Contemporary mathematical thinking / Frédéric Patras.
2023
QA26 .P38 2023
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Details
Title
Contemporary mathematical thinking / Frédéric Patras.
Author
Patras, Frédéric, author.
ISBN
9783031275487 electronic book
3031275489 electronic book
3031275470
9783031275470
3031275489 electronic book
3031275470
9783031275470
Published
Cham, Switzerland : Springer, 2023.
Language
English
Description
1 online resource (126 pages)
Item Number
10.1007/978-3-031-27548-7 doi
Call Number
QA26 .P38 2023
Dewey Decimal Classification
510.904
Summary
This book deals with the evolution of mathematical thought during the 20th century. Representing a unique point of view combining mathematics, philosophy and history on this issue, it presents an original analysis of key authors, for example Bourbaki, Grothendieck and Husserl. As a product of 19th and early 20th century science, a canon of knowledge or a scientific ideology, mathematical structuralism had to give way. The succession is difficult, still in progress, and uncertain. To understand contemporary mathematics, its progressive liberation from the slogans of "modern mathematics" and the paths that remain open today, it is first necessary to deconstruct the history of this long dominant current. Another conception of mathematical thought emerged in the work of mathematicians such as Hilbert or Weyl, which went beyond the narrow epistemological paths of science in the making. In this tradition, mathematical thought was accompanied by a philosophical requirement. Modernity teaches us to revive it. The book is intended for a varied public: mathematicians concerned with understanding their discipline, philosophers of science, and the erudite public curious about the progress of mathematics.
Bibliography, etc. Note
Includes bibliographical references.
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Access limited to authorized users.
Source of Description
Description based on print version record.
Series
Synthese library ; v. 474.
Available in Other Form
CONTEMPORARY MATHEMATICAL THINKING.
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Table of Contents
1. Introduction
2. Style in Mathematics
3. From Plato to Husserl
4. The Origins of modern Mathematics
5. Axioms and Intuitions
6. The structuralist Current
7. Structures and Categories
8. The Homes of Thought
9. To the Meeting of Reality
10. Conclusion
References.
2. Style in Mathematics
3. From Plato to Husserl
4. The Origins of modern Mathematics
5. Axioms and Intuitions
6. The structuralist Current
7. Structures and Categories
8. The Homes of Thought
9. To the Meeting of Reality
10. Conclusion
References.