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2-5 Reasoning (Get out the paper from Friday)

2-5 Reasoning (Get out the paper from Friday). Inductive Reasoning - Making a general rule or conclusion based on a pattern Deductive Reasoning - Using logic to draw conclusions from given facts Law of Detachment : If p -> q is a true statement and p is true, then q is true Law of Syllogism :

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2-5 Reasoning (Get out the paper from Friday)

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  1. 2-5 Reasoning(Get out the paper from Friday) • Inductive Reasoning- Making a general rule or conclusion based on a pattern • Deductive Reasoning- Using logic to draw conclusions from given facts • Law of Detachment: If p -> q is a true statement and p is true, then q is true • Law of Syllogism: If p -> q and q -> r are true statements, then p -> r is a true statement

  2. Law of Detachment: Ex) If you wear shoes, then you have feet. Given: Mark wears shoes. Conclusion: ______________________ Ex) If a cat falls, then it lands on its feet. Given: Felix the cat lands on his feet. Conclusion: ____________________

  3. Law of Syllogism Ex) AB = MD MD = TW ______________ Ex) If an angle measures 30°, then the angle is acute. If an angle is acute, then it is not obtuse. _________________________________

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