Introducing the Philosophy of Mathematical Practice

Jessica Carter (Aarhus Universitet, Denmark)

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English

Cambridge University Press
02 January 2025

Philosophy: epistemology & theory of knowledge; Philosophy: logic; Philosophy of mathematics; Mathematical foundations; Calculus & mathematical analysis

Series: Elements in the Philosophy of Mathematics

Summary
Details

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.

By: Jessica Carter (Aarhus Universitet Denmark)
Imprint: Cambridge University Press
Country of Publication: United Kingdom
ISBN: 9781009479387
ISBN 10: 1009479385
Series: Elements in the Philosophy of Mathematics
Pages: 80
Publication Date: 02 January 2025
Audience: College/higher education , Further / Higher Education
Format: Hardback
Publisher's Status: Active