The architecture of modern mathematics : essays in history and philosophy / / edited by J. Ferreiros and J.J. Gray
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| Titolo: |
The architecture of modern mathematics : essays in history and philosophy / / edited by J. Ferreiros and J.J. Gray
|
| Pubblicazione: | Oxford ; ; New York, : Oxford University Press, 2006 |
| Edizione: | 1st ed. |
| Descrizione fisica: | xii, 442 p |
| Disciplina: | 510.9 |
| Soggetto topico: | Mathematics - History - Philosophy |
| Mathematics - History - 18th century | |
| Mathematics - History - 19th century | |
| Mathematics - History - 20th century | |
| Altri autori: |
Ferreiros DominguezJose
GrayJeremy <1947->
|
| Note generali: | Formerly CIP. |
| Previously issued in print: 2006. | |
| Nota di bibliografia: | Includes bibliographical references (p. 397-432) and indexes. |
| Nota di contenuto: | Intro -- Contents -- Acknowledgements -- List of Contributors -- Introduction -- REINTERPRETATIONS IN THE HISTORY AND PHILOSOPHY OF FOUNDATIONS -- Frege and the Role of Historical Elucidation: Methodology and the Foundations of Mathematics -- Riemann's Habilitationsvortrag at the Crossroads of Mathematics, Physics, and Philosophy -- The Riemannian Background to Frege's Philosophy -- Axiomatics, Empiricism, and Anschauung in Hilbert's Conception of Geometry: Between Arithmetic and General Relativity -- EXPLORATIONS INTO THE EMERGENCE OF MODERN MATHEMATICS -- Methodology and metaphysics in the development of Dedekind's theory of ideals -- Emmy Noether's 'Set Theoretic' Topology: From Dedekind to the Rise of Functors -- Tarski on models and logical consequence -- A Path to the Epistemology of Mathematics: Homotopy Theory -- ALTERNATIVE VIEWS AND PROGRAMS IN THE PHILOSOPHY OF MATHEMATICS -- Felix Hausdorff 's Considered Empiricism -- Practice-related symbolic realism in H.Weyl's mature view of mathematical knowledge -- From Kant to Hilbert: French philosophy of concepts in the beginning of the twentieth century -- Relative Consistency and Accessible Domains -- CODA -- Modern mathematics as a cultural phenomenon -- References -- Name Index -- A -- B -- C -- D -- E -- F -- G -- H -- I -- J -- K -- L -- M -- N -- O -- P -- Q -- R -- S -- T -- U -- V -- W -- Y -- Z -- Subject Index -- A -- B -- C -- D -- E -- F -- G -- H -- I -- L -- M -- N -- O -- P -- Q -- R -- S -- T -- V -- Z. |
| Sommario/riassunto: | Aimed at graduates and researchers in philosophy, mathematics and history of science, this work reports on leading developments in the overlapping areas of philosophy and the history of modern mathematics. |
| Titolo autorizzato: | The architecture of modern mathematics |
| ISBN: | 1-383-02978-4 |
| 0-19-151379-2 | |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910827040303321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Oxford scholarship online.