4 comments

  • Tuesday, Apr 11 2017

    I sorta follow. I'm just lost when you make the jump from a conditional to a bi-conditional. I don't quite understand the process there.

    1
  • Tuesday, Apr 11 2017

    @aaronkeegan92975

    Ignoring the distinction between rich/poor and honest/dishonest, you still have:

    Premise: Poor --> Honest

    Conclusion: Rich ---> Dishonest, which can be interpreted as: /poor ---> /Honest

    This isn't a valid conclusion from the premise P --> H, but becomes valid if you add H--->P to make P(------)H. Then, if /P then /H.

    0
  • Tuesday, Apr 11 2017

    @tamakiblake968 I don't think I follow your diagram. I understand that you can't be rich and poor, and be honest and dishonest. I don't get the logical chain you used though. I don't think I've actually ever seen a diagram like that before.

    0
  • Tuesday, Apr 11 2017

    I'll give it a shot.

    "Either" is typically an /A > B relationship. But in this context, I assumed that one cannot be both "honest and dishonest" or both "rich and poor." Under this interpretation, it becomes two biconditionals:

    /poor (---) rich

    /honest (---)dishonest

    Resulting in a chain that looks like this, with the red arrow being the sufficient assumption that validates the conclusion (reading right to left):

    http://i.imgur.com/2iRVTrP.png

    1

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