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Deductive Reasoning

This guide explores the fundamentals of deductive reasoning, which employs established rules to derive conclusions, contrasted with inductive reasoning that formulates conjectures using examples. Key concepts include the Law of Detachment—if a true conditional and its hypothesis are true, then the conclusion must also be true—and the Law of Syllogism, which states that if two conditionals are true, the derived conclusion is also valid. Plus, enjoy a touch of humor with light-hearted jokes about rabbits!

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Deductive Reasoning

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  1. Deductive Reasoning Section 2-4

  2. Deductive reasoning uses a rule to make a conclusion. Inductive reasoning uses examples to make a conjecture or rule.

  3. Law of Detachment If is a true conditional and p is true, then q is true. Ex. “If a coin is a penny, then it is made of copper.” • A coin is a penny. 2. It is made of copper.

  4. Law of Syllogism If and are true conditionals, then is also true. • “If it’s an apple, then it’s a fruit.” • “If it’s a fruit, then it’s good for you.” 3. “If it’s an apple, then it’s good for you.”

  5. Joke Time How do you paint a rabbit? With hare spray!

  6. What did the rabbits say when the farmer caught them in the garden? Lettuce alone!

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