Visualization, Explanation and Reasoning Styles in Mathematics
This book contains groundbreaking contributions to the philosophical analysis of mathematical practice. Several philosophers of mathematics have recently called for an approach to philosophy of mathematics that pays more attention to mathematical practice. Questions concerning concept-formation, und...
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| Hlavní autor: | |
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| Další autoři: | , , |
| Médium: | Livre numérique |
| Jazyk: | Anglais |
| Vydáno: |
Dordrecht :
Springer Netherlands
2005.
Cham : Springer Nature |
| Vydání: | 1st ed. 2005. |
| Edice: | Synthese Library, Studies in Epistemology, Logic, Methodology, and Philosophy of Science
327 |
| On-line přístup: | Accès sur la plateforme de l'éditeur Accès sur la plateforme ISTEX Accès Université d'Orléans Accès INSA CVL |
| Poznámka: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Visualization, explanation and reasoning styles in mathematics, ed. by Paolo Mancosu..., Klaus Frovin Jørgensen... and Stig Andur Pedersen..., Dordrecht [etc.], Springer, 2005, 1 vol. (X-300 p.), The synthese library, 1-4020-3334-6 • Visualization, Explanation and Reasoning Styles in Mathematics, Texte imprimé, 9789048102631 • Visualization, Explanation and Reasoning Styles in Mathematics, Texte imprimé, 9789048168378 • Visualization, explanation and reasoning styles in mathematics, ed. by Paolo Mancosu..., Klaus Frovin Jørgensen... and Stig Andur Pedersen..., Dordrecht [etc.], Springer, 2005, 1 vol. (X-300 p.), The synthese library, 1-4020-3334-6 |
| Shrnutí: | This book contains groundbreaking contributions to the philosophical analysis of mathematical practice. Several philosophers of mathematics have recently called for an approach to philosophy of mathematics that pays more attention to mathematical practice. Questions concerning concept-formation, understanding, heuristics, changes in style of reasoning, the role of analogies and diagrams etc. have become the subject of intense interest. The historians and philosophers in this book agree that there is more to understanding mathematics than a study of its logical structure. How are mathematical objects and concepts generated? How does the process tie up with justification? What role do visual images and diagrams play in mathematical activity? What are the different epistemic virtues (explanatoriness, understanding, visualizability, etc.) which are pursued and cherished by mathematicians in their work? The reader will find here systematic philosophical analyses as well as a wealth of philosophically informed case studies ranging from Babylonian, Greek, and Chinese mathematics to nineteenth century real and complex analysis |
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| Popis jednotky: | Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Médium: | Nécessite un lecteur de fichier PDF |
| ISBN: | 9781402033353 |
| ISSN: | 2542-8292 |
| Přístup: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |