The architecture of modern mathematics : essays in history and philosophy

Author(s)

Bibliographic Information

The architecture of modern mathematics : essays in history and philosophy

edited by J. Ferreirós and J.J. Gray

Oxford University Press, 2006

Available at  / 4 libraries

Search this Book/Journal

Note

Includes bibliographical references and indexes

Description and Table of Contents

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.

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

by "Nielsen BookData"

Details

Page Top