I am to create a theory of knowledge that can be applied to research. What is a theory? A theory is something that gives us language to describe phenomena. A theory, such as the atomic theory, can be predictive, but such an outcome would only manifest at a high level of the development of a theory. At its early stage of development, such as the one presented herein, a theory is a way to describe something we experience.
Knowledge can be accurately be modeled in both a nodal or a territorial paradigm.
In the nodal model, each atom of knowledge has is connected to a number of other atoms of knowledge through connections. These connections have importance (valance) and a relationality, such as one to one, or one to many. Notions of is a and has a are also natural to this model. atoms of knowledge act on each other through verbal connections.
In the territorial model of knowledge, the structure of unknown knowledge can be derived through known knowledge. Knowledge can either be known territory or unknown territory. The fractal nature of knowledge is natural to this knowledge in that each domain of knowing can be conceived of with an infinite coastline of resolution. In the territorial model of knowledge, we aim towards a predicted location, then, as it comes into higher resolution focus, we are able to see more clearly what our actual ends are and how they differ from our predicted ends and there by either correct or continue our course.
The structure of research can be seen in either of these models of knowledge. There is can be an expansion phase in which new territory or new connections are being made, or a condensing phase, in which nodes are being connected together or territory is being filled in.