The spread of hierarchical cycles

Abstract

We propose a relational method to study impredicative systems, which are natural systems that have models containing hierarchical cycles. The method is formulated in category theory in terms of alternate descriptions and their functorial connections. This general theory of impredicative systems has implications in the biological, psychological, and social realms, from which we offer many exemplifications.

Keywords:

• hierarchical cycles
• impredicative systems
• alternate descriptions
• relational methods
• closure to efficient causation
• clef systems