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  1. The Role of Notations in Mathematics.Carlo Cellucci - 2020 - Philosophia 48 (4):1397-1412.
    The terms of a mathematical problem become precise and concise if they are expressed in an appropriate notation, therefore notations are useful to mathematics. But are notations only useful, or also essential? According to prevailing view, they are not essential. Contrary to this view, this paper argues that notations are essential to mathematics, because they may play a crucial role in mathematical discovery. Specifically, since notations may consist of symbolic notations, diagrammatic notations, or a mix of symbolic and diagrammatic notations, (...)
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  • Definition: A practical guide to constructing and evaluating definitions of terms.David Hitchcock - 2021 - Windsor, ON: Windsor Studies in Argumentation.
    This book proposes guidelines for constructing and evaluating definitions of terms, i.e. words or phrases of general application. The guidelines extend to adoption of nomenclature. The book is meant to be a practical guide for people who find themselves in their daily lives or their employment producing or evaluating definitions of terms. It can be consulted rather than being read through. The book’s theoretical framework is a distinction, due to Robert H. Ennis, of three dimensions of definitions: the act of (...)
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  • John Corcoran.José M. Sagüillo, Michael Scanlan & Stewart Shapiro - 2021 - History and Philosophy of Logic 42 (3):201-223.
    We present a memorial summary of the professional life and contributions to logic of John Corcoran. We also provide a full list of his many publications.Courtesy of Lynn Corcoran.
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  • 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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