Mathematical Experiments on Paper and Computer

Dirk Schlimm () and Juan Fernández González ()
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Dirk Schlimm: McGill University, Department of Philosophy
Juan Fernández González: Harvard University, Graduate School of Design

A chapter in Handbook of the History and Philosophy of Mathematical Practice, 2024, pp 2503-2522 from Springer

Abstract: Abstract We propose a characterization of mathematical experiments in terms of a setup, a process with an outcome, and an interpretation. Using a broad notion of process, this allows us to consider arithmetic calculations and geometric constructions as components of mathematical experiments. Moreover, we argue that mathematical experiments should be considered within a broader context of an experimental research project. Finally, we present a particular case study of the genesis of a geometric construction to illustrate the experimental use of hand drawings and computers in mathematical practice.

Keywords: Mathematical experiments; Geometry; Midpoint paths; Philosophy of mathematics; Diagrams; Computers in mathematics (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-40846-5_112

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DOI: 10.1007/978-3-031-40846-5_112

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