ENGLISH

Introducing the Philosophy of Mathematical Practice

By Jessica Carter

Book information

Publisher
Cambridge University Press
Year
2024
ISBN
9781009479387, 9781009076067, 9781009074780
DOI
10.1017/9781009076067
ISSN
2399-2883
Google Books ID
3DW30AEACAAJ
Language
english
Format
PDF
Filesize
2 MB (1919869 bytes)
Series
Cambridge Elements, Elements in the Philosophy of Mathematics
Pages
\80
Orientation
yes
Scanned
no
Time added
2024-12-12 21:47:32

Description

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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