Learning, Topology and Sets

I believe there is a very interesting observation of how the brain processes information. If it is true that we processes the world by making predictions, then these predictions are done in a probabilistic but discreate manner. Specifically: when we are categorizing an element, we always place it in a finit group, and these groups are listed. I do not believe our minds are very good at handling continuos higher order topological spaces, as means of qualifying elements. I believe our minds have a much simpler means of qualification. More akin to fuzzy logic in gategorization. Although topologies are defined as sets.... I love the idea of how geometry and spatial dimensions emerge...