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OverviewThis 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. Full Product DetailsAuthor: Frédéric PatrasPublisher: Springer International Publishing AG Imprint: Springer International Publishing AG Edition: 1st ed. 2023 Volume: 474 Weight: 0.383kg ISBN: 9783031275470ISBN 10: 3031275470 Pages: 130 Publication Date: 15 April 2023 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: Manufactured on demand ![]() We will order this item for you from a manufactured on demand supplier. Language: English Table of Contents1. Introduction2. Style in Mathematics3. From Plato to Husserl4. The Origins of modern Mathematics5. Axioms and Intuitions6. The structuralist Current7. Structures and Categories8. The Homes of Thought9. To the Meeting of Reality10. ConclusionReferencesReviewsAuthor InformationFrédéric Patras, alumnus of the École Normale Supérieure and research director at CNRS, is a mathematician and philosopher. Also author of a book on the concept of number, he published and edited moreover a hundred works on various subjects. As a philosopher, he is primarily interested in what the philosophical tradition can bring today to our understanding of science and mathematics. Tab Content 6Author Website:Countries AvailableAll regions |