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Validity Check through Truth Table Analysis

Learn to determine argument validity using truth tables and symbols. Interpret and identify conditions for argument invalidation. Practice rewriting arguments symbolically and explore logical reasoning.

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Validity Check through Truth Table Analysis

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Presentation Transcript

  1. Analyzing Arguments

  2. Objectives • Determine the validity of an argument using a truth table. • State the conditions under which an argument is invalid

  3. Vocabulary • hypothesis • conclusion • valid argument

  4. Use the given symbols to rewrite the argument in symbolic form: • If it is Tuesday, then the tour group is in Belgium. • The tour group is not in Belgium. p: It is Tuesday. The tour group is in Belgium. q: Therefore, it is not Tuesday.

  5. Make a truth table to determine the validity of the argument

  6. Define the necessary symbols, rewrite the argument in symbolic form, and use a truth table to determine whether the argument is valid. If you are not in a hurry, you eat at Lulu’s Diner. If you are in a hurry, you do not eat good food. You eat at Lulu’s. Therefore, you eat good food.

  7. If you are not in a hurry, you eat at Lulu’s Diner. If you are in a hurry, you do not eat good food. You eat at Lulu’s. Therefore, you eat good food. 1. If you are not in a hurry, you eat at Lulu’s Diner. If you are in a hurry, you do not eat good food. 2. You eat at Lulu’s. 3. Therefore, you eat good food.

  8. If you are not in a hurry, you eat at Lulu’s Diner. If you are in a hurry, you do not eat good food. You eat at Lulu’s. Therefore, you eat good food. p: You are in a hurry. Your eat at Lulu’s Diner. q: You eat good food. r:

  9. 1. If you are not in a hurry, you eat at Lulu’s Diner. If you are in a hurry, you do not eat good food. 2. You eat at Lulu’s. 3. Therefore, you eat good food. 1. 2. 3. q Therefore, r.

  10. If the argument is invalid, interpret the specific circumstances that cause the argument to be invalid. If you are not in a hurry, you eat at Lulu’s Diner. If you are in a hurry, you do not eat good food. You eat at Lulu’s. Therefore, you eat good food.

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