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Contemporary mathematical thinking

Patras, Frederic.

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Contemporary mathematical thinking

Record Type:	Electronic resources : Monograph/item
Title/Author:	Contemporary mathematical thinking/ by Frederic Patras.
Author:	Patras, Frederic.
Published:	Cham :Springer International Publishing : : 2023.,
Description:	vii, 130 p. :ill., digital ;24 cm.
[NT 15003449]:	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.
Contained By:	Springer Nature eBook
Subject:	Mathematics - History - 20th century. -
Online resource:	https://doi.org/10.1007/978-3-031-27548-7
ISBN:	9783031275487

Contemporary mathematical thinking
Patras, Frederic.

Contemporary mathematical thinking[electronic resource] /by Frederic Patras. - Cham :Springer International Publishing :2023. - vii, 130 p. :ill., digital ;24 cm. - Synthese library, studies in epistemology, logic, methodology, and philosophy of science,v. 4742542-8292 ;. - Synthese library, studies in epistemology, logic, methodology, and philosophy of science ;v. 474..

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.

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.

ISBN: 9783031275487

Standard No.: 10.1007/978-3-031-27548-7doiSubjects--Topical Terms:

550208
Mathematics
--History--20th century.

LC Class. No.: QA26

Dewey Class. No.: 510.904

Contemporary mathematical thinking
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505 0 $a 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.
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