Mathematicians’ Assessments of the Explanatory Value of Proofs

被引：0
|
作者：
Juan Pablo Mejía Ramos
Tanya Evans
Colin Rittberg
Matthew Inglis
机构：
[1] Rutgers University,
[2] University of Auckland,undefined
[3] Loughborough University,undefined
[4] Vrije Universiteit Brussel,undefined
来源：
Axiomathes | 2021年 / 31卷
关键词：
Mathematical Explanation; Proof; Mathematical Practices; Comparative Judgment;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
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页码：575 / 599
页数：24
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