Neuroeconomics just evaluates the option valuation rather than
  making the assumption that humans are rational. I have found
  that paradox often disolves at higher levels of complexity. For
  example, notice Schrodinger's Cat. It's a paradox with the human
  conception of boolean valued truth. When we view Schrodinger's
  Cat with real-valued truth [0, 1], then we can see that the
  truth is '.5'. With greater complexity and understanding, the
  paradox was no longer a paradox.

  Interesting that you brought up P vs NP. That's one that I want
  to work on more. It has been some time since I looked at that
  problem though. As for the encryption, we already have that kind
  of bullying going on today. It makes for an interesting thoughts
  on how we have to protect those who are intelligent from thugs
  taking them hostage and extorting them. There is intent and
  purpose to law. Unfortunately, many people want everybody else
  to play by their rules rather than have system rules we all work
  with.

  It's interesting how you identify the common trends with the
  *real vs theory* and such. It shows the human pattern of
  splitting that is so common. Also, the *brain-in-a-vat* (aka
  solipsism) pattern of behavior can be done away with as well.
  Now that you mention it, that might be a fun project, a
  systematic model of the connection between the natural (physical
  and biological) and human axiomatic systems.

  I like what you said *ecological perspective on mathematics that
  *also* incorporates axioms and proofs as standing ON TOP OF our
  status as humans and respecting our differeing perspectives,
  would ultimately be a much more powerful mathematics than
  currently exists today.* That is something we can work on
  together.