Mathematics in Philosophy, Philosophy in Mathematics: Three Case Studies

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Objectivity, Realism, and Proof

Part of the book series: Boston Studies in the Philosophy and History of Science ((BSPS,volume 318))

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Abstract

The interaction between philosophy and mathematics has a long and well articulated history. The purpose of this note is to sketch three historical case studies that highlight and further illustrate some details concerning the relationship between the two: the interplay between mathematical and philosophical methods in ancient Greek thought; vagueness and the relation between mathematical logic and ordinary language; and the study of the notion of continuity.

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Correspondence to Stewart Shapiro .

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Shapiro, S. (2016). Mathematics in Philosophy, Philosophy in Mathematics: Three Case Studies. In: Boccuni, F., Sereni, A. (eds) Objectivity, Realism, and Proof . Boston Studies in the Philosophy and History of Science, vol 318. Springer, Cham. https://doi.org/10.1007/978-3-319-31644-4_1

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