The set of all sets must be.. Oh what's the fancy word.... A
  holomorphism? I don't remember. I'm at my phone now. The set of
  all sets must contain both the complete and the incomplete set
  making it both complete and incomplete. Having a paradox as rule
  1 is required for the system to function. = Axiomic systems
  always result in failure because their basis is that of axiom
  and proof. There in a constant dance with each other but they
  are not self generating. They also ignore the source of the
  axiom: us. There's 3 parts: axiom proof and us. The belief that
  it exists in its own platonic realm separate from reality is the
  main cause of the issue. It doesn't invalidate it by any means.
  Just points to limitations of the system, like any system has.
  == (Edit: wrote this before your last response) I once worked on
  a ternary logic system *. I prototyped it in Excel, my main
  scratchpad - and look for solutions for the uncertainties that
  were practical and pragmatic in nature, to compensate for the
  areas that the system fails. There's a similar issue in computer
  engineering * I believe it's called a race condition. I've seen
  it happen * especially with video cards. A calculation reaches a
  race condition - VERY common on video cards with built in matrix
  transforms * because fundamentally, you're attempting to squeeze
  three-dimensional calculations into a two-dimensional space.
  It's going to run into problems and it does. When it does, the
  chips get hot, the Solder melts, and the video card is
  destroyed. All from a calculation that couldn't be resolved ==
  Thing is, I'm a commoner. Consider it this way: You understood I
  was using the terms differently than you did. That means: You
  understood me. For me, communication is about being understood
  and understanding. If you were grading a paper, you could justly
  fail me but, I've been out of school a very very very long time
  now tongue emoticon Cheers and I'll be here if you wish to
  unpause smile emoticon ==