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Return to Introduction to Formal Logic Student Resources
Section 3.07 Self Quiz
Quiz Content
*
not completed
.
Consider assuming 'G' for conditional proof. Which of the following propositions is an immediate (one-step) consequence in PL of the given premises with that further assumption for conditional proof?
1. G ⊃ H
2. G ⊃ I
H
correct
incorrect
I
correct
incorrect
H • I
correct
incorrect
Options A, B, and C
correct
incorrect
Options A and B, but not option C
correct
incorrect
*
not completed
.
Which of the following propositions is derivable from the given premises using any of the twenty-five rules of PL and either the direct or conditional methods of proof?
1. G ⊃ H
2. G ⊃ I
G ≡ H
correct
incorrect
G ≡ (H • I)
correct
incorrect
G ⊃ (H • I)
correct
incorrect
All of the above
correct
incorrect
None of the above
correct
incorrect
*
not completed
.
Consider assuming 'J' for conditional proof. Which of the following propositions is an immediate (one-step) consequence in PL of the given premises with that further assumption for conditional proof?
1. J ⊃ K
2. ~J ∨ L
3. (K • L) ≡ M
K
correct
incorrect
~K
correct
incorrect
~L
correct
incorrect
L ⊃ J
correct
incorrect
None of the above
correct
incorrect
*
not completed
.
Which of the following propositions is derivable from the given premises using any of the twenty-five rules of PL and either the direct or conditional methods of proof?
1. J ⊃ K
2. ~J ∨ L
3. (K • L) ≡ M
J ⊃ ~K
correct
incorrect
J ⊃ ~L
correct
incorrect
J ⊃ M
correct
incorrect
M ⊃ J
correct
incorrect
None of the above
correct
incorrect
*
not completed
.
Consider assuming 'N ∨ P' for conditional proof. Which of the following propositions is an immediate (one-step) consequence in PL of the given premises with that further assumption for conditional proof?
1. ~(N ∨ O)
2. P ⊃ ~Q
~N ∨ ~O
correct
incorrect
~N • ~O
correct
incorrect
~N
correct
incorrect
~Q ⊃ P
correct
incorrect
O ∨ Q
correct
incorrect
*
not completed
.
Which of the following propositions is derivable from the given premises using any of the twenty-five rules of PL and either the direct or conditional methods of proof?
1. ~(N ∨ O)
2. P ⊃ ~Q
(N ∨ P) ⊃ O
correct
incorrect
(N ∨ P) ⊃ (O • P)
correct
incorrect
(N ∨ P) • (Q ∨ R)
correct
incorrect
(N ∨ P) ⊃ ~(O ∨ Q)
correct
incorrect
(M ∨ P) ⊃ R
correct
incorrect
*
not completed
.
Consider assuming 'S' for conditional proof. Which of the following propositions is an immediate (one-step) consequence in PL of the given premises with that further assumption for conditional proof?
1. ~R ≡ S
2. T ⊃ R
3. ~(R ∨ T) ⊃ U
R ≡ ~S
correct
incorrect
S ≡ R
correct
incorrect
~S ≡ ~ R
correct
incorrect
S ≡ ~R
correct
incorrect
S ⊃ ~R
correct
incorrect
*
not completed
.
Which of the following propositions is derivable from the given premises using any of the twenty-five rules of PL and either the direct or conditional methods of proof?
1. ~R ≡ S
2. T ⊃ R
3. ~(R ∨ T) ⊃ U
S ⊃ R
correct
incorrect
S ⊃ T
correct
incorrect
S ⊃ (R • T)
correct
incorrect
S ⊃ U
correct
incorrect
S ⊃ (R • U)
correct
incorrect
*
not completed
.
Consider assuming 'A' for conditional proof. Which of the following propositions is an immediate (one-step) consequence in PL of the given premises with that further assumption for conditional proof?
1. A ⊃ (B ∨ C)
2. ~A ∨ (D ∨ E)
3. ~(C ∨ E)
B ∨ C
correct
incorrect
~~A
correct
incorrect
~C • ~E
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 derivable from the given premises using any of the twenty-five rules of PL and either the direct or conditional methods of proof?
1. A ⊃ (B ∨ C)
2. ~A ∨ (D ∨ E)
3. ~(C ∨ E)
A ⊃ C
correct
incorrect
A ⊃ E
correct
incorrect
A ⊃ (B • C)
correct
incorrect
A ⊃ (D • E)
correct
incorrect
A ⊃ (B • D)
correct
incorrect
*
not completed
.
Consider assuming 'F' for conditional proof. Which of the following propositions is an immediate (one-step) consequence in PL of the given premises with that further assumption for conditional proof?
