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Return to Introduction to Formal Logic Student Resources
Section 3.04 Self Quiz
Quiz Content
*
not completed
.
Which of the following propositions is an immediate (one-step) consequence in PL of the given premises?
1. (A • B) ⊃ C
2. (A • D) ∨ (A • E)
C ⊃ (A • B)
correct
incorrect
~C ⊃ (A • B)
correct
incorrect
~C ⊃ ~(A • B)
correct
incorrect
(A ⊃ B) ⊃ C
correct
incorrect
A ⊃ (B • C)
correct
incorrect
*
not completed
.
Which of the following propositions is derivable from the given premises using the rules available through section 3.4 (MP, MT, DS, HS, Add, Conj, Simp, CD, DM, Dist, Assoc, Com, DN, Cont, Impl, Equiv, Exp, Taut)?
1. (A • B) ⊃ C
2. (A • D) ∨ (A • E)
D
correct
incorrect
D • E
correct
incorrect
C ⊃ B
correct
incorrect
B ⊃ C
correct
incorrect
None
correct
incorrect
*
not completed
.
Which of the following propositions is an immediate (one-step) consequence in PL of the given premises?
1. F ≡ G
2. H • ~G
(F ⊃ G) ∨ (G ⊃ F)
correct
incorrect
(F ⊃ G) • (G ⊃ F)
correct
incorrect
(F ∨ G) ∨ (~F ∨ ~G)
correct
incorrect
(F • G) • (~F ∨ ~G)
correct
incorrect
(F ⊃ G) ∨ ( ~F ⊃ ~G)
correct
incorrect
*
not completed
.
Which of the following propositions is derivable from the given premises using the rules available through section 3.4 (MP, MT, DS, HS, Add, Conj, Simp, CD, DM, Dist, Assoc, Com, DN, Cont, Impl, Equiv, Exp, Taut)?
1. F ≡ G
2. H • ~G
F
correct
incorrect
~F
correct
incorrect
G
correct
incorrect
~H
correct
incorrect
~(F ≡ G)
correct
incorrect
*
not completed
.
Which of the following propositions is an immediate (one-step) consequence in PL of the given premises?
1. ~I ∨ J
2. ~K ∨ I
I ⊃ J
correct
incorrect
~I ⊃ J
correct
incorrect
~K ⊃ ~I
correct
incorrect
K ⊃ ~I
correct
incorrect
All of the above
correct
incorrect
*
not completed
.
Which of the following propositions is derivable from the given premises using the rules available through section 3.4 (MP, MT, DS, HS, Add, Conj, Simp, CD, DM, Dist, Assoc, Com, DN, Cont, Impl, Equiv, Exp, Taut)?
1. ~I ∨ J
2. ~K ∨ I
a)~K ⊃ J
correct
incorrect
~K ⊃ ~J
correct
incorrect
K ⊃ ~J
correct
incorrect
K ⊃ J
correct
incorrect
J ⊃ K
correct
incorrect
*
not completed
.
Which of the following propositions is an immediate (one-step) consequence in PL of the given premises?
1. L ⊃ ~O
2. M ⊃ (N ⊃ O)
(M • N) ⊃ O
correct
incorrect
(M ⊃ N) ⊃ O
correct
incorrect
(M • N) • O
correct
incorrect
M ⊃ (O ⊃ N)
correct
incorrect
(N ⊃ O) ⊃ M
correct
incorrect
*
not completed
.
Which of the following propositions is derivable from the given premises using the rules available through section 3.4 (MP, MT, DS, HS, Add, Conj, Simp, CD, DM, Dist, Assoc, Com, DN, Cont, Impl, Equiv, Exp, Taut)?
1. L ⊃ ~O
2. M ⊃ (N ⊃ O)
L ⊃ M
correct
incorrect
L ⊃ ~N
correct
incorrect
L ⊃ (M ∨ N)
correct
incorrect
L ⊃ (M ⊃ N)
correct
incorrect
L ⊃ ~(M • N)
correct
incorrect
*
not completed
.
Which of the following propositions is an immediate (one-step) consequence in PL of the given premises?
1. (P • ~Q) ⊃ R
2. S • P
3. (~Q ⊃ R) ⊃ T
(P ⊃ ~Q) ⊃ R
correct
incorrect
P ⊃ (~Q ⊃ R)
correct
incorrect
P ⊃ (R ⊃ ~Q)
correct
incorrect
R ⊃ (P • ~Q)
correct
incorrect
~R ⊃ (P • ~Q)
correct
incorrect
*
not completed
.
Which of the following propositions is derivable from the given premises using the rules available through section 3.4 (MP, MT, DS, HS, Add, Conj, Simp, CD, DM, Dist, Assoc, Com, DN, Cont, Impl, Equiv, Exp, Taut)?
1. (P • ~Q) ⊃ R
2. S • P
3. (~Q ⊃ R) ⊃ T
Q ⊃ R
correct
incorrect
~(Q ⊃ R)
correct
incorrect
R ⊃ Q
correct
incorrect
T
correct
incorrect
~T
correct
incorrect
*
not completed
.
