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Conditional LG rule with subset features

SkywalkerSkywalker Alum Member
edited July 2016 in General 214 karma
Dear All,

I am getting confused on what the contrapositive is for conditional rules in LG that have a subset feature.

For example, if you a grouping game, and there are 3 groups (A, B, C) and the rule states, if P is not in A, then H is not in A. What is the contrapositive of that?




Comments

  • BinghamtonDaveBinghamtonDave Yearly Member 🍌🍌
    8668 karma
    The rule is saying that the absence of P in group a implies the absence of H in group a. Contrapositive of this is H(subscript a)------>P(subscript a). What this means in plain English (and the way I tell myself when I am reading) is that if H is in group a then there better be a P in group a. P in group a is the necessary condition for H in group a. So if you have a scenario in which H ends up in group a and P ends up in group c, you have violated this condition. If you have a scenario where P is in group a, H can either go into a or go somewhere else (assuming no other rules restrict H's whereabouts.)


    Hope this helps.
  • SkywalkerSkywalker Alum Member
    214 karma
    Thank you!!!!
  • BinghamtonDaveBinghamtonDave Yearly Member 🍌🍌
    edited July 2016 8668 karma
    Because I like your username so much, I drew this out for you a bit more visually. :)

    Fixing link to picture*
  • BinghamtonDaveBinghamtonDave Yearly Member 🍌🍌
    edited July 2016 8668 karma
    image
  • inactiveinactive Alum Member
    12637 karma
    Fixed your link, David! You can't link images directly from your computer, they need to be uploaded to an image hosting site.
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