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The Epistemological Subject(s) of Mathematics

In: Handbook of the History and Philosophy of Mathematical Practice

Author

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  • Silvia De Toffoli

    (Scuola Universitaria Superiore IUSS Pavia)

Abstract

Paying attention to the inner workings of mathematicians has led to a proliferation of new themes in the philosophy of mathematics. Several of these have to do with epistemology. Philosophers of mathematical practice, however, have not (yet) systematically engaged with general (analytic) epistemology. To be sure, there are some exceptions, but they are few and far between. In this chapter, I offer an explanation of why this might be the case and show how the situation could be remedied. I contend that it is only by conceiving the knowing subject(s) as embodied, fallible, and embedded in a specific context (along the lines of what has been done within social and feminist epistemology) that we can pursue an epistemology of mathematics sensitive to actual mathematical practice. I further suggest that this reconception of the knowing subject(s) does not force us to abandon the traditional framework of epistemology in which knowledge requires justified true belief. It does, however, lead to a fallible conception of mathematical justification that, among other things, makes Gettier cases possible. This shows that topics considered to be far removed from the interests of philosophers of mathematical practice might reveal to be relevant to them.

Suggested Citation

  • Silvia De Toffoli, 2024. "The Epistemological Subject(s) of Mathematics," Springer Books, in: Bharath Sriraman (ed.), Handbook of the History and Philosophy of Mathematical Practice, pages 2879-2904, Springer.
    • Handle: RePEc:spr:sprchp:978-3-031-40846-5_51
    DOI: 10.1007/978-3-031-40846-5_51
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