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portada Contemporary Mathematical Thinking
Type
Physical Book
Author
Publisher
Language
English
Pages
130
Format
Hardcover
Dimensions
23.4x15.6x1 cm
Weight
0.38 kg.
ISBN13
9783031275470
Categories

Contemporary Mathematical Thinking

Frédéric Patras (Author) · Springer · Hardcover

Contemporary Mathematical Thinking - Patras, Frédéric

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Synopsis "Contemporary Mathematical Thinking"

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.

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