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Needhelpp101

Determine if the argument is valid or invalid. Give a reason to justify answer. If it is cold, then you need a coat. You do not need a coat. ∴ It is not cold.

  • one year ago
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  1. kt7779
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    invalid

    • one year ago
  2. zugzwang
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    It's actually valid.

    • one year ago
  3. skade
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    valid

    • one year ago
  4. kt7779
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    oh

    • one year ago
  5. zugzwang
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    TYPO lol if p then q not q therefore not p THIS is the valid one, sorry

    • one year ago
  6. zugzwang
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    Modus Tollens*

    • one year ago
  7. Needhelpp101
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    thanks Guys :)

    • one year ago
  8. kt7779
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    yep

    • one year ago
  9. zugzwang
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    okay, first, we start with p --> q and ~q right?

    • one year ago
  10. Needhelpp101
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    yeah

    • one year ago
  11. zugzwang
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    Well, what does it mean if p implies q? It means either p is false, or q is true, right? Because if p is not false, or p is true, it automatically implies q is true.

    • one year ago
  12. Needhelpp101
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    yeah

    • one year ago
  13. zugzwang
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    So p is false or q is true. At least one of these must be true, right?

    • one year ago
  14. zugzwang
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    But you also have the assumption q is false (You do not need a coat)

    • one year ago
  15. Needhelpp101
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    yep

    • one year ago
  16. zugzwang
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    p is false OR q is true. At lease one of these statements is true, and it's NOT the second statement, because we assumed q is false. Then it must be the case that the first statement is true (p is false) or (It is not cold)

    • one year ago
  17. Needhelpp101
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    ty Zug <3

    • one year ago
  18. zugzwang
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    anytime

    • one year ago
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