The literature on mathematical explanation contains numerous examples of explanatory, and not so explanatory proofs. In this paper we report results of an empirical study aimed at investigating mathematicians’ notion of explanatoriness, and its relationship to accounts of mathematical explanation. Using a Comparative Judgement approach, we asked 38 mathematicians to assess the explanatory value of several proofs of the same proposition. We found an extremely high level of agreement among mathematicians, and some inconsistencies between their assessments and claims in the literature regarding the explanatoriness of certain types of proofs.

中文翻译：

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数学家对证明的解释价值的评估

关于数学解释的文献包含许多解释性示例，而并非如此。在本文中，我们报告了一项旨在研究数学家的解释性概念及其与数学解释的关系的实证研究的结果。我们使用比较判断方法，要求38位数学家评估同一命题的多个证明的解释价值。我们发现数学家之间的共识程度很高，并且在文献中关于某些类型的证明的解释性方面，他们的评估与主张之间存在一些不一致之处。