Systematic use of the notion of self-reference system is suggested to apply in mathematics and physics. We enter notion of quantum self-references, which describe our most general mathematical distinctions, abstractions. We argue that in the nature there are only selfreference systems, that we may distinct properly, and that our natural way of thinking is mathematical.

Abstract This paper investigates the conditions under which diagonal sentences can be taken to constitute paradigmatic cases of self-reference. We put forward well-motivated constraints on operator and coding apparatus separate self-referential sentences, for instance obtained via Gödel’s diagonalization method, from accidental sentences. In particular, we show that these successfully exclude r...

Abstract In his paper on the incompleteness theorems, Gödel seemed to say that a direct way of constructing formula says itself it is unprovable might involve faulty circularity. this note, proved ‘direct’ self-reference can actually be used prove result.