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Logical Proof by Contradiction Method Explained

Learn how to prove a claim by considering the consequences if it were false. Understand the setup, process, and examples of proof by contradiction method.

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Logical Proof by Contradiction Method Explained

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  1. Proof By Contradiction Page 96

  2. Definition • Prove a claim by thinking about what the consequences would be if it were false. If the claim being false would lead to an impossibility, that shows that the claim must be true.

  3. Set-Up Suppose… Then… But this is impossible, so…

  4. Example Prove that the lines and are parallel by proof by contradiction.

  5. Suppose and intersect at some point E. Then the angles in AEC add up to more than But this is impossible, so and must be parallel.

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