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Mastering Logical Arguments: Truth Tables Exploration

Dive into the world of logical reasoning by learning how to evaluate arguments for validity through proofs and truth tables. Discover different approaches to determining the truth values of complex statements using basic truth table principles.

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Mastering Logical Arguments: Truth Tables Exploration

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  1. Why Truth Tables? We will learn several ways to evaluate arguments for validity. * Proofs * Truth Tables * Trees

  2. Why Truth Tables? There is no way to show that an argument is INVALID with the proof method.

  3. Why Truth Tables? There is no way to show that an argument is INVALID with the proof method. Your failure to find a proof does not show an argument is INVALID.

  4. Basic Truth Tables Truth tables tell us how to calculate truth values (T or F) of a complex statement give that we know the values of its parts. P T F -P F T The truth value of -P is the opposite of the value of P.

  5. Basic Truth Tables Truth tables tell us how to calculate truth values (T or F) of a complex statement give that we know the values of its parts. The truth value of -P is the opposite of the value of P. P T F -P F T Dogs are mammals. Dogs are not mammals.

  6. Basic Truth Tables Truth tables tell us how to calculate truth values (T or F) of a complex statement give that we know the values of its parts. The truth value of -P is the opposite of the value of P. P T F -P F T Dogs are fish. Dogs are not fish.

  7. Basic Truth Tables Truth tables tell us how to calculate truth values (T or F) of a complex statement give that we know the values of its parts. P T F T F Q T T F F P&Q T F F F The truth value of P&Q is T iff P is T AND Q is T.

  8. Basic Truth Tables Truth tables tell us how to calculate truth values (T or F) of a complex statement give that we know the values of its parts. P T F T F Q T T F F PvQ T T T F The truth value of PvQ is T iff P is T OR Q is T.

  9. Basic Truth Tables Truth tables tell us how to calculate truth values (T or F) of a complex statement give that we know the values of its parts. P T F T F Q T T F F P<>Q T F F T The truth value of P<>Q is T iff the values of P and Q match .

  10. Basic Truth Tables Watch Out! Truth tables tell us how to calculate truth values (T or F) of a complex statement give that we know the values of its parts. P T F T F Q T T F F P<>Q T F F T The truth value of P<>Q is T iff the values of P and Q match .

  11. Basic Truth Tables Truth tables tell us how to calculate truth values (T or F) of a complex statement give that we know the values of its parts. P T F T F Q T T F F P>Q T T F T The truth value of P>Q is T iff P is F OR Q is T.

  12. Basic Truth Tables The only F row Truth tables tell us how to calculate truth values (T or F) of a complex statement give that we know the values of its parts. P T F T F Q T T F F P>Q T T F T The truth value of P>Q is T iff P is F OR Q is T.

  13. Basic Truth Tables P T F T F Q T T F F P>Q T T F T If water is wet, then dogs are mammals. Truth tables tell us how to calculate truth values (T or F) of a complex statement give that we know the values of its parts. The truth value of P>Q is T iff P is F OR Q is T.

  14. Basic Truth Tables P T F T F Q T T F F P>Q T T F T If dogs are mammals, then dogs have hair. Truth tables tell us how to calculate truth values (T or F) of a complex statement give that we know the values of its parts. The truth value of P>Q is T iff P is F OR Q is T.

  15. Basic Truth Tables P T F T F Q T T F F P>Q T T F T If the moon is made of cheese, then some people are wrong. Truth tables tell us how to calculate truth values (T or F) of a complex statement give that we know the values of its parts. The truth value of P>Q is T iff P is F OR Q is T.

  16. Basic Truth Tables P T F T F Q T T F F P>Q T T F T If the moon is made of cheese, then the moon is edible. Truth tables tell us how to calculate truth values (T or F) of a complex statement give that we know the values of its parts. The truth value of P>Q is T iff P is F OR Q is T.

  17. Basic Truth Tables P T F T F Q T T F F P>Q T T F T Truth tables tell us how to calculate truth values (T or F) of a complex statement give that we know the values of its parts. The truth value of P>Q is T iff P is F OR Q is T.

  18. Basic Truth Tables P T F T F Q T T F F P>Q T? T? F T? If water is wet, then dogs are mammals. Truth tables tell us how to calculate truth values (T or F) of a complex statement give that we know the values of its parts. The truth value of P>Q is T iff P is F OR Q is T.

  19. Basic Truth Tables P T F T F Q T T F F P>Q T? T? F T? Truth tables tell us how to calculate truth values (T or F) of a complex statement give that we know the values of its parts. The truth value of P>Q is T iff P is F OR Q is T.

  20. Basic Truth Tables P T F T F Q T T F F P>Q T T F T Truth tables tell us how to calculate truth values (T or F) of a complex statement give that we know the values of its parts. The truth value of P>Q is T iff P is F OR Q is T.

  21. Basic Truth Tables P T F T F Q T T F F P>Q T T F T Truth tables tell us how to calculate truth values (T or F) of a complex statement give that we know the values of its parts. The truth value of P>Q is T iff P is F OR Q is T.

  22. Basic Truth Tables P T F T F Q T T F F P>Q T T F T Truth tables tell us how to calculate truth values (T or F) of a complex statement give that we know the values of its parts. The truth value of P>Q is T iff P is F OR Q is T.

  23. Basic Truth Tables P T F T F Q T T F F P>Q T T F T Truth tables tell us how to calculate truth values (T or F) of a complex statement give that we know the values of its parts. The truth value of P>Q is T iff P is F OR Q is T.

  24. Basic Truth Tables P T F T F Q T T F F P>Q T T F T Truth tables tell us how to calculate truth values (T or F) of a complex statement give that we know the values of its parts. The truth value of P>Q is T iff P is F OR Q is T.

  25. Basic Truth Tables P T F T F Q T T F F P>Q T T F T Truth tables tell us how to calculate truth values (T or F) of a complex statement give that we know the values of its parts. The truth value of P>Q is T iff P is F OR Q is T. For more click here

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