>
> I will reiterate my suggestion to use finite sets for indexing when 
> possible, which sidesteps the question


Whatever the final decision on indexing start will be, I really hope that 
there still will be support for matrices indexed by arbitrary finite sets. 
I'm not sure if this example was mentioned before, but, for example, 
adjacency matrix of a graph can be indexed by graph vertices. It is often 
cumbersome to induce an arbitrary ordering on the vertices, and needless to 
say that many theorems do not require any ordering whatsoever (for 
instance, theorems about eigenvalues of subgraphs/submatrices).

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