The Architecture of Modern Mathematics
Essays in History and Philosophy
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Product details:
- Publisher OUP Oxford
- Date of Publication 27 April 2006
- ISBN 9780198567936
- Binding Hardback
- No. of pages456 pages
- Size 240x163x30 mm
- Weight 823 g
- Language English
- Illustrations 2 line drawings 0
Categories
Short description:
Aimed at both students and researchers in philosophy, mathematics and the history of science, this edited volume, authored by leading scholars, highlights foremost developments in both the philosophy and history of modern mathematics.
MoreLong description:
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.
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.
Table of Contents:
Introduction
Reinterpretations in the history and philosophy of foundations
Frege and the role of historical elucidation: Methodology and the foundations of mathematics
Riemann's Habilitationsvortrag at the crossroads of mathematics, physics and philosophy
The Riemannian background to Frege's philosophy
Axiomatics, Empiricism, and Anschauung in Hilbert's conception of geometry: Between arithmetic and general relativity
Explorations into the emergence of modern mathematics
Methodology and metaphysics in the development of Dedekind's theory of ideals
Emmy Noether's "set-theoretic" topology: from Dedekind to the rise of functors
Tarski on models and logical consequence
A path to the epistemology of mathematics: Homotopy theory
Alternative views and programs in the philosophy of mathematics
Felix Hausdorff's 'considered empiricism'
Practice-related symbolic realism in H. Weyl's mature view of mathematical knowledge
From Kant to Hilbert: French philosophy of concepts in the beginning of the 20th Century.
Relative consistency and accessible domains, (Synthese, vol. 84, 1990)
Coda
Modern mathematics as a cultural phenomenon
