The argument of mathematics / / Andrew Aberdein, Ian J. Dove, editors
(Visualizza in formato marc)
(Visualizza in BIBFRAME)
| Titolo: |
The argument of mathematics / / Andrew Aberdein, Ian J. Dove, editors
|
| Pubblicazione: | New York, : Springer, 2013 |
| Edizione: | 1st ed. 2013. |
| Descrizione fisica: | 1 online resource (391 p.) |
| Disciplina: | 510.1 |
| Soggetto topico: | Proof theory |
| Altri autori: |
AberdeinAndrew
DoveIan J
|
| Note generali: | Description based upon print version of record. |
| Nota di bibliografia: | Includes bibliographical references and index. |
| Nota di contenuto: | pt. I. What are mathematical arguments? -- pt. II. Argumentation as a methodology for studying mathematical practice -- pt. III. Mathematics as a testbed for argumentation theory -- pt. IV. An argumentational turn in the philosophy of mathematics. |
| Sommario/riassunto: | Written by experts in the field, this volume presents a comprehensive investigation into the relationship between argumentation theory and the philosophy of mathematical practice. Argumentation theory studies reasoning and argument, and especially those aspects not addressed, or not addressed well, by formal deduction. The philosophy of mathematical practice diverges from mainstream philosophy of mathematics in the emphasis it places on what the majority of working mathematicians actually do, rather than on mathematical foundations. The book begins by first challenging the assumption that there is no role for informal logic in mathematics. Next, it details the usefulness of argumentation theory in the understanding of mathematical practice, offering an impressively diverse set of examples, covering the history of mathematics, mathematics education and, perhaps surprisingly, formal proof verification. From there, the book demonstrates that mathematics also offers a valuable testbed for argumentation theory. Coverage concludes by defending attention to mathematical argumentation as the basis for new perspectives on the philosophy of mathematics. . |
| Titolo autorizzato: | The argument of mathematics |
| ISBN: | 94-007-6534-7 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910438332403321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Logic, Epistemology, and the Unity of Science, . 2214-9775 ; ; 30