2 If-Then Statement: A statement with two parts: an “if” part that contains the hypothesis and a “then” part that contains the conclusionHypothesis: The “if” part of an if-then statement (may be an implied “if”)Conclusion: The “then” part of an if-then statement (may be an implied “then”)Deductive Reasoning: Deductive reasoning uses facts, definitions, accepted properties and the laws of logic to make a logical argument (may not always be correct)
3 Law of DetachmentIf the hypothesis (p) of a TRUE if-then statement is true, then the conclusion (q) is also truep q, then true p true qIf you are late to class, then you will be counted tardy.Mark is late to class.We conclude: Mark is counted tardy
4 Law of SyllogismIf p q and q r are true statements, then p r must be true as wellIf you do well on all of your homework, then you will do well on tests and quizzes. If you do well on tests and quizzes, then you will pass the class.If you do well on all of your homework, then you will pass the class
5 Homework: Assignment # 2 Page 85 Problems 1-6 all (we will do these together in class), 7-19 all, odds only (on your own)If you are quiet and work until you are dismissed, you will not have to write the problems on 1-19
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