Hi Rajesh, thanks for sharing these interesting ideas.
1. I don't know much about cognitive science, but I do find it intriguing, so I'll be curious to see how this pans out.
2. Although I'm not sure what you mean by "philosophical category theory," a lot has been written about the philosophical implications of category theory (e.g., see the references in the [SEP entry](https://plato.stanford.edu/entries/category-theory/#3)).