Readership: Students and researchers in philosophy, mathematics and history of science.
Edited by J. Ferreiros, University of Seville, and J. J. Gray, Open University
"The essays are uniformly a joy to read, and the bibliography is ample, giving interested readers an extensive springboard for further exploration. I recommend it highly." - Andrew Arana the Mathmatical Intelligencer
IntroductionJ. Ferreirós and J. J. Gray:
Reinterpretations in the history and philosophy of foundations
M. Beaney: Frege and the role of historical elucidation: Methodology and the foundations of mathematics
J. Ferreirós: Riemann's Habilitationsvortrag at the crossroads of mathematics, physics and philosophy
J. Tappenden: The Riemannian background to Frege's philosophy
L. Corry: Axiomatics, Empiricism, and Anschauung in Hilbert's conception of geometry: Between arithmetic and general relativity
Explorations into the emergence of modern mathematics
J. Avigad: Methodology and metaphysics in the development of Dedekind's theory of ideals
C. McLarty: Emmy Noether's "set-theoretic" topology: from Dedekind to the rise of functors
P. Mancosu: Tarski on models and logical consequence
J. P. Marquis: A path to the epistemology of mathematics: Homotopy theory
Alternative views and programs in the philosophy of mathematics
M. Epple: Felix Hausdorff's 'considered empiricism'
E. Scholz: Practice-related symbolic realism in H. Weyl's mature view of mathematical knowledge
H. 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)
J. J. Gray: Modern mathematics as a cultural phenomenon