Reflection and martingale principles are central to models of rational learning. They can be justified in a variety of ways. In what follows we study martingale and reflection principles in the context of measure theory. We give special attention to two approaches for justifying these principles that have not been studied in that context before: diachronic coherence and the value of information. Together with an extant argument based on expected accuracy, these arguments lend support to the thesis that reflection and martingale principles govern rational learning.

中文翻译：

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广义学习和条件期望

反思和鞅原则是理性学习模型的核心。可以通过多种方式证明它们是合理的。在接下来的内容中，我们在测度理论的背景下研究鞅和反射原理。我们特别关注证明这些原则的两种方法，这些方法以前没有在该背景下研究过：历时连贯性和信息价值。连同基于预期准确性的现存论点，这些论点为反思和鞅原则支配理性学习的论点提供支持。