Mathematics

• Mathematical Programming - some generalizations of linear programming
  • Duality
  • Variational Inequality?
  • Nonlinear Programming?
  • Mixed Complementarity?
  • Conclusion? -- implications of mathematical programming
  • Bibliography - sources on mathematical programming
• Periodic Geometry -- an attempt to forge a variant of projective geometry which will allow the periodic table to be seen as a periodic plane (the correlate of an affine plane).
• The Goedel Connection -- an attempt to develop Goedel's metamathematics in such a way as to explain the periodic nature of emergence and The Pattern.
• The Emergence of Everything -- in his book, Harold J. Morowitz suggests the Pauli Exclusion principle (or other non-dynamic pruning rules) as the source of emergence.
• Sync -- Steven Strogatz takes a highly unusual approach, using an example of emergence not often even considered as the paradigmatic case in his book, <i>Sync: The Emerging Science of Spontaneous Order</i>.

— Scotus - 09 Dec 2000