1
Math 2534 Logic Worksheet - Due Monday
Put all work on another sheet of paper and be neat and complete in your work
Problem 1:
Given the following statements convert the following sentences into symbolic logic form:
Part A P: Ed goes camping
Q: Mountain lions are near
R: It is snowing
a) It is snowing and Ed goes camping.
b) It is not true that mountain lions are near but Ed does not go camping.
c) It is a clear day or Ed does not camp.
d) Either it is a clear day or mountain lions are near.
Part B Convert the following symbolic logic into natural conversational English.
a) (R Q) P
b) (P Q)
c) Q (P Q)
d) R (P Q)
∧∨¬
¬∨
∨∧
⊕∧
Problem 2: Using Truth Tables, verify the following: [( ) ] ( )PQ R P Q R
¬
∧∨¬≡¬∨¬∧
Summarize your results with clear English sentences.
Problem 3:
Use DeMogan’s Law to find the negation of the following sentences. Show how you use
the symbolic logic and then restate the results in English.
a) Anna will hike or rock climb
b) Laura will study and pass the test
Problem 4: Put the following into conditional propositional logic form.
a) I will take a nap if you do.
b) You will feel better only if you take a nap.
c) If you do not leave then I can not finish my work.
d) The game is on or it is raining.
e) You must exercise to build endurance.
