Skip to main content
United States
Jump To
Register or Log In
Register or Log In
Instructors
Browse Products
Getting Started
Support
Students
Browse Products
Getting Started
Support
Back to top
Return to Introduction to Formal Logic Student Resources
Section 4.05 Self Quiz
Quiz Content
*
not completed
.
Which of the following propositions is an immediate (one-step) consequence in M of the given premises:
1. (∀x)(Ax ⊃ Bx)
2. ~(∀x)(Ax ⊃ ~Cx)
Ax ⊃ ~Cx
correct
incorrect
~(Ax ⊃ ~Cx)
correct
incorrect
~(∃x)~(Ax ⊃ ~Cx)
correct
incorrect
Ax ⊃ Bx
correct
incorrect
(∃x)(Ax ⊃ ~Cx)
correct
incorrect
*
not completed
.
Which of the following propositions is derivable from the given premises in M:
1. (∀x)(Ax ⊃ Bx)
2. ~(∀x)(Ax ⊃ ~Cx)
(∀x)(Ax • Cx)
correct
incorrect
(∀x)(Bx • Cx)
correct
incorrect
(∃x)(Bx • Cx)
correct
incorrect
(∃x)~Cx
correct
incorrect
(∀x)~Cx
correct
incorrect
*
not completed
.
Which of the following propositions is an immediate (one-step) consequence in M of the given premises:
1. (∀x)(Dx ⊃ Ex)
2. (∀x)(Fx ⊃ Gx)
3. ~(∀x)(Ex • ~Fx)
Ex • ~Fx
correct
incorrect
~(∃x)~(Ex • ~Fx)
correct
incorrect
Da ⊃ Eb
correct
incorrect
(∃x)~(Ex • ~Fx)
correct
incorrect
~(Ex • ~Fx)
correct
incorrect
*
not completed
.
Which of the following propositions is derivable from the given premises in M:
1. (∀x)(Dx ⊃ Ex)
2. (∀x)(Fx ⊃ Gx)
3. ~(∀x)(Ex • ~Fx)
(∃x)(Dx • Gx)
correct
incorrect
(∃x)(Dx • ~Gx)
correct
incorrect
(∀x) (Dx ⊃ Gx)
correct
incorrect
(∃x)(Dx ⊃ Gx)
correct
incorrect
(∀x) (Gx ⊃ Dx)
correct
incorrect
*
not completed
.
Which of the following propositions is an immediate (one-step) consequence in M of the given premises:
1. (∃x)(Hx • Ix) ⊃ (∀x)(Hx ⊃ ~Jx)
2. (∃x)(Hx • Jx)
(Ha • Ia) ⊃ (∀x)(Hx ⊃ ~Jx)
correct
incorrect
Ha • Ja
correct
incorrect
(Hx • Ix) ⊃ (Hx ⊃ ~Jx)
correct
incorrect
Hx • Jx
correct
incorrect
(Ha • Ia) ⊃ (Ha ⊃ ~Ja)
correct
incorrect
*
not completed
.
Which of the following propositions is derivable from the given premises in M:
1. (∃x)(Hx • Ix) ⊃ (∀x)(Hx ⊃ ~Jx)
2. (∃x)(Hx • Jx)
(∀x)(Hx ⊃ ~Ix)
correct
incorrect
(∀x)Hx
correct
incorrect
(∀x)Ix
correct
incorrect
Ib
correct
incorrect
(∃x)Ix
correct
incorrect
*
not completed
.
Which of the following propositions is an immediate (one-step) consequence in M of the given premises:
1. (∀x)(Kx ⊃ ~Lx)
2. (∀x)(Kx ⊃ Mx)
3. ~(∀x)[Kx ⊃ (Nx ∨ Ox)]
(∃x)~[Kx ⊃ (Nx ∨ Ox)]
correct
incorrect
~(∃x)~[Kx ⊃ (Nx ∨ Ox)]
correct
incorrect
Kx ⊃ (Nx ∨ Ox)
correct
incorrect
Ka ⊃ (Nb ∨ Oc)
correct
incorrect
Kb ⊃ ~Lx
correct
incorrect
*
not completed
.
