The Architecture of Modern Mathematics: Essays in History and Philosphy

Introduction
J. Ferreiros 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. Ferreiros

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
W. Sieg

Coda

Modern mathematics as a cultural phenomenon
J. J. Gray