Rey, Philip: Probability without a Process: Three Foundational Concerns about "Sets and Probability"

Horsten and Brickhill (2024) propose two methods for constructing non-Archimedean probability functions on the set-theoretic universe V: the finite snapshot approach and the bootstrapping approach. The mathematical execution is competent and the results within their framework are correct. This note raises three foundational concerns that the paper does not adequately address. First, the proposed sample space — the entire set-theoretic universe V — lacks the probabilistic motivation that real-val