Philosophia Mathematica. forthcomingAccording to the realist or ‘non-eliminative’ renderings of mathematical structuralism, mathematical objects are merely positions in structures, ontologically dependent on the structure to which they belong. The purely structural character of mathematical objects leads to various treatments of identity statements linking positions from distinct structures, such as ‘the natural number 2 is identical to the real number 2’. I develop a novel, Aristotelian (in r

