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Structuralism as a philosophy of mathematical practice
SynthÈse, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jessica Carter
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Philosophy of mathematical practice: a primer for mathematics educators
ZDM, 2020 In recent years, philosophical work directly concerned with the practice of mathematics has intensified, giving rise to a movement known as the philosophy of mathematical practice. In this paper we offer a survey of this movement aimed at mathematics educators.
Hamami, Yacin, Morris, Rebecca Lea
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Mathematical problem-solving in scientific practice [PDF]
SynthÈse, 2021 In this paper I study the activity of mathematical problem-solving in scientific practice, focussing on enquiries in mathematical social science. I identify three salient phases of mathematical problem-solving and adopt them as a reference frame to ...
Davide Rizza, Rizza Davide
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Experimental Mathematics in Mathematical Practice
2023This chapter presents an overview of the contributions to the section on Experimental Mathematics by focusing in particular on how they characterize the phenomenon of “experimental mathematics” and its origins. The second part presents two case studies illustrating how experimental mathematics is understood in contemporary analysis.
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Mathematics Education Research on Mathematical Practice
, 2021 In the mathematics education research literature, there is a growing body of scholarship on how mathematicians practice their craft. The purpose of this chapter is to survey some of this literature and explain how it can contribute to the philosophy of ...
Keith Weber, Matthew Inglis
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Ontology and Mathematical Practice†
Philosophia Mathematica, 2004Summary: In this paper I propose a position in the ontology of mathematics which is inspired mainly by a case study in the mathematical discipline if-theory. The main theses of this position are that mathematical objects are introduced by mathematicians and that after mathematical objects have been introduced, they exist as objectively accessible ...
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Phenomenology and Mathematical Practice
Philosophia Mathematica, 2002Abstract A phenomenological approach to mathematical practice is sketched out, and some problems with this sort of approach are considered. The approach outlined takes mathematical practices as its data, and seeks to provide an empirically adequate philosophy of mathematics based on observation of these practices.
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The Philosophy of Mathematical Practice
International Studies in the Philosophy of Science, 2010Paolo Mancosu (Ed.) Oxford, Oxford University Press, 2008 xi + 447 pp., ISBN 9780199296453, £53.00, US$100 (hardback) From the end of the nineteenth century to this day, philosophers of mathematics...
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