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RE: Are you sure one plus one equals two?
It's kind of like Euclid's parallel postulate (essentially three interior angles of a triangle sum to 180 degrees) and how if you play with it, you can go from Euclidean geometry to spherical or hyperbolic geometry. Also, Bertrand Russel really got into trying to prove these foundations of math in the Principia Mathematica. I believe he didn't prove 1+1=2 until page 379. Even then people like Kurt Goedel founds holes in the logic that was set forth in the Principia with his incompleteness theorem. Thinking differently about math and science can lead to great discoveries
I think it is important to keep in mind as we speak to each other as well. We all have different minds. We can easily be trapped into thinking someone's mind is similar to ours and assuming they think the same way. That often leads to conflict and issues, when all that is necessary is to acknowledge different contextual settings and try to find the one that people wish to talk about and make certain that context is known by all participants before trying to speak of TRUTHS. Without context some truths in some circumstances will not make sense and it'll just be a mess of a discussion.
Easier said than done though. ;) Things truly worth doing though are often not easy.