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Experiments in Mathematics: Fact, Fiction, or the Future?

In: Handbook of the History and Philosophy of Mathematical Practice

Author

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  • Jean Paul Van Bendegem

    (Vrije Universiteit Brussel, Center for Logic and Philosophy of Science)

Abstract

In this chapter, the possibility of experiments in mathematics is examined. A general scheme is proposed as a tool to handle the different forms of experiments that are being used in mathematical practices: computations, “experimental mathematics” as a new research domain in mathematics and computer science, real-world experiments, and thought experiments. In a final section, extensions of the scheme are proposed that further support the conclusion that mathematical experiments are indeed facts and the future.

Suggested Citation

  • Jean Paul Van Bendegem, 2024. "Experiments in Mathematics: Fact, Fiction, or the Future?," Springer Books, in: Bharath Sriraman (ed.), Handbook of the History and Philosophy of Mathematical Practice, pages 2821-2846, Springer.
    • Handle: RePEc:spr:sprchp:978-3-031-40846-5_32
    DOI: 10.1007/978-3-031-40846-5_32
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