A synopsis of each of these systems will follow. Additional notes on a non-system called Logical Analysis will also be added. Philsophy systems, like other kinds of systems, are composed of interdependent parts. Metaphysics is the theory of the ultimate nature of reality. It is simply a belief held by a person as being the best explanation of what reality is and what it means, in that person's view.
Axiology is the theory of value or worth.
The parts of a philosophic system must be compatible with one another, just as they must be in a computer system. As will be seen, it would be incompatible for a person with, for instance, an Idealistic view of reality to adopt, for instance, a Pragmatic approach to value. The person with an Idealistic worldview believes that reality is basically spirit, rather than matter. For the Idealist, the idea is more real than the thing, since the thing only reflects or represents the idea. Socrates and Plato are perhaps the best known ancient representatives of this view.