Contra Bellum: Bell's Theorem as a Confusion of Languages

Abstract

Bell's theorem is a conflict of mathematical predictions formulated within an infinite hierarchy of mathematical models. Inequalities formulated at level k ∈ Z are violated by probabilities at level k + 1. We are inclined to think that k = 0 corresponds to the classical world, while k = 1 - to the quantum one. However, as the k = 0 inequalities are violated by k = 1 probabilities, the same relation holds between k = 1 inequalities violated by k = 2 probabilities, k = −1 inequalities violated by k = 0 probabilities, and so forth. By accepting the logic of the Bell theorem, can we prove by induction that nothing exists?