The Goedel Connection

StillFlame? and Stuart Kauffman have convinced me (perhaps unintentionally) that Kurt Goedel's metamathematics provide a better chance to mathematize the reasons why The Pattern works than periodic geometry.

I believe StillFlame's further investigation of this connection involves two steps:

• Proving Goedel's conclusions necessarily apply to emergent phenomena; and
• Deriving interesting conclusions about emergent phenomena from metamathematical investigations. Some possibly interesting possible conclusions include:
  • the periodic nature of emergent systems
  • Kauffman's four {candidate laws for co-evolving systems}
  • the basis for a new projective geometry which would be useful in looking at emergent systems
  • some derivation of visual representations of the emergent networks that looks like mocha stone?

See also Math and Investigations.

— Scotus - 20 Apr 2002