Introducing the Philosophy of Mathematical Practice - Jessica Carter

Introducing the Philosophy of Mathematical Practice

(Autor)

Buch | Hardcover
75 Seiten
2024
Cambridge University Press (Verlag)
978-1-009-47938-7 (ISBN)
62,30 inkl. MwSt
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.

Introduction; 1. Different approaches to philosophy of mathematics; 2. Structure in mathematics; 3. Visual thinking in mathematics; Conclusion; References.

Erscheinungsdatum
Reihe/Serie Elements in the Philosophy of Mathematics
Zusatzinfo Worked examples or Exercises
Verlagsort Cambridge
Sprache englisch
Themenwelt Geisteswissenschaften Philosophie
Mathematik / Informatik Mathematik Allgemeines / Lexika
Mathematik / Informatik Mathematik Analysis
ISBN-10 1-009-47938-5 / 1009479385
ISBN-13 978-1-009-47938-7 / 9781009479387
Zustand Neuware
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