@Joachim: I really do not understand what are you talking about. As of
this moment the solvers in sympy do indeed require you to set your
assumptions if you wish solve(x**2-1) to return only +1 and
solve(x**2+1) to return None. It would be awful if sympy starts
guessing what assumptions the user wants. Every single CAS I know is
very explicit about this as it should be.

Moreover, my inquiry is not at all concerned with this question. It is
whether solve(x+1) should return [-1] or -1. Even if the abuse of
notation of set_of_one_element = the_element_itself is as widely used
as you suggest (I do not think so) it is not an abuse of notation that
is so important to be supported in a CAS. Your comparison with
Principia Mathematica is extreme and I do not think that it is valid.

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