Philosophy of Mathematical Practice — Motivations, Themes and Prospects†

Philosophia Mathematica 27 (1):1-32 (2019)
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Abstract

A number of examples of studies from the field ‘The Philosophy of Mathematical Practice’ (PMP) are given. To characterise this new field, three different strands are identified: an agent-based, a historical, and an epistemological PMP. These differ in how they understand ‘practice’ and which assumptions lie at the core of their investigations. In the last part a general framework, capturing some overall structure of the field, is proposed.

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10.1093/philmat/nkz002

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Citations of this work

Groundwork for a Fallibilist Account of Mathematics.Silvia De Toffoli - 2021 - Philosophical Quarterly 7 (4):823-844.
What are mathematical diagrams?Silvia De Toffoli - 2022 - Synthese 200 (2):1-29.
Who's Afraid of Mathematical Diagrams?Silvia De Toffoli - 2023 - Philosophers' Imprint 23 (1).

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References found in this work

Knowledge and social imagery.David Bloor - 1976 - Chicago: University of Chicago Press.
Mathematical truth.Paul Benacerraf - 1973 - Journal of Philosophy 70 (19):661-679.
What numbers could not be.Paul Benacerraf - 1965 - Philosophical Review 74 (1):47-73.
Knowledge and Social Imagery.David Bloor - 1979 - British Journal for the Philosophy of Science 30 (2):195-199.

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