Mobius and paradox: On the abstract structure of boundary events in semiotic systems

This paper explores the mechanism that constitutes the boundary of semiotic systems. I argue that the metric and topological notions of the boundary are irrelevant to a semiotic inquiry, and that one should adopt an ecological perspective on the boundary in order to understand the realm of meaning-making systems. The main argument of this paper is that the boundary of semiotic systems has quasi-screw symmetry and is a paradoxical event composed of two basic transformations. The paper concludes by pointing to paradoxes as a quintessential aspect of semiotic systems in general and natural language in particular.