Patterns of Change : Linguistic Innovations in the Development of Classical Mathematics
This book offers a reconstruction of linguistic innovations in the history of mathematics; innovations which changed the ways in which mathematics was done, understood and philosophically interpreted. It argues that there are at least three ways in which the language of mathematics has been changed...
Spremljeno u:
| Glavni autor: | |
|---|---|
| Format: | Livre numérique |
| Jezik: | Anglais |
| Izdano: |
Basel :
Birkhäuser Basel
[20..].
Cham : Springer Nature |
| Izdanje: | 1st ed. 2008. |
| Serija: | Science Networks. Historical Studies
36 |
| Teme: | |
| Online pristup: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Bilješka: |
L'impression du document génère 276 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Patterns of change, linguistic innovations in the development of classical mathematics, Ladislav Kvasz, Basel, Birkhäuser, 2008, 1 vol. (xviii-261 p.), Science networks historical studies, 978-3-7643-8839-3 • Patterns of Change, Texte imprimé, 9783764398545 • Patterns of change, linguistic innovations in the development of classical mathematics, Ladislav Kvasz, Basel, Birkhäuser, 2008, 1 vol. (xviii-261 p.), Science networks historical studies, 978-3-7643-8839-3 |
Sadržaj:
- Preface Introduction Re-codings as the first pattern of change in mathematics Historical description of re-codings Philosophical reflections on re-codings Relativizations as the second pattern of change in mathematics A Historical description of relativizations in synthetic geometry Historical description of relativizations in algebra Philosophical reflections on relativizations Re-formulations as a third pattern of change in mathematics Re-formulations and concept-formation Re-formulations and problem-solving Re-formulations and theory-building Mathematics and change The question of revolutions in mathematics (Kuhn) The question of mathematical research programs (Lakatos) The question of stages of cognitive development (Piaget) Notes Bibliography