What is a mathematical concept?

著者

    • De Freitas, Elizabeth
    • Sinclair, Nathalie
    • Coles, Alf

書誌事項

What is a mathematical concept?

edited by Elizabeth de Freitas, Nathalie Sinclair, Alf Coles

Cambridge University Press, 2017

  • : hardback

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注記

Includes bibliographical references and index

内容説明・目次

内容説明

Responding to widespread interest within cultural studies and social inquiry, this book addresses the question 'what is a mathematical concept?' using a variety of vanguard theories in the humanities and posthumanities. Tapping historical, philosophical, sociological and psychological perspectives, each chapter explores the question of how mathematics comes to matter. Of interest to scholars across the usual disciplinary divides, this book tracks mathematics as a cultural activity, drawing connections with empirical practice. Unlike other books in this area, it is highly interdisciplinary, devoted to exploring the ontology of mathematics as it plays out in different contexts. This book will appeal to scholars who are interested in particular mathematical habits - creative diagramming, structural mappings, material agency, interdisciplinary coverings - that shed light on both mathematics and other disciplines. Chapters are also relevant to social sciences and humanities scholars, as each offers philosophical insight into mathematics and how we might live mathematically.

目次

  • Introduction
  • Part I: 1. Of polyhedra and pyjamas: platonism and induction in meaning-finitist mathematics Michael J. Barany
  • 2. Mathematical concepts? The view from ancient history Reviel Netz
  • Part II: 3. On treating mathematical drawings as artworks Juliette Kennedy
  • 4. Concepts as generative devices Elizabeth de Freitas and Nathalie Sinclair
  • Part III: 5. Bernhard Riemann's conceptual mathematics and pedagogy of mathematical concepts Arkady Plotnitsky
  • 6. Deleuze and the conceptualizable character of mathematical theories Simon Duffy
  • Part IV: 7. The vertical unity of the concept of space David Corfield
  • 8. The perfectoid concept: test case for an absent theory Michael Harris
  • Part V: 9. Queering mathematical concepts Heather Mendick
  • 10. Mathematics concepts in the news Richard Barwell and Yasmine Abtahi
  • 11. Concepts and commodities in mathematical learning Tony Brown
  • Part VI: 12. A relational view of mathematical concepts Alf Coles
  • 13. Cultural concepts concretely Wolff-Michael Roth
  • Part VII: 14. Ideas as species Brent Davis
  • 15. Inhabiting mathematical concepts Ricardo Nemirovsky
  • Afterword. Making a thing of it: some conceptual commentary David Pimm
  • Index.

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