math422sept182015.notebook
September 18, 2015
due Monday: p. 69­70 # 18­26 even, 31,32,34,36 p. 78 # 1­8 Do Now:
1. What is the converse of "If its Friday, then I'm happy"?
2. What's the inverse of "If Alex can't go to the party, then Jerry will" ?
3. Write a statement that is logically equivalent to " If I go apple picking, then I will not meet you for lunch"
4. Given the following sets of premises, decide whether or not there is a conclusion. If there is, state the conclusion. You should be able to justify your answers.
a) Marie can go to the party if you give her a ride.
Marie can go to the party.
b) Alan and Scott can play in the game.
If Alan or Pete can play in the game, then Joe doesn't start the game.
c) If I pick apples this weekend, then I will make applesauce.
I don't make applesauce.
d) If you are not part of the solution, you are part of the problem.
You are not part of the solution.
math422sept182015.notebook
September 18, 2015
math422sept182015.notebook
September 18, 2015
If you assume p v q is true and ~p is true, is there a conclusion that must follow? Why/
why not?
Given: The rash is either from poison ivy or poison oak.
The rash is not from poison oak.
Conclusion:
Given: ~r v s r
Conclusion:
Given : g v ~h
~h
Conclusion:
math422sept182015.notebook
September 18, 2015
The law of disjunctive inference:
If a disjunction is true, and one of the disjuncts is false, the other disjunct must be true.
In symbols: p v q ~p
q
p v q ~q
p
math422sept182015.notebook
September 18, 2015