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If A then B and C rewritten as if A and B then C??

weilucas37weilucas37 Live Member
edited May 7 in Logical Reasoning 11 karma

I swear I remember learning in one of the lessons that the lawgic if A then B and C can be rewritten as if A and B then C and vise versa but I can't find that lesson anywhere and am not sure if I just made that rule up in my head. Is this lawgic logical?

Comments

  • adamremtullaadamremtulla Core Member
    17 karma

    I don't think those two statements are equivalent.

    In the first statement, A, by itself, "leads" to B and C.
    In this case, we would say A is sufficient for C.

    In the second statement, A by itself does not lead to C; A must be accompanied by B.
    In this case, A is not sufficient for C.

  • cafetero23cafetero23 Live Member
    91 karma

    I think you are confused with:

    A-->B--->C 
    

    This would make it : A+B -->C

    The one you wrote is A--> B and C. If A happens than so does B and C. There is nothing in your formula that indicates that B triggers C. It could be the case that B happens but not C if we look at the CP - which is if not B or C than not A.

  • jilliankirklandjilliankirkland Live Member
    79 karma

    Check out this thread- they posted cheat sheets with valid and invalid arguments that might be helpful

    https://7sage.com/discussion/#/discussion/32892/cheatsheet-for-valid-argument-forms-1-9

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