Introduction to the Handbook of the History and Philosophy of Mathematical Practice

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

This Handbook offers a comprehensive survey of the story of mathematics and its practices. It is neither her story, nor his story, but story. In order to do so, the 100+ chapters spanning 3200+ pages in four volumes examine our collective mathematical practices over time and ways in which this shaped its history and philosophy. “Mathematical practice” is left as an undefined term in order to allow the reader to conceptualize it in whatever way they choose to. The book was inspired by conversations with three eminent souls Reuben Hersh, Yuri Manin, and Chandler Davis and is dedicated to them in memoriam.

Original languageEnglish
Title of host publicationHandbook of the History and Philosophy of Mathematical Practice
Subtitle of host publicationVolume 1-4
PublisherSpringer International Publishing
Pages3-5
Number of pages3
Volume1
ISBN (Electronic)9783031408465
ISBN (Print)9783031408458
DOIs
StatePublished - Jan 1 2024

Keywords

  • Chandler Davis
  • Constructing the reals
  • Euclidean and non-Euclidean geometry
  • Experimental mathematics
  • Influences in twentieth- and twenty-first-century mathematical practice
  • Logic
  • Mathematicians reflections
  • Natural history
  • Natural philosophy
  • New perspectives
  • Ontology
  • Origins
  • Paradoxes and foundations
  • Pluralism
  • Probability
  • Proof
  • Reuben Hersh
  • Semiology of mathematical practice
  • Views from other domains
  • Yuri Manin

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