Which of the following propositions is derivable from the given premises in M:
1. (∀x)(Kx ⊃ ~Lx)
2. (∀x)(Kx ⊃ Mx)
3. ~(∀x)[Kx ⊃ (Nx ∨ Ox)]
(∀x)(Nx • Ox)
correct
incorrect
(∃x)~Kx
correct
incorrect
(∃x)[(Mx • ~Nx) • ~(Nx ∨ Ox)]
correct
incorrect
(∀x)~Kx
correct
incorrect
(∃x)(Nx • ~Mx)
correct
incorrect
*
not completed
.
Which of the following propositions is an immediate (one-step) consequence in M of the given premises:
1. (∃x)[(Px • Qx) • Rx]
2. (∀x)[(Px • Rx) ⊃ Sx]
3. ~(∃x)[(Qx • Sx) • ~Tx)
(Qx • Sx) • ~Tx
correct
incorrect
(∀x)~[(Qx • Sx) • ~Tx)]
correct
incorrect
~(∀x)~[(Qx • Sx) • ~Tx)]
correct
incorrect
~(∃x)[(Px • Rx) ⊃ Sx]
correct
incorrect
(Px • Qx) • Rx
correct
incorrect
*
not completed
.
Which of the following propositions is derivable from the given premises in M:
1. (∃x)[(Px • Qx) • Rx]
2. (∀x)[(Px • Rx) ⊃ Sx]
3. ~(∃x)[(Qx • Sx) • ~Tx)
(∃x) [(Px • Qx) • ~Tx]
correct
incorrect
(∃x)[(Px • Qx) ⊃ Tx]
correct
incorrect
(∃x) [~ (Px • Qx) • Tx]
correct
incorrect
(∀x) [(Qx • Sx) ⊃ ~Tx]
correct
incorrect
(∀x) [(Px • Sx) ⊃ ~Tx]
correct
incorrect
*
not completed
.
Which of the following propositions is an immediate (one-step) consequence in M of the given premises:
1. (∀x)(Ax ≡ Bx)
2. (∃x)~Ax
3. ~(∀x)Bx ⊃ ~(∃x)Cx
~(∃x)~Bx ⊃ ~(∃x)Cx
correct
incorrect
~Ax
correct
incorrect
Ac ≡ Ba
correct
incorrect
~(∀x)Bx ⊃ (∀x)~Cx
correct
incorrect
~(∀x)~Ax
correct
incorrect
*
not completed
.
Which of the following propositions is derivable from the given premises in M:
1. (∀x)(Ax ≡ Bx)
2. (∃x)~Ax
3. ~(∀x)Bx ⊃ ~(∃x)Cx
(∀x)~Cx
correct
incorrect
(∀x)Ax
correct
incorrect
(∃x)Cx
correct
incorrect
Ac
correct
incorrect
Bc
correct
incorrect
*
not completed
.
Which of the following propositions is an immediate (one-step) consequence in M of the given premises:
1. (∃x)Dx ≡ (∀x)(Cx ⊃ ~Fx)
2. (∀x)[~Ex ⊃ (Cx • Fx)]
3. ~(∀x)Ex
~(∃x)~Ex
correct
incorrect
~(∀x)~Ex
correct
incorrect
Dx ≡ (∀x)(Cx ⊃ ~Fx)
correct
incorrect
~Ex ⊃ (Cn • Fx)
correct
incorrect
(∃x)~Ex
correct
incorrect
*
not completed
.
Which of the following propositions is derivable from the given premises in M:
1. (∃x)Dx ≡ (∀x)(Cx ⊃ ~Fx)
2. (∀x)[~Ex ⊃ (Cx • Fx)]
3. ~(∀x)Ex
(∀x)~Cx
correct
incorrect
(∀x)~Dx
correct
incorrect
(∀x)~Fx
correct
incorrect
(∀x)Cx
correct
incorrect
(∀x)Fx
correct
incorrect
*
not completed
.
