Comment #15 on issue 1798 by ellisonbg.net: Refactoring Basic
http://code.google.com/p/sympy/issues/detail?id=1798

Initially I didn't like this idea of splitting Basic into Basic+Expr, but after looking more I think it is a good idea. In addition to removing the circular dependencies, it also clarifies that Basic doesn't do math, but Expr does.

However, if we take seriously the idea that "Basic doesn't do math" I think the following methods should be
moved to Expr as well:

__lt__, __gt__, __le__, __ge__ => currently these represent mathematical inequalities, move to Expr

__eq__, __ne__ => leave in Basic as they represent primitive object equality NOT math

is_hypergeometric: seems pretty math-ish. Will this go away once the new assumptions are in place?
has_piecewise: same
as_poly: all the other as_foo methods are in Expr, why not this?

Cheers and great work!

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