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.
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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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