Conceptual system

A conceptual system is simply a model. There is no limitations on this kind of model whatsoever except those of human imagination. If there is an experimentally verified correspondence between a conceptual system and a physical system then that conceptual system models the physical system. "values, ideas, and beliefs that make up every persons view of the world": that is a model of the world; a conceptual system that is a model of a physical system (the world). The person who has that model is a physical system.

In psychology and social work, when they talk about a conceptual system, they are referring to some person's model of the world, but if they try to understand that model, they end up making a model of that model, which is just a model of the person's behavior. In any case, this is exactly the purpose of the general term "conceptual systems".