“The self-referential qualities of consciousness place it outside conventional logic(s) upon which scientific models and frameworks have heretofore been constructed. However more contemporary mathematical development has begun to deal with features of self-reference. We shall address Schrödinger’s critique by assembling and extending such development thereby putting self-reference as a form of awareness into theory. In this way we shall frame mathematical foundations for a theory of consciousness.” (from Mathematical Foundations of Consciousnes)
As I said, my math is weak, so I am not appreciating it, but to me this paper came across as a bunch of fancy mathematics with only peripheral thinking about consciousness.