ABSTRACT
‘Integrated Schema for Affective Artificial Cognition’ (ISAAC) is a mathematical model of intelligent agents, which gives rise to a formal theory that could be implemented computationally. Similar to the natural evolutionary context, the schema starts from a simple model of corresponding sensations and reactions. A perception snapshot is structured as a set of world elements that constitutes an environment, a set of connotations that constitutes a collection of discriminations, and a set of behaviors. Mathematical treatments are naturally expected to come up with equations. The equational results of ISAAC are categorical commutative diagrams that state where one formalized mind process is a ‘paraphrase’ of another. Mathematization has, indeed, proven a powerful modeling tool for other scientific domains. In cognitive science, however, the open ended diversity of phenomena that need to be modeled has made it difficult to capture things in a uniform manner.
