Architecture of Modern Mathematics: Essays in History and Philosophy

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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 the philosophy 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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Product Details

  • ISBN-13: 9780198567936
  • Publisher: Oxford University Press, USA
  • Publication date: 6/29/2006
  • Edition description: New Edition
  • Pages: 456
  • Product dimensions: 9.30 (w) x 6.40 (h) x 1.30 (d)

Meet the Author

University of Seville

Open University

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Table of Contents

Introduction J. Ferreirós and J. J. Gray
Reinterpretations in the History and Philosophy of Foundations
Frege and the Role of Historical Elucidation: Methodology and the Foundations of Mathematics, M. Beaney
Riemann's Habilitationsvortrag at the Crossroads of Mathematics, Physics and Philosophy, J. Ferreirós
The Riemannian Background to Frege's Philosophy, J. Tappenden
Axiomatics, Empiricism, and Anschauung in Hilbert's Conception of Geometry: Between Arithmetic and General Relativity, L. Corry
Explorations into the Emergence of Modern Mathematics
Methodology and Metaphysics in the Development of Dedekind's Theory of Ideals, J. Avigad
Emmy Noether's "Set-theoretic" Topology: From Dedekind to the Rise of Functors, C. McLarty
Tarski on Models and Logical Consequence, P. Mancosu
A Path to the Epistemology of Mathematics: Homotopy Theory, J. P. Marquis
Alternative Views and Programs in the Philosophy of Mathematics
Felix Hausdorff's 'Considered Empiricism', M. Epple
Practice-related Symbolic Realism in H. Weyl's Mature View of Mathematical Knowledge, E. Scholz
From Kant to Hilbert: French Philosophy of Concepts in the Beginning of the 20th Century., H. Benis-Sinaceur
Relative Consistency and Accessible Domains, (Synthese, vol. 84, 1990), W. Sieg Coda
Modern Mathematics as a Cultural Phenomenon, J. J. Gray

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