The axiomatic interface

Abstract

Axioms are not arbitrary conventions — they are projections of the Logic of Identity, the axiomatic source from which all formal systems emerge. This paper explores how formal systems touch the ground through axioms, how they remain open, and how they are recognized as coherent projections of 00. The Logic of Identity (I= I) is the self-referential seed that grounds all formal systems. The Category Error Detector (CED) validates the framework with 0/5 errors.