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Bellringer. Make sure your name is on Last Week’s Bellringers and turn them in to your Class Bin Have your Notes and HW out on your desk Work on p. 105 #21 – 23 I remembered after class on Friday, that I did not give attendance Pi Dollars last week. I will do that at the end of today.
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Bellringer • Make sure your name is on Last Week’s Bellringers and turn them in to your Class Bin • Have your Notes and HW out on your desk • Work on p. 105 #21 – 23 • I remembered after class on Friday, that I did not give attendance Pi Dollars last week. I will do that at the end of today.
Section 2.4 Deductive Reasoning
Back to the Car example… • If Coach Combs’ car is out of gas, then it will not start. • Coach Combs’ car is out of gas. What can we conclude? • Coach Combs’ car will not start. What can we conclude?
Law of Detachment • If the hypothesis of a true conditional is true, then the conclusion is true. • But you CANNOT assume and go backwards • What can we conclude? • If there is lightning, then it is not safe to be out in the open. Maria sees lightning from the soccer field.
Law of Detachment • If the hypothesis of a true conditional is true, then the conclusion is true. • But you CANNOT assume and go backwards • What can we conclude? • If it is Tuesday, then you will go bowling. You go bowling.
Car Example • If Coach Combs’ car is out of gas, then it will not start. • If it will not start, then Coach Combs will be late to school. • What can we conclude?
Law of Syllogism • If we have two conditional statements and the conclusion of one matches the hypothesis of the other, then we can combine them as one conditional statement • If it is Saturday, then you walk to work. • If you walk to work, then you wear sneakers.
Using Both • If you live in Accra, then you live in Ghana. • If you live in Ghana, then you live in Africa. • Aissa lives in Accra. • Try drawing a conclusion on p. 109 “Got It?” #3a
Quick Guide to Help… • Law of Detachment Given a conditional and a fact. Your answer will be a fact (or no conclusion) • Law of Syllogism Given 2 conditional statements. Your answer will be a conditional statement (or no conclusion)
Homework • p. 110 #6 – 29, skip #25 • Quiz Tomorrow • Test next Tuesday