Knowledge representation may be constructed as an attempt to formally capture and describe human sensory and perceptual data. But is knowledge representation via ontologies etc., anything more than the application of logic and mathematics?
Logic and a wee bit of mathematics (set theory) dominate knowledge representation in
Article The Handbook of Knowledge Representation
Mathematics has more importance in knowledge representation in
Article Knowledge representation, reasoning, and the design of intel...
More to the point, it is apparent that knowledge representation is not merely an application of logic and mathematics. Instead, logic and mathematics provide a concise language as a means of expressing knowledge, which is something quite different from logic and mathematics.
Knowledge as a stable and lasting structure of truth is constructed using the fibers of logic and facts of reality or reason, which is the kernel of the functioning of mathematics and its purpose.
Knowledge that is devoid of mathematical machinery is devoid of truth, unstable and eventually collapsable.
Lawvere applied a similar question to yours to mathematics in this paper:
Lawvere, F. W. (1966). The category of categories as a foundation for mathematics. In Proceedings of the conference on categorical algebra (pp. 1-20). Springer, Berlin, Heidelberg.
Logic and a wee bit of mathematics (set theory) dominate knowledge representation in
Article The Handbook of Knowledge Representation
Mathematics has more importance in knowledge representation in
Article Knowledge representation, reasoning, and the design of intel...
More to the point, it is apparent that knowledge representation is not merely an application of logic and mathematics. Instead, logic and mathematics provide a concise language as a means of expressing knowledge, which is something quite different from logic and mathematics.