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The architecture of modern mathematics : essays in history and philosophy / edited by J. Ferreirós and J.J. Gray.

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Format:
Book
Contributor:
Ferreirós Domínguez, José, contributor.
Gray, Jeremy, 1947- contributor.
Series:
Oxford scholarship online.
Oxford scholarship online
Language:
English
Subjects (All):
Mathematics--History--Philosophy.
Mathematics.
Mathematics--History--18th century.
Mathematics--History--19th century.
Mathematics--History--20th century.
Physical Description:
xii, 442 p.
Edition:
1st ed.
Place of Publication:
Oxford : Oxford University Press, 2023
Summary:
Aimed at graduates and researchers in philosophy, mathematics and history of science, this work reports on leading developments in the overlapping areas of philosophy and the history of modern mathematics.
Contents:
Intro
Contents
Acknowledgements
List of Contributors
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 twentieth century
Relative Consistency and Accessible Domains
CODA
Modern mathematics as a cultural phenomenon
References
Name Index
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
Y
Z
Subject Index
Z.
Notes:
Formerly CIP.
Previously issued in print: 2006.
Includes bibliographical references (pages 397-432) and indexes.
Derived record based on print version record and publisher information.
ISBN:
1-383-02978-4
0-19-151379-2
OCLC:
171034759

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