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Math Help - Can subtraction be defined as the inverse function of addition?

  1. #1
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    Can subtraction be defined as the inverse function of addition?

    Can you define adding 1 to be: f(x) = x + 1 and then define subtracting 1 as the inverse function, f^-1(x) ? (Provided you proceed to define addition inductively)
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  2. #2
    Senior Member abhishekkgp's Avatar
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    well since f(x)=x+1 so x=y-1. moreover 'f' is bijective from R to R. so guess you are right.
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    So I guess it could be defined that way but I don't see any advantage over other definitions.
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    Senior Member abhishekkgp's Avatar
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    Quote Originally Posted by lamp23 View Post
    So I guess it could be defined that way but I don't see any advantage over other definitions.
    ya thats a different thing though..
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  5. #5
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    Actually some books do talk about x+1 as being the "sucessor function" so maybe it's helpful to think of the operations as functions instead of separate ideas
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