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Intro to Logic Chapter 3 part2.

Total questions: 6

Worksheet time: 3mins

Name
Class
Date
1.

A disjunction is false if and only if both disjuncts are false.

a)

True

b)

False

2.

If M= true and R= False the following formula is?

((M • R) ∨ M)

a)

True

b)

False

3.

Symbolize the following sentence using the dictionary provided:

Ella is big provided that Ella eats a a lot, nevertheless Ella is the prettiest dog.

B≡ Ella is big

E≡ Ella eats a lot

P≡ Ella is the prettiest dog

a)

((B ⊃E) ∨ P)

b)

((E ⊃B) • P)

c)

((E ⊃B) ∨ P)

d)

((B ⊃E) • P)

4.

Symbolize the following sentence using the dictionary provided:

Not both Ella and Mia are the prettiest dog.

E≡ Ella is the prettiest dog

M≡ Mia is the prettiest dog

a)

~(M •E)

b)

(~E • ~M)

c)

~(M ∨ E)

d)

(~E ∨ ~M)

5.

If E= false and M= unknown, what is the following formula?

((E • M) •M)

a)

True

b)

False

c)

Unknown

6.

If P is unknown what is the following formula?

(P ≡ P)

a)

True

b)

False

c)

Unknown