Which of the following propositions is an immediate (one-step) consequence in PL of the given premises?
1. ~U ⊃ W
2. X ⊃ ~W
3. ~Y ∨ X
4. ~Z ⊃ Y
W ⊃ X
correct
incorrect
~~W ⊃ ~X
correct
incorrect
W ⊃ ~U
correct
incorrect
~W ⊃ ~U
correct
incorrect
~Y ⊃ ~Z
correct
incorrect
*
not completed
.
Which of the following propositions is derivable from the given premises using the rules available through section 3.4 (MP, MT, DS, HS, Add, Conj, Simp, CD, DM, Dist, Assoc, Com, DN, Cont, Impl, Equiv, Exp, Taut)?
1. ~U ⊃ W
2. X ⊃ ~W
3. ~Y ∨ X
4. ~Z ⊃ Y
U ⊃ ~X
correct
incorrect
U ⊃ ~Y
correct
incorrect
~U ⊃ ~Z
correct
incorrect
~U ⊃ X
correct
incorrect
~U ⊃ Z
correct
incorrect
*
not completed
.
Which of the following propositions is an immediate (one-step) consequence in PL of the given premises?
1. A ⊃ (B ⊃ C)
2. ~(C ∨ D)
A ⊃ (C ⊃ B)
correct
incorrect
A ⊃ (~B ⊃ ~C)
correct
incorrect
A ⊃ (~C ⊃ ~B)
correct
incorrect
(B ⊃ C) ⊃ A
correct
incorrect
~(B ⊃ C) ⊃ A
correct
incorrect
*
not completed
.
Which of the following propositions is derivable from the given premises using the rules available through section 3.4 (MP, MT, DS, HS, Add, Conj, Simp, CD, DM, Dist, Assoc, Com, DN, Cont, Impl, Equiv, Exp, Taut)?
1. A ⊃ (B ⊃ C)
2. ~(C ∨ D)
A • B
correct
incorrect
~(A ∨ B)
correct
incorrect
A ⊃ B
correct
incorrect
B ⊃ A
correct
incorrect
A ⊃ ~B
correct
incorrect
*
not completed
.
Which of the following propositions is an immediate (one-step) consequence in PL of the given premises?
1. E ≡ ~F
2. F ∨ G
3. E
(E ⊃ F) • (F ⊃ E)
correct
incorrect
~(E ⊃ F) • ~(F ⊃ E)
correct
incorrect
(E • ~F) • (~E • ~~F)
correct
incorrect
(E • ~F) ∨ (~E • ~~F)
correct
incorrect
(E ∨ ~F) • (~E ∨ ~~F)
correct
incorrect
*
not completed
.
Which of the following propositions is derivable from the given premises using the rules available through section 3.4 (MP, MT, DS, HS, Add, Conj, Simp, CD, DM, Dist, Assoc, Com, DN, Cont, Impl, Equiv, Exp, Taut)?
1. E ≡ ~F
2. F ∨ G
3. E
~E
correct
incorrect
~F
correct
incorrect
~G
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 immediate (one-step) consequence in PL of the given premises?
1. ~(H ≡ I)v2. H ⊃ I
3. H ∨ J
~[(H ⊃ I) • (I ⊃ H)]
correct
incorrect
~[(H ⊃ I) ∨ (I ⊃ H)]
correct
incorrect
~[(H • I) ∨ (F • H)]
correct
incorrect
~[(H • I) ∨ (~(H • I)
correct
incorrect
~(H ⊃ I) • ~(I ⊃ H)
correct
incorrect
*
not completed
.
Which of the following propositions is derivable from the given premises using the rules available through section 3.4 (MP, MT, DS, HS, Add, Conj, Simp, CD, DM, Dist, Assoc, Com, DN, Cont, Impl, Equiv, Exp, Taut)?
1. ~(H ≡ I)
2. H ⊃ I
3. H ∨ J
H
correct
incorrect
~I
correct
incorrect
~J
correct
incorrect
All of the above
correct
incorrect
None of the above
correct
incorrect
*
not completed
.
Which of the following propositions is an immediate (one-step) consequence in PL of the given premises?
1. K ⊃ (L ⊃ M)
2. N ⊃ (O ⊃ M)
3. (K • L) ∨ (N • O)
K ⊃ (M ⊃ L)
correct
incorrect
K ⊃ ~(M ⊃ L)
correct
incorrect
(K ⊃ L) ⊃ M
correct
incorrect
(K ⊃ L) • M
correct
incorrect
(K • L) ⊃ M
correct
incorrect
*
not completed
.
Which of the following propositions is derivable from the given premises using the rules available through section 3.4 (MP, MT, DS, HS, Add, Conj, Simp, CD, DM, Dist, Assoc, Com, DN, Cont, Impl, Equiv, Exp, Taut)?
1. K ⊃ (L ⊃ M)
2. N ⊃ (O ⊃ M)
3. (K • L) ∨ (N • O)
K • L
correct
incorrect
N • O
correct
incorrect
L ⊃ M
correct
incorrect
O ⊃ M
correct
incorrect
M
correct
incorrect
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