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New perspectives on mathematical practices : essays in philosophy and history of mathematics : Brussels, Belgium, 26-28 March 2007 /

This volume focuses on the importance of historical enquiry for the appreciation of philosophical problems concerning mathematics. It contains a well-balanced mixture of contributions by internationally established experts, such as Jeremy Gray and Jens Hoyrup; upcoming scholars, such as Erich Reck a...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor Corporativo: Perspectives on Mathematical Practices Conference Brussels, Belgium
Otros Autores: Kerkhove, Bart van
Formato: Electrónico Congresos, conferencias eBook
Idioma:Inglés
Publicado: Singapore ; Hackensack, NJ : World Scientific, ©2009.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • On the nature and origin of algebraic symbolism / Albrecht Heeffer
  • Reading diophantos / Ad Meskens
  • What did the abbacus teachers aim at when they (sometimes) ended up doing mathematics? An investigation of the incentives and norms of a distinct mathematical practice / Jens Høyrup
  • Philosophical method and Galileo's paradox of infinity / Matthew Parker
  • Representations as means and ends : representability and habituation in mathematical analysis during the first part of the nineteenth century / Henrik Kragh Sørensen
  • Nineteenth century analysis as philosophy of mathematics / Jeremy J. Gray
  • Dedekind, structural reasoning, and mathematical understanding / Erich H. Reck
  • A mathematician and a philosopher on the science-likeness of mathematics : Klein's and Lakatos' methodologies compared / Eduard Glas
  • An enhanced argument for innate elementary geometric knowledge and its philosophical implications / Helen De Cruz
  • The serpent in Russell's paradise / Ronny Desmet
  • Bridging theories with axioms : Boole, Stone, and Tarski / Dirk Schlimm.