It doesn't matter whether they are coins or not. The inequality holds for any collection of objects and any three such properties. In classical world. What are you talking about? You mean the quantum level formulation of it? Good thinking on his part. Because it is proven to hold under very basic assumptions, that most people until then and many people today regard as self-evident. Proven, mathematically, formally, from those assumptions. So if you have a violation of it, you have to discard or modify those assumptions. That's what a proof gives you - it shows you where you must focus your doubts. And they are very basic, intuitively fundamental assumptions. A world in which they are invalid is a world in which human intuition works with great difficulty, one the human mind is not naturally built to handle. ? I have no idea what that question means.