Equations with No Solution

[LSLGuy]

While looking for something else I stumbled on this old thread that might be tangentially useful to the OP.

Any exceptions to either it's "A" or "not A"?

I’ve been told my thinking is more “black and white” than normal… I based some of my reasoning on a principle of logic that says that things are either “A” or “not A”. (I forget the exact details) I wonder if there are any exceptions…? Maybe quantum physics or the world of human emotions? I suspect that I would think that many of those so-called exceptions are just not thought about in the right way…