Wiseacre (ewin) wrote,
Wiseacre
ewin

  • Mood:

Malproposition


Malproposition:  Suppose that ~ is a relation on a set A.  If ~ is symmetric and transitive, then ~ is reflexive.

Proof:  Let x,y belong to A.  If x ~ y then y ~ x since ~ is symmetric.  Now, x ~ y and y ~ x and since ~ is transitive, we can conclude x ~ x.  Therefore ~ is reflexive.

Find the flaw in this reasoning.

(This one I succeeded in doing.)
Subscribe
  • Post a new comment

    Error

    default userpic

    Your IP address will be recorded 

    When you submit the form an invisible reCAPTCHA check will be performed.
    You must follow the Privacy Policy and Google Terms of use.
  • 3 comments