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Series:   Elements in the Philosophy of Mathematics

Introducing the Philosophy of Mathematical Practice

Published online by Cambridge University Press:  27 November 2024

Jessica Carter
Jessica Carter
Affiliation:
Aarhus Universitet, Denmark

Summary

This Element introduces a young field, the 'philosophy of mathematical practice'. We first offer a general characterisation of the approach to the philosophy of mathematics that takes mathematical practice seriously and contrast it with 'mathematical philosophy'. The latter is traced back to Bertrand Russell and the orientation referred to as 'scientific philosophy' that was active between 1850 and 1930. To give a better sense of the field, the Element further contains two examples of topics studied, that of mathematical structuralism and visual thinking in mathematics. These are in part presented from a methodological point of view, focussing on mathematics as an activity and questions related to how mathematics develops. In addition, the Element contains several examples from mathematics, both historical and contemporary , to illustrate and support the philosophical points.
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Keywords

philosophy of mathematical practicemathematical philosophymathematical structuralismvisual thinking in mathematicsdiagrams
Type
Element
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Series: Elements in the Philosophy of Mathematics
Online ISBN: 9781009076067
Publisher: Cambridge University Press
Print publication: 02 January 2025

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Introducing the Philosophy of Mathematical Practice
  • Jessica Carter, Aarhus Universitet, Denmark
  • Online ISBN: 9781009076067
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Introducing the Philosophy of Mathematical Practice
  • Jessica Carter, Aarhus Universitet, Denmark
  • Online ISBN: 9781009076067
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Introducing the Philosophy of Mathematical Practice
  • Jessica Carter, Aarhus Universitet, Denmark
  • Online ISBN: 9781009076067
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