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WARM UP If possible, write the bi-conditional form of the statement below: Palm trees grow in warm climates ANNOUNCEMENTS • Retention Quiz Friday • Half old material, half new material • Homework and Warm ups due Friday WHAT CAN WE CONCLUDE??? • Sherlock Holmes knows that whoever was in the kitchen stole the tomatoes • Sherlock Holmes discovers that Mrs. Hudson was in the kitchen • What can he conclude? DEDUCTIVE REASONING • The process of using logic to get from what you know is true to new conclusions • If the statements are true (what you know) what you conclude will also be true TYPE ONE • If Ms. Keller is hungry then she is grumpy • Ms. Keller is hungry • What can we conclude??? LAW OF DETACHMENT If a conditional statement its true, and its hypothesis is true, then its conclusion will be true as well. Symbolic form: If p→q is a true statement and p is true then q is true **→ means if then statement TYPE TWO • If it rains the flowers will grow • If the flowers grow Ms. Keller will be happy THEREFORE • If it rains Ms. Keller will be __________ WHAT DID WE DO??? What do you notice about the first two conditional statements? LAW OF SYLLOGISM Allows you to state one conclusion from 2 true conditional statements when the conclusion from one statement is the hypothesis from the other statement. Symbolic Form: If p→q and q→r are true statements, then p→r is a true statement **→ means if then statement HOMEWORK Pg: 62-63 #’s 1-4 & 6-11