Smart. Ontologies emphasize hierarchical knowledge structures and semantic relat

Smart.
Ontologies emphasize hierarchical knowledge structures and semantic relations, while algebras focus on operational rules and symbols. I’d need to write something meaningful to show correlations and contrasts, but I see the source of your intuition. Off the top of my head I can see both the natural conflict between them, the overlap when applied to ai, and an opportunity for insight into the grammars of operational prose versus quantities and ratios. Mostly I see that math is a lower dimensional logic that is internally commensurable and natural law is a much higher dimensional logic that must be made commensurable externally. So It may be that those differences describe the specrum sufficiently.