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Bi-conditional question

emilycyoung1emilycyoung1 Free Trial Member
in Logic Games 234 karma
When a problem says: Grace helps move the sofa if but only if Heather helps move the recliner, do I diagram it as: Gs<------>Hr or Hr<---->Gs, or does it matter either way? Also are "if BUT only if" and "if AND only if" diagrammed differently or the same?
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  • quinnxzhangquinnxzhang Member
    edited June 2016 611 karma
    @emilycyoung1 said:
    does it matter either way?
    Nope, both are equivalent.
    @emilycyoung1 said:
    Also are "if BUT only if" and "if AND only if" diagrammed differently or the same?
    The same.
  • MrSamIamMrSamIam Inactive ⭐
    2086 karma
    You can diagram it either way. Think of a biconditional like this: The variables included are both sufficient and necessary conditions. Since you're drawing two arrows, it doesn't matter which variable goes on which end.

    Typically on the LSAT, "and" = "but" and vice versa. This is often true in regard to conditional logic.
    For instance, "I'll go to the store and i'll pick up Jim from school" is equivalent in meaning to "I'll go to the store, but i'll pick up Jim from school"
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