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Mathematical Experiments on Paper and Computer

In: Handbook of the History and Philosophy of Mathematical Practice

Author

Listed:
  • Dirk Schlimm

    (McGill University, Department of Philosophy)

  • Juan Fernández González

    (Harvard University, Graduate School of Design)

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.

Suggested Citation

  • Dirk Schlimm & Juan Fernández González, 2024. "Mathematical Experiments on Paper and Computer," Springer Books, in: Bharath Sriraman (ed.), Handbook of the History and Philosophy of Mathematical Practice, pages 2503-2522, Springer.
    • Handle: RePEc:spr:sprchp:978-3-031-40846-5_112
    DOI: 10.1007/978-3-031-40846-5_112
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