The architecture of modern mathematics essays in history and philosophy Ferreirós Domínguez, José contributor. Gray, Jeremy 1947- contributor. text bibliography Electronic books. History. enk 2023 monographic eng remote 1 online resource (xii, 442 pages) 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. 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. edited by J. Ferreirós and J.J. Gray. Formerly CIP. Previously issued in print: 2006. Includes bibliographical references (pages 397-432) and indexes. Mathematics History Philosophy Mathematics History 18th century Mathematics History 19th century Mathematics History 20th century Mathématiques Histoire Philosophie Mathématiques Histoire 18e siècle Mathématiques Histoire 19e siècle Mathématiques Histoire 20e siècle Mathematics Mathematics Philosophy 1700-1999 fast QA21 .A73 2006 510.9 9781383029789 1383029784 2005036586 http://proxy.library.tamu.edu/login?url=https://academic.oup.com/book/53052 STBDS 051220 20260319194811.5 in00005724683 eng