Transdisciplinary Perspectives of Parity Logic

Abstract

The material of the preceeding chapters represents only a small part of the field of parity logic. Chapter 2 on the mathematical foundations, and chapter 3 on binary signal analysis provided deeper insights into the more formal foundations, whereas chapter 4 on modeling perception and action was less formally inclined, but not at all the less aspiring. Chapter 5 on parity feedback machines uncovered the smooth transition from genitons to paritons and fanions for the truly trans-disciplinary research domain of excitable media. The role of parity feedback machines will be treated furthermore in chapter 9 on the foundations of evolutionary computing, and in chapter 10 on autogenetic algorithms as a tribute to ad hoc free evolutionary computation. The purpose of the present chapter is to discuss several transdisciplinary perspectives of parity logic, and finally some perspectives of applied parity logic. This is presumably best achieved by outlining the scope of parity integration, because it provides simultaneously a variety of facts, ideas, insights, examples, and objectives which may animate fruitful discussions of parity logic among readers. So, what exactly is the scope of parity integration, what can we expect from the operator ⊕ ⁿ _i =1 x _i ∈ x ∈ B _n ?