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Intro to Logic Chapter 9 Part 2 Pre-Worksheet

Total questions: 7

Worksheet time: 4mins

Name
Class
Date
1.

Define "Quantifier sentences"

a)

The quantifier is not its major operator

b)

Have the quantifier as their major operator

2.

Not every sentence that has a quantifier is a quantifier sentence.

a)

True

b)

False

3.

Are the following logically equivalent?

(x)(Mx⊃ Ex) : : (x)Mx ⊃ (x)Ex

a)

Yes

b)

No

4.

How many types of sentences do we have in PL?

a)

4

b)

6

c)

8

d)

10

5.

Symbolize the following:

Some dogs are ugly and some are mean.

a)

((Ǝx)(Dx • Ux) • (Mx))

b)

((Ǝx)(Dx • Ux) • (Ǝx)(Mx))

c)

((Ǝx)(Dx • Ux) • (Dx • Mx))

d)

((Ǝx)(Dx • Ux) • (Ǝx)(Dx • Mx))

6.

What is the major operator of the following sentence?

No dogs are ugly and all dogs are mean.

a)

Existential quantifier

b)

Negated existential quantifier

c)

Universal Quantifier

d)

None of the above.

7.

Do the following have the same MO?

Anyone who is beautiful is mean

If anyone is beautiful it is Ella

a)

Yes

b)

No