FOM: re: Axiom of Extensionality

Matthew Frank mfrank at math.uchicago.edu
Mon May 20 17:46:36 EDT 2002


> Dean Buckner wrote, on 17 May 2002:
> 
> `` What is this axiom?  Does it say that a set A is the same as set B iff
> they have the same members?''

One illuminating set-theoretic formulation is:

forall x,y
  (forall w)(w in x iff w in y)
  iff
  (forall z)(x in z iff y in z)

--Matt





More information about the FOM mailing list