Comment #5 on issue 3536 by asmeu...@gmail.com: float NaN is not resolved with other numbers
http://code.google.com/p/sympy/issues/detail?id=3536

I think you just need to modify Float to return the symbolic NaN, make sure the symbolic NaN supports the Float interface (you may need to fiddle with subclassing), and fix any test failures.

The problem with your solution is 1. I'm not convinced that that will solve all the issues, and 2. elements of S have a guarantee that they will work with is comparison, so people will continue to use that, both inside and outside the library.

By the way, are things equally broken with Float('inf') vs. oo?

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