1. F ⊃ [(G ∨ H) ⊃ I]
G ∨ H
correct
incorrect
(G ∨ H) ⊃ I
correct
incorrect
[F • (G ∨ H)] ⊃ I
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 derivable from the given premises using any of the twenty-five rules of PL and either the direct or conditional methods of proof?
1. F ⊃ [(G ∨ H) ⊃ I]
F ⊃ I
correct
incorrect
F ⊃ (G ⊃ I)
correct
incorrect
(F ⊃ G) ⊃ I
correct
incorrect
[F ⊃ (G ∨ H)] ⊃ I
correct
incorrect
I ⊃ F
correct
incorrect
*
not completed
.
Consider assuming 'J' for conditional proof. Which of the following propositions is an immediate (one-step) consequence in PL of the given premises with that further assumption for conditional proof?
1. J ⊃ (K ⊃ M)
2. L ∨ ~M
3. J ∨ (K • ~L)
K ⊃ M
correct
incorrect
K
correct
incorrect
M
correct
incorrect
K • ~L
correct
incorrect
~L
correct
incorrect
*
not completed
.
Which of the following propositions is derivable from the given premises using any of the twenty-five rules of PL and either the direct or conditional methods of proof?
1. J ⊃ (K ⊃ M)
2. L ∨ ~M
3. J ∨ (K • ~L)
J ≡ K
correct
incorrect
J ≡ (K ⊃ L)
correct
incorrect
J ≡ L
correct
incorrect
J ≡ M
correct
incorrect
J ≡ (M ⊃ L)
correct
incorrect
*
not completed
.
Consider assuming '~P' for conditional proof. Which of the following propositions is an immediate (one-step) consequence in PL of the given premises with that further assumption for conditional proof?
1. (N ⊃ O) ⊃ P
2. (~N ∨ O) ≡ (~Q ⊃ R)
3. R ∨ (S ⊃ Q)
(N ⊃ O) ≡ (~Q ⊃ R)
correct
incorrect
(~N ⊃ O) ≡ (~Q ⊃ R)
correct
incorrect
(~N ∨ O) ≡ (R ⊃ ~Q)
correct
incorrect
(~N ∨ O) ≡ (~~Q ⊃ ~R)
correct
incorrect
(O ⊃ ~N) ≡ (~Q ⊃ R)
correct
incorrect
*
not completed
.
Which of the following propositions is derivable from the given premises using any of the twenty-five rules of PL and either the direct or conditional methods of proof?
1. (N ⊃ O) ⊃ P
2. (~N ∨ O) ≡ (~Q ⊃ R)
3. R ∨ (S ⊃ Q)
~P ⊃ ~N
correct
incorrect
~P ⊃ O
correct
incorrect
~P ⊃ Q
correct
incorrect
~P ⊃ ~R
correct
incorrect
~P ⊃ ~S
correct
incorrect
*
not completed
.
Consider assuming '~X' for conditional proof. Which of the following propositions is an immediate (one-step) consequence in PL of the given premises with that further assumption for conditional proof?
1. X ⊃ (~Y ∨ Z)
2. ~X ⊃ (Y ∨ Z)
3. ~Z
~(~Y ∨ Z)
correct
incorrect
(~Y ∨ Z)
correct
incorrect
(Y ∨ Z)
correct
incorrect
~(Y ∨ Z)
correct
incorrect
~X ≡ ~Z
correct
incorrect
*
not completed
.
Which of the following propositions is derivable from the given premises using any of the twenty-five rules of PL and either the direct or conditional methods of proof?
1. X ⊃ (~Y ∨ Z)
2. ~X ⊃ (Y ∨ Z)
3. ~Z
X ≡ Z
correct
incorrect
X ≡ ~Z
correct
incorrect
Z ≡ ~X
correct
incorrect
X ≡ Y
correct
incorrect
X ≡ ~Y
correct
incorrect
*
not completed
.
Consider assuming 'B' for conditional proof. Which of the following propositions is an immediate (one-step) consequence in PL of the given premises with that further assumption for conditional proof?
1. A ≡ ~(B ∨ C)
2. ~D ≡ (A • E)
3. (D ⊃ B) • (E ⊃ B)
D
correct
incorrect
~D
correct
incorrect
E
correct
incorrect
~E
correct
incorrect
B ∨ C
correct
incorrect
*
not completed
.
Which of the following propositions is derivable from the given premises using any of the twenty-five rules of PL and either the direct or conditional methods of proof?
1. A ≡ ~(B ∨ C)
2. ~D ≡ (A • E)
3. (D ⊃ B) • (E ⊃ B)
B ≡ D
correct
incorrect
B ≡ E
correct
incorrect
B ≡ (D ∨ E)
correct
incorrect
B ≡ A
correct
incorrect
B ≡ (A ∨ E)
correct
incorrect
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