Diagrammatic Proofs in Mathematics: (Almost) 20 Years of Research

Valeria Giardino ()
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Valeria Giardino: Institut Jean Nicod, Chargée de Recherche/Research Fellow (CRCN) Centre National de la Recherche Scientifique

A chapter in Handbook of the History and Philosophy of Mathematical Practice, 2024, pp 2045-2067 from Springer

Abstract: Abstract The objective of this chapter is to introduce some of the views that have been put forward in almost 20 years of research on diagrammatic proofs in the philosophy of mathematical practice. In Sect. 1, some contextual elements will be presented on the reasons why diagrammatic proofs have attracted so much philosophical attention in the past years. In Sect. 2, the “first wave” in the research on diagrammatic proofs based on the analysis of case studies will be described: this is how it started. In Sect. 3, the “second wave,” which is calling for “big pictures” and divides into two different strategies, will be discussed: this is where it is going. In Sect. 4, some conclusions will be drawn.

Keywords: Diagrammatic proofs; Greek (Euclidean) geometry; Enhanced manipulative imagination; Fruitful representations; Informal and formal proofs (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/978-3-031-40846-5_46

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