ON THE TRUTH-CONVERGENCE OF OPEN-MINDED BAYESIANISM. Issue 1 (22nd March 2022)

• Record Type: Journal Article
• Authors: STERKENBURG, TOM F.; DE HEIDE, RIANNE
• Is Part Of: Review of symbolic logic. Volume 15:Issue 1(2022)
• Page Start: 64
• Page End: 100
• Publication Date: 2022-03-22
• Subjects: 62A01; inductive logic -- Bayesianism -- truth-convergence; Logic, Symbolic and mathematical -- Periodicals; 511.3
• DOI: 10.1017/S1755020321000022
• Languages: English
• ISSNs: 1755-0203

Abstract

Abstract: Wenmackers and Romeijn [38] formalize ideas going back to Shimony [33] and Putnam [28] into an open-minded Bayesian inductive logic, that can dynamically incorporate statistical hypotheses proposed in the course of the learning process. In this paper, we show that Wenmackers and Romeijn's proposal does not preserve the classical Bayesian consistency guarantee of merger with the true hypothesis. We diagnose the problem, and offer a forward-looking open-minded Bayesians that does preserve a version of this guarantee.