Introductory Logic 
Quiz #4

October 10, 2005

Name: ________________________ 
R. Hammack

Score: _________

(a)

If pharmaceutical makers conceal test results, they are subject to substantial fines. 
(b)

Threestrikes laws will be enforced and longer sentences imposed only if hundreds of new prisons are built, and that will happen only if taxes are increased. 
[(S • L) ⊃ H] • (H ⊃ I)
Where
S = Threestrikes laws will be enforced
L = longer sentences (will be) imposed
H= hundreds of new prisons are built
I = taxes are increased
2.
(a)

Write out the truth table for ⊃ 

p ⊃ q




(b)

Write out the truth table for • 

p • q




3. Suppose statements A and B are true, and X and Y are false. Decide
if the following statement is true or false.
X ≡ [(A • ~B) ⊃ (X ∨ A)] 
X

≡

[(

A

•

~

B

)

⊃

(

X

∨

A

)]


F

F


T

F

F

T

T

T


F

T

T
