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Or Both, not Both

arabprodigy30arabprodigy30 Alum Member
in General 243 karma
If Jays, Martins, or both are in the forest then so are Harriers.


If J--> H
If M -> H , according to JY we should split when "or" is in the sufficient .


So what would the contro-positive be?


If not H-> not J?
If not H -> not M?


or would it be If not H -> not J and M ??

or is it if not H -> not J or M ?


Another question ....

But not both , or

Alan or Chris goes to park, but not both


If not A <-> C
If not C <-> A


so for not both, do we always just pick one throw it on either side of arrow and negate it?


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Comments

  • alexroark5alexroark5 Alum Member Inactive ⭐
    edited March 2015 812 karma
    for the first one you should have:

    J
    (two arrows, one from J, one from M) that both point to H
    M

    for the second,

    this is correct, it is a biconditional. however be careful, "or but not both" is NOT the same as "not both"
  • emli1000emli1000 Alum Member Inactive ⭐
    edited March 2015 3462 karma
    but not both = bi-conditional always apart
  • emli1000emli1000 Alum Member Inactive ⭐
    3462 karma
    Or in the sufficient - split
    And in the sufficient- don't split

    And in the necessary-split
    Or in the necessary-don't split

    These rules are for the in/out games
  • arabprodigy30arabprodigy30 Alum Member
    243 karma
    @emli1000 , oh okay makes sense ! thank you both for responding



  • arabprodigy30arabprodigy30 Alum Member
    243 karma
    @emli1000

    Or in the sufficient - split
    And in the sufficient- don't split

    And in the necessary-split
    Or in the necessary-don't split so this does not apply to any other games except in /out games ?


    "But not both" , and " not both" @alexroark5 mentioned they are not same. Can you please help me understand how they are not same ?


    ex:

    You will eat apples or oranges but not both

    A <-> not O (double arrow)

    You will eat apples or oranges , not both


    A-> not O
    O->not A


    How are they different ?
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