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