Science of Knowing (Cognitive Science)
The thesis is that the explicit adequate development of the science of knowing will require the use of the mathematical theory of categories. Even within mathematical experience, only that theory has approximated a particular model of the general, sufficient as a foundation for a general account of all particulars.
Category theory provides a guide to the complex, but very non-arbitrary constructions of concepts and their interactions which grow out of the study of any serious object of study.
F. William Lawvere (1994). Tools for the Advancement of Objective Logic: Closed Categories and Toposes, J. Macnamara & G. E. Reyes (Eds). The Logical Foundations of Cognition, Oxford University Press, 43-56.