On the strangeness of quantum probabilities

TL;DR

This paper explores how undecidability influences probability theory, proposing a philosophical approach that aligns with quantum mechanics principles to address the measurement problem.

Contribution

It demonstrates how undecidability can fundamentally alter classical probability, providing a new perspective on the foundations of quantum mechanics.

Findings

Undecidability leads to modifications in classical probability theory.

The proposed approach aligns with quantum mechanics principles.

Addresses the quantum measurement problem through philosophical insights.

Abstract

Here we continue with the ideas expressed in "On the strangeness of quantum mechanics" aiming to demonstrate more concretely how this philosophical outlook might be used as a key for resolving the measurement problem. We will address in detail the problem of determining how the concept of undecidability leads to substantial changes to classical theory of probability by showing how such changes produce a theory that coincides with the principles underlying quantum mechanics.