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Titolo: |
The architecture of modern mathematics : essays in history and philosophy / / edited by J. Ferreiros and J.J. Gray
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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
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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 |
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