Introducing the Philosophy of Mathematical Practice
Book Details
Format
Hardback or Cased Book
Book Series
Elements in the Philosophy of Mathematics
ISBN-10
1009479385
ISBN-13
9781009479387
Publisher
Cambridge University Press
Imprint
Cambridge University Press
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Jan 2nd, 2025
Print length
80 Pages
Weight
252 grams
Dimensions
22.90 x 15.20 x 0.60 cms
Ksh 10,050.00
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The Element introduces the philosophy of mathematical practice, which takes mathematical practice and contrasts it with mathematical philosophy, a term traced back to Bertrand Russell's scientific philosophy. It discusses mathematical structuralism and visual thinking, focusing on methodological aspects and historical and contemporary examples.
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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