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Intro to Logic chapter 4 pt.1

Total questions: 5

Worksheet time: 3mins

Name
Class
Date
1.

Which of the following are substation instances of the following form?

(p ∨ q) ∨ q

a)

(((A ∨ B) ∨ (F ∨ J)) ∨ J)

b)

((E ≡ D) ∨ ~E)

c)

(((A ≡ B) ∨ (F ∨ J)) ∨(F ∨ J))

d)

(((A ≡ B) ∨ (F ∨ J)) ∨ (A ≡ B))

2.

A conditional is false when it is true or false.

a)

True

b)

False

3.

A conjunction is false if and only if both conjuncts are false.

a)

True

b)

False

4.

In Sentential Logic, statement constants is a

a)

Lower-case letter that symbolizes a particular simple sentence

b)

Capital letter (mid-alphabet) that can take as a substitution instance any statement of sentential logic.

c)

Capital letter that symbolizes a particular simple sentence

d)

Lower-case letter (mid-alphabet) that can take as a substitution instance any statement of sentential logic.

5.

How many columns would you need if there are three variables?

a)

(3

b)

4

c)

8

d)

9