Why x=x ? This is basic biology. Identity is not a universal concept. Mammals (In our case) evolved to understand ourselves and other things as individuals. Babies take a long time to develop the awareness that they are themselves. This self-awareness is represented by the the mathematical equation: x=x. No, we cannot deduce this truth, but it remains simply because other accurate mathematical representations of the world are based in it. In other words, as a model of our world, x=x works whether or not you can wrap your mind around it.