Relationships between concepts are tensors, concepts are defined by their relationships to adjacent concepts, the conceptual universe is a directed spatial graph with low local and high global dimensionality, traversing the paths between any two concept yields mutual information.
It is sufficient to know the direction of the input parameter locations to sort them in the function implemented by the concept. You get the types by the specific way in which a value affects a concept, which depend on other parameters.
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You don't really need nodes at all. Identity is just an arrow to self. Anyway, shape is all that matters. See homology functors.
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