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  1. Signs as a Theme in the Philosophy of Mathematical Practice.David Waszek - 2021 - In Bharath Sriraman (ed.), Handbook of the History and Philosophy of Mathematical Practice. Springer.
    Why study notations, diagrams, or more broadly the variety of nonverbal “representations” or “signs” that are used in mathematical practice? This chapter maps out recent work on the topic by distinguishing three main philosophical motivations for doing so. First, some work (like that on diagrammatic reasoning) studies signs to recover norms of informal or historical mathematical practices that would get lost if the particular signs that these practices rely on were translated away; work in this vein has the potential to (...)
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  • Meditating and Inquiring with Imagination: Leibniz, Lambert, and Kant on the Cognitive Value of Diagrams.Lucia Oliveri - 2024 - History and Philosophy of Logic 45:1-19.
    Reasoning with diagrams is considered to be a peculiar form of reasoning. Diagrams are often associated with imagistic representations conveyed by spatial arrangements of lines, points, figures, or letters that can be manipulated to obtain knowledge on a subject matter. Reasoning with diagrams is not just ‘peculiar’ because reasoners use spatially arranged characters to obtain knowledge – diagrams apparently have cognitive surplus: they enable a quasi-intuitive form of knowledge. The present paper analyses the issue of diagrams’ cognitive value by enquiring (...)
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