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What is dialectical philosophy of mathematics?
Philosophia Mathematica 9 (2):212-229 (2001)
Abstract
The late Imre Lakatos once hoped to found a school of dialectical philosophy of mathematics. The aim of this paper is to ask what that might possibly mean. But Lakatos's philosophy has serious shortcomings. The paper elaborates a conception of dialectical philosophy of mathematics that repairs these defects and considers the work of three philosophers who in some measure fit the description: Yehuda Rav, Mary Leng and David Corfield.Author's Profile
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Citations of this work
Philosophy of Mathematical Practice — Motivations, Themes and Prospects†.Jessica Carter - 2019 - Philosophia Mathematica 27 (1):1-32.
Justifying definitions in mathematics—going beyond Lakatos.Charlotte Werndl - 2009 - Philosophia Mathematica 17 (3):313-340.
A Critique of a Formalist-Mechanist Version of the Justification of Arguments in Mathematicians' Proof Practices.Yehuda Rav - 2007 - Philosophia Mathematica 15 (3):291-320.
Social constructivism in mathematics? The promise and shortcomings of Julian Cole’s institutional account.Jenni Rytilä - 2021 - Synthese 199 (3-4):11517-11540.
Rejection, Disagreement, Controversy and Acceptance in Mathematical Practice: Episodes in the Social Construction of Infinity.Paul Ernest - 2023 - Global Philosophy 33 (1):1-22.
References found in this work
Phenomenology of Spirit.G. W. F. Hegel & A. V. Miller - 1807 - International Journal for Philosophy of Religion 10 (4):268-271.
Knowledge and Social Imagery.David Bloor - 1979 - British Journal for the Philosophy of Science 30 (2):195-199.
Platonism and Anti-Platonism in Mathematics.Mark Balaguer - 1998 - Bulletin of Symbolic Logic 8 (4):516-518.
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