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Mathematical Explanation in Practice

Axiomathes 31 (5):553-574 (2021)

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  1. Definitions in practice: An interview study.V. J. W. Coumans & L. Consoli - 2023 - Synthese 202 (1):1-32.
    In the philosophy of mathematical practice, the aim is to understand the various aspects of this practice. Even though definitions are a central element of mathematical practice, the study of this aspect of mathematical practice is still in its infancy. In particular, there is little empirical evidence to substantiate claims about definitions in practice. In this article, we address this gap by reporting on an empirical investigation on how mathematicians create definitions and which roles and properties they attribute to them. (...)
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