Yes, this is the idea behind issue 1941, which is very often brought
up, but it's very hard.

Aaron Meurer

On Mon, Jul 22, 2013 at 3:47 PM, Stefan Krastanov
<[email protected]> wrote:
> They _could_ be rewritten, but it is always easier to start from scratch,
> mainly because of all the assumptions that were silently admitted when
> writing any of these.
>
> Add and Mul were sufficient for the vectors, forms and multiforms in
> `diffgeom`, but there are still corner cases causing bizarre results there.
>
> However they proved to have too many assumptions for the matrix expressions
> submodule, so Matthew Rocklin wrote new simpler, more modular containers
> (MatAdd and MatMul). Hopefully in the distant future Add and Mul will be
> refactored so they are just as simple.
>
> Concerning the other containers, I think that it is not clear whether they
> are really necessary.
>
> An argument against what I have said and in favor of the existence of
> various containers, is that the paradigms followed by Mathematica (rewrite
> rules, functional programing, lisp-like expressions) is different from that
> of python (object oriented programing), so following the example of
> Mathematica is not obviously correct. I do not consider this a very strong
> or well articulated argument.
>
> One can also start talking about type systems but 1) Mathematica does not
> have one; 2) Python's one is not strict; 3) SymPy's ad-hoc type system is a
> mess. Hence, I do not think that any immediate conclusions can be reached
> from this line of thought.
>
>
> On 22 July 2013 21:16, F. B. <[email protected]> wrote:
>>
>> Wolfram Mathematica has Plus and Times which are used for every expression
>> overloading the "+" and " " operators.
>>
>> I see here that SymPy has Mul, Add, MatMul, MatAdd, VectMul, VectAdd,
>> TensMul, TensAdd, and so on...
>>
>> Do we really need all these ones? Couldn't Mul and Add be rewritten in
>> such a way as to correctly handle all those cases?
>>
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>
>
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