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Intro to Logic Chapter 9 Pre Worksheet

Total questions: 8

Worksheet time: 4mins

Name
Class
Date
1.

Which of the following is logically equivalent to ~(x)(Fx •~Dx)

a)

~(Ǝx)(Sx ⊃Px)

b)

(Ǝx)(Sx• Px)

c)

(x)(Fx •Dx)

d)

(Ǝx)(Sx ⊃ Px)

2.

Symbolize the following:

Only rats are ugly

a)

(x)(Rx ⊃ Ux)

b)

(x)(Ux •Rx)

c)

(x)(Rx • Ux)

d)

(x)(Ux ⊃ Rx)

3.

Symbolize the following:

No dog is not pretty

a)

~(Ǝx)(Dx • ~Px)

b)

~(x)(Dx ⊃ ~Px)

c)

(Ǝx)(Dx • ~Px)

d)

(x)(Dx ⊃ ~Px)

4.

When a sentence begins with "Only" what follows is the antecedent?

a)

True

b)

False

5.

Symbolize the following:

All crickets and beetles are insects

a)

(x) ((Cx • Bx) ⊃Ix)

b)

(x) ((Cx ⊃ Bx) ∨ Ix)

c)

(x) ((Cx ⊃ Bx) •Ix)

d)

(x) ((Cx ∨ Bx) ⊃Ix)

6.

Symbolize the following:

All guys are tall.

a)

(Ǝx) (Gx ⊃ Tx)

b)

(x) (Gx • Tx)

c)

(Ǝx) (Gx • Tx)

d)

(x) (Gx ⊃ Tx)

7.

Which id the following is logically equivalent to:

~(x)(Sx⊃ Px)

a)

(x)(Sx⊃ Px)

b)

(Ǝx)(Sx • ~Px)

c)

(Ǝx)(Sx • Px)

d)

~(Ǝx)(Sx • Px)

8.

Symbolize the following using the following dictionary:

Bx = x is beautiful, Px= x is a person, Sx= x is smart, Fx= x is funny


Everyone beautiful is smart and funny.

a)

(Ǝx)((Sx • Fx) ⊃ (Px • Bx))

b)

(Ǝx) (Px • Bx) • (Sx • Fx))

c)

(x)((Sx • Fx) ⊃ (Px • Bx))

d)

(x)((Px • Bx) ⊃ (Sx • Fx))