Which of the following propositions is an immediate (one-step) consequence in M of the given premises:
1. (∀x)(Gx ⊃ Hx) ⊃ (∃x)(Gx • Jx)
2. ~(∃x)(Gx • ~Kx)
3. (∀x)(Kx ⊃ Hx)
4. ~(∃x)(Jx • ~Ix)
Gx • ~Kx
correct
incorrect
Ga • ~Ka
correct
incorrect
(∀x)(Gx ⊃ Hx) ⊃ ~(∀x)~(Gx • Jx)
correct
incorrect
(Gx ⊃ Hx) ⊃ (∃x)(Gx • Jx)
correct
incorrect
~(∀x)~(Jx • ~Ix)
correct
incorrect
*
not completed
.
Which of the following propositions is derivable from the given premises in M:
1. (∀x)(Gx ⊃ Hx) ⊃ (∃x)(Gx • Jx)
2. ~(∃x)(Gx • ~Kx)
3. (∀x)(Kx ⊃ Hx)
4. ~(∃x)(Jx • ~Ix)
(∃x)~Ix
correct
incorrect
(∀x)(Gx • Ix)
correct
incorrect
(∀x)~Jx
correct
incorrect
(∃x)(Gx • Ix)
correct
incorrect
(∃x)(~Ix • ~Jx)
correct
incorrect
*
not completed
.
Which of the following propositions is an immediate (one-step) consequence in M of the given premises:
1. (∀x)[Lx ⊃ ~(Mx • Nx)]
2. (∀x)[Ox ⊃ (Lx • Nx)]
3. ~(∀x)(Ox ⊃ Mx) ⊃ ~(∀x)(Px ⊃ Qx)]
4. (∃x)Ox
~(∀x)(Ox ⊃ Mx) ⊃ (∃x)~(Px ⊃ Qx)]
correct
incorrect
Ox
correct
incorrect
~(∃x)(Ox ⊃ Mx) ⊃ ~(∀x)~(Px ⊃ Qx)]
correct
incorrect
(∀x)~(Ox ⊃ Mx) ⊃ ~(∀x)(Px ⊃ Qx)]
correct
incorrect
La ⊃ ~(Mx • Nx)
correct
incorrect
*
not completed
.
Which of the following propositions is derivable from the given premises in M:
1. (∀x)[Lx ⊃ ~(Mx • Nx)]
2. (∀x)[Ox ⊃ (Lx • Nx)]
3. ~(∀x)(Ox ⊃ Mx) ⊃ ~(∀x)(Px ⊃ Qx)]
4. (∃x)Ox
(∃x)(Px • ~Qx)
correct
incorrect
(∃x)(Px • Qx)
correct
incorrect
(∃x)(~Ox • ~Qx)
correct
incorrect
(∃x)(~Ox • ~Lx)
correct
incorrect
(∀x)Qx
correct
incorrect
*
not completed
.
Which of the following propositions is an immediate (one-step) consequence in M of the given premises:
1. (∃x)(Ax • Bx) ⊃ (∀x)(Ex ∨ Fx)
2. ~(∀x)(Bx ⊃ Ex)
3. ~(∃x)Fx
Fa
correct
incorrect
Fx
correct
incorrect
Bx ⊃ Ex
correct
incorrect
~(∃x)~(Bx ⊃ Ex)
correct
incorrect
(∃x)~(Bx ⊃ Ex)
correct
incorrect
*
not completed
.
Which of the following propositions is derivable from the given premises in M:
1. (∃x)(Ax • Bx) ⊃ (∀x)(Ex ∨ Fx)
2. ~(∀x)(Bx ⊃ Ex)
3. ~(∃x)Fx
(∀x)Fx
correct
incorrect
(∀x)(Bx • ~Ex)
correct
incorrect
~(∃x)Ax
correct
incorrect
(∃x)(Bx • ~Ex)
correct
incorrect
~(∀x)Ax
correct
incorrect
Exit Quiz
Next Question
Review all Questions
Submit Quiz
Reset
Are you sure?
You have some unanswered questions. Do you really want to submit?
Printed from , all rights reserved. © Oxford University Press, 2023
Select your Country
×