct
incorrect
~H
correct
incorrect
*
not completed
.
Which of the following propositions is a likely last line of the indented sequence for an indirect proof of the given argument?
1. ~H • (~I • ~J)
2. (K ∨ I) ∨ L / K ∨ L
H • ~H
correct
incorrect
I • ~I
correct
incorrect
J • ~J
correct
incorrect
All of the above
correct
incorrect
Options A and B, but not option C
correct
incorrect
*
not completed
.
Which of the following propositions is an appropriate assumption for an indirect proof of the conclusion of the given argument?
1. D ⊃ E
2. E ⊃ (F • G)
3. ~F ∨ ~G / ~D
D
correct
incorrect
~D
correct
incorrect
E
correct
incorrect
F
correct
incorrect
~F
correct
incorrect
*
not completed
.
Which of the following propositions is a likely last line of the indented sequence for an indirect proof of the given argument?
1. D ⊃ E
2. E ⊃ (F • G)
3. ~F ∨ ~G / ~D
D • ~D
correct
incorrect
E • ~E
correct
incorrect
F • ~F
correct
incorrect
All of the above
correct
incorrect
Options A and B, but not option C
correct
incorrect
*
not completed
.
Which of the following propositions is an appropriate assumption for an indirect proof of the conclusion of the given argument?
1. (D • B) ⊃ ~C
2. (~E ∨ D) • (~E ∨ B)
3. ~C ⊃ (~A • ~E) / ~E
D • B
correct
incorrect
~C
correct
incorrect
B ∨ D
correct
incorrect
C
correct
incorrect
E
correct
incorrect
*
not completed
.
Which of the following propositions is a likely last line of the indented sequence for an indirect proof of the given argument?
1. (D • B) ⊃ ~C
2. (~E ∨ D) • (~E ∨ B)
3. ~C ⊃ (~A • ~E) / ~E
A • ~A
correct
incorrect
B • ~B
correct
incorrect
C • ~C
correct
incorrect
All of the above
correct
incorrect
Options B and C, but not option A
correct
incorrect
*
not completed
.
Which of the following propositions is an appropriate assumption for an indirect proof of the conclusion of the given argument?
1. (Q ⊃ R) • (~S ∨ T)
2. Q ∨ S / R ∨ T
R ∨ T
correct
incorrect
~R ∨ ~T
correct
incorrect
R • T
correct
incorrect
~R • ~T
correct
incorrect
All of the above
correct
incorrect
*
not completed
.
Which of the following propositions is an appropriate assumption for a conditional proof of the conclusion of the given argument?
1. (Q ⊃ R) • (~S ∨ T)
2. Q ∨ S / R ∨ T
R
correct
incorrect
T
correct
incorrect
~R
correct
incorrect
Q
correct
incorrect
~S
correct
incorrect
*
not completed
.
Which of the following propositions is an appropriate assumption for an indirect proof of the given logical truth?
(P ⊃ Q) ∨ (~P ⊃ Q)
(P ⊃ Q) ∨ (~P ⊃ Q)
correct
incorrect
~(P ⊃ Q) ∨ ~(~P ⊃ Q)
correct
incorrect
~(P ⊃ Q) • ~(~P ⊃ Q)
correct
incorrect
P
correct
incorrect
~P
correct
incorrect
*
not completed
.
Which of the following propositions is an appropriate assumption for a conditional proof of the given logical truth?
(P ⊃ Q) ∨ (~P ⊃ Q)
P
correct
incorrect
~P
correct
incorrect
P ⊃ Q
correct
incorrect
~(P ⊃ Q)
correct
incorrect
~(P ⊃ Q) ∨ ~(~P ⊃ Q)
correct
incorrect
*
not completed
.
Which of the following propositions is an appropriate assumption for an indirect proof of the given logical truth?
(A ⊃ B) ∨ (~A ⊃ C)
A ⊃ B
correct
incorrect
(A ⊃ B) ∨ (~A ⊃ C)
correct
incorrect
~(A ⊃ B) ∨ ~(~A ⊃ C)
correct
incorrect
~(A ⊃ B) • ~(~A ⊃ C)
correct
incorrect
~A
correct
incorrect
*
not completed
.
Which of the following propositions is an appropriate assumption for a conditional proof of the given logical truth?
(A ⊃ B) ∨ (~A ⊃ C)
B
correct
incorrect
A ⊃ B
correct
incorrect
~(A ⊃ B)
correct
incorrect
(A⊃ B) ∨ (~A ⊃ C)
correct
incorrect
Any of the above
correct
incorrect
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