Abstract
The study of complex systems through the lens of category theory consistently proves to be a powerful approach. We propose that cognition deserves the same category-theoretic treatment. We show that by considering a highly-compact cognitive system, there are fundamental physical trade-offs resulting in a utility problem. We then examine how to do this systematically, and propose some requirements for “cognitive categories”, before investigating the phenomenona of topological defects in gauge fields over conceptual spaces.
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Notes
- 1.
These experiences may allow generalisation of existing information and thus discarding of the individual cases; but over time, there will be a point where generalisations can’t be reasonably made.
- 2.
It is ill-advised to become a black hole, if only to be able to affect the external environment in a reasonable manner (but see [1]).
- 3.
This almost certainly depends on the conceptual space and gauge field involved.
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Taylor, S.A., Tran, S.C., Nicolau, D.V. (2021). Taking Cognition Seriously. In: Nakano, T. (eds) Bio-Inspired Information and Communications Technologies. BICT 2021. Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, vol 403. Springer, Cham. https://doi.org/10.1007/978-3-030-92163-7_19
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