The Architecture of Modern Mathematics: Essays in History and Philosophy

Hardcover | May 27, 2006

EditorJ. Ferreiros, J. J. Gray

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This edited volume, aimed at both students and researchers in philosophy, mathematics and history of science, highlights leading developments in the overlapping areas of philosophy and the history of modern mathematics. It is a coherent, wide ranging account of how a number of topics in thephilosophy of mathematics must be reconsidered in the light of the latest historical research, and how a number of historical accounts can be deepened by embracing philosophical questions.

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This edited volume, aimed at both students and researchers in philosophy, mathematics and history of science, highlights leading developments in the overlapping areas of philosophy and the history of modern mathematics. It is a coherent, wide ranging account of how a number of topics in thephilosophy of mathematics must be reconsidered...

Jeremy Gray is Professor of the History of Mathematics and Director of the Centre for the History of the Mathematical Sciences at the Open University, and a regular Visiting Professor at the University of Warwick. He works on the history of mathematics in the 19th and 20th Centuries, and also on issues in the philosophy and social si...

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Format:HardcoverDimensions:456 pages, 9.21 × 6.14 × 1.21 inPublished:May 27, 2006Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0198567936

ISBN - 13:9780198567936

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Table of Contents

IntroductionJ. Ferreiros and J. J. Gray: Reinterpretations in the history and philosophy of foundationsM. Beaney: Frege and the role of historical elucidation: Methodology and the foundations of mathematicsJ. Ferreiros: Riemann's Habilitationsvortrag at the crossroads of mathematics, physics and philosophyJ. Tappenden: The Riemannian background to Frege's philosophyL. Corry: Axiomatics, Empiricism, and Anschauung in Hilbert's conception of geometry: Between arithmetic and general relativityExplorations into the emergence of modern mathematicsJ. Avigad: Methodology and metaphysics in the development of Dedekind's theory of idealsC. McLarty: Emmy Noether's "set-theoretic" topology: from Dedekind to the rise of functorsP. Mancosu: Tarski on models and logical consequenceJ. P. Marquis: A path to the epistemology of mathematics: Homotopy theoryAlternative views and programs in the philosophy of mathematicsM. Epple: Felix Hausdorff's 'considered empiricism'E. Scholz: Practice-related symbolic realism in H. Weyl's mature view of mathematical knowledgeH. Benis-Sinaceur (Translated by J. Deans): From Kant to Hilbert: French philosophy of concepts in the beginning of the 20th Century.W. Sieg: Relative consistency and accessible domains, (Synthese, vol. 84, 1990)CodaJ. J. Gray: Modern mathematics as a cultural phenomenon