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Muzic44 Group Title

Could someone please help me with this question? Anyone? :c Read the two statements shown below. If the weather is not cold, Meg will go swimming. The weather is cold, or Meg will go swimming. Create truth tables for the logical form of the two statements (not to be submitted). Use the truth tables to determine whether the two statements are logically equivalent. Justify your answer.

  • one year ago
  • one year ago

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  1. Muzic44 Group Title
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    @Hero pwease help...

    • one year ago
  2. Muzic44 Group Title
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    @jim_thompson5910

    • one year ago
  3. jim_thompson5910 Group Title
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    do you know how to create truth tables?

    • one year ago
  4. Muzic44 Group Title
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    Somewhat... Thats with all the odd symbols right?

    • one year ago
  5. jim_thompson5910 Group Title
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    not sure what you mean by "Thats with all the odd symbols", but go ahead and make one and post it here so we can see it

    • one year ago
  6. Sujay Group Title
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    No, because she can go swimming and the weather can be cold. The first statement only guarantees swimming if the weather isn't cold. It doesn't put away the possibility of her going swimming in cold weather.

    • one year ago
  7. Muzic44 Group Title
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    @jim_thompson5910 I have no idea what I'm doing sorry.

    • one year ago
  8. Muzic44 Group Title
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    @Sujay But how to you justify that? Just by looking at it and logically processing it?

    • one year ago
  9. jim_thompson5910 Group Title
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    ok I'll start you off let p: The weather is cold q: Meg will go swimming So start off |dw:1355618416718:dw|the truth table to get

    • one year ago
  10. jim_thompson5910 Group Title
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    |dw:1355618482901:dw|

    • one year ago
  11. jim_thompson5910 Group Title
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    |dw:1355618539480:dw|

    • one year ago
  12. jim_thompson5910 Group Title
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    |dw:1355618570286:dw|

    • one year ago
  13. Muzic44 Group Title
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    Could you explain what all that means? O _ O

    • one year ago
  14. jim_thompson5910 Group Title
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    so that's the truth table for ~p -> q which is the translation of "If the weather is not cold, Meg will go swimming."

    • one year ago
  15. jim_thompson5910 Group Title
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    you start off with P and Q and you fill out the first column to be T, T, F, F then you do T, F, T, F for the second column this basically sets up all the possible truth value pairings for P and Q

    • one year ago
  16. Leo-SMI Group Title
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    |dw:1355618581504:dw|

    • one year ago
  17. jim_thompson5910 Group Title
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    then you fill out the ~P column by flipping everything you see in the P column

    • one year ago
  18. Muzic44 Group Title
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    This is probably a stupid question but how come there are 4 in each column?

    • one year ago
  19. jim_thompson5910 Group Title
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    because there are 2^2 = 4 ways to have truth values for P and Q when they pair up

    • one year ago
  20. jim_thompson5910 Group Title
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    TT TF FT FF

    • one year ago
  21. Muzic44 Group Title
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    OH!

    • one year ago
  22. jim_thompson5910 Group Title
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    finally, you fill out the ~P -> Q column by only writing F if ~P is true and Q is false otherwise, its true by default

    • one year ago
  23. Leo-SMI Group Title
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    TT TF FT FF

    • one year ago
  24. Muzic44 Group Title
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    Hold on I kinda forgot the question

    • one year ago
  25. Muzic44 Group Title
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    How do we figure out if its logically equilvalent? Do I just for whichever statement makes sense in that table?

    • one year ago
  26. jim_thompson5910 Group Title
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    make a truth table for the second statement "The weather is cold, or Meg will go swimming"

    • one year ago
  27. jim_thompson5910 Group Title
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    and compare the truth values in the last column

    • one year ago
  28. Sujay Group Title
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    Ya Muzic, that is what I did--something I learned in Geometry.

    • one year ago
  29. Muzic44 Group Title
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    ???

    • one year ago
  30. Muzic44 Group Title
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    how did you guys make that table? IS there like a tool or something?

    • one year ago
  31. jim_thompson5910 Group Title
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    I used the draw feature

    • one year ago
  32. jim_thompson5910 Group Title
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    under the text box is the draw button

    • one year ago
  33. Muzic44 Group Title
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    Oh sorry I'm stupid -_-

    • one year ago
  34. Muzic44 Group Title
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    Okay this is probably wrong but

    • one year ago
  35. jim_thompson5910 Group Title
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    no worries and you're not

    • one year ago