> Thanks Jeroen and David for your answer and explanations. It's true that 
> OOP with deep hierarchy is not the only possible approach. For instance, 
> there is also the paradigm of component aggregation, see e.g.
> http://cowboyprogramming.com/2007/01/05/evolve-your-heirachy/
> Maybe the latter is closer (at least in spirit) to the category framework 
> in Sage. 
>
> I don't quite think so as we still have a hierarchy setup through the 
category framework, and we are just adding that hierarchy into the class 
MRO at runtime. Although the axiom approach does have this sort of flavor 
to it. (BTW, that was an interesting article.)

However, I'm +1 for flatting things down to Element as it would probably 
solve #15160 <http://trac.sagemath.org/ticket/15160> and #15947 
<http://trac.sagemath.org/ticket/15947>.

Best,
Travis

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