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.

中文翻译：

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论开放的贝叶斯主义的真理收敛

Wenmacers 和 Romeijn [38] 将 Shimony [33] 和 Putnam [28] 的想法形式化为开放的贝叶斯归纳逻辑，可以动态地结合在学习过程中提出的统计假设。在本文中，我们表明 Wenmacers 和 Romeijn 的提议没有保留与真实假设合并的经典贝叶斯一致性保证。我们诊断问题，并提供具有前瞻性、思想开放的贝叶斯算法，它确实保留了此保证的一个版本。