Architecture of Modern Mathematics: Essays in History and Philosophy

by J. Ferreirós (Editor), J. J. Gray (Editor)

Overview

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.

Product Details

ISBN-13:	9780198567936
Publisher:	Oxford University Press
Publication date:	06/29/2006
Edition description:	New Edition
Pages:	456
Product dimensions:	9.40(w) x 6.49(h) x 1.22(d)

About the Author

University of Seville

Open University

Table of Contents

Introduction, J. Ferreirós and J. J. GrayReinterpretations in the History and Philosophy of FoundationsFrege and the Role of Historical Elucidation: Methodology and the Foundations of Mathematics, M. BeaneyRiemann's Habilitationsvortrag at the Crossroads of Mathematics, Physics and Philosophy, J. FerreirósThe Riemannian Background to Frege's Philosophy, J. TappendenAxiomatics, Empiricism, and Anschauung in Hilbert's Conception of Geometry: Between Arithmetic and General Relativity, L. CorryExplorations into the Emergence of Modern MathematicsMethodology and Metaphysics in the Development of Dedekind's Theory of Ideals, J. AvigadEmmy Noether's "Set-theoretic" Topology: From Dedekind to the Rise of Functors, C. McLartyTarski on Models and Logical Consequence, P. MancosuA Path to the Epistemology of Mathematics: Homotopy Theory, J. P. MarquisAlternative Views and Programs in the Philosophy of MathematicsFelix Hausdorff's 'Considered Empiricism', M. EpplePractice-related Symbolic Realism in H. Weyl's Mature View of Mathematical Knowledge, E. ScholzFrom Kant to Hilbert: French Philosophy of Concepts in the Beginning of the 20th Century., H. Benis-SinaceurRelative Consistency and Accessible Domains, (Synthese, vol. 84, 1990), W. Sieg CodaModern Mathematics as a Cultural Phenomenon, J. J. Gray