This is a talk Klee Irwin gave to the QGR staff titled Not Exactly First Principles.
Emergence theory is based on the principle of language, as explained in the paper, The Code-theoretic Axiom. Although, quasicrystals are perhaps the only example of a language that is non-invented and based on mathematical first principles, the programs or add on rules that can be placed on the fundamental code that tells you how to order two or more syntactically legal quasicrystals involve rules that are not implied by mathematical first principles.
