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  1. Mathematicians’ Assessments of the Explanatory Value of Proofs.Juan Pablo Mejía Ramos, Tanya Evans, Colin Rittberg & Matthew Inglis - 2021 - Axiomathes 31 (5):575-599.
    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 (...)
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  • Do Mathematicians Agree about Mathematical Beauty?Rentuya Sa, Lara Alcock, Matthew Inglis & Fenner Stanley Tanswell - 2024 - Review of Philosophy and Psychology 15 (1):299-325.
    Mathematicians often conduct aesthetic judgements to evaluate mathematical objects such as equations or proofs. But is there a consensus about which mathematical objects are beautiful? We used a comparative judgement technique to measure aesthetic intuitions among British mathematicians, Chinese mathematicians, and British mathematics undergraduates, with the aim of assessing whether judgements of mathematical beauty are influenced by cultural differences or levels of expertise. We found aesthetic agreement both within and across these demographic groups. We conclude that judgements of mathematical beauty (...)
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