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101 0 $aeng
135   $aurnn#008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
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200 10$aContemporary Mathematical Thinking /$fby Frédéric Patras
205   $a1st ed. 2023.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2023.
215   $a1 online resource (VII, 130 p.)
225 1 $aSynthese Library, Studies in Epistemology, Logic, Methodology, and Philosophy of Science,$x2542-8292 ;$v474
311 08$a3-031-27547-0 
320   $aIncludes bibliographical references.
327   $a1. 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.
330   $aThis book deals with the evolution of mathematical thought during the 20th century. Representing a unique point of view combining mathematics, philosophy and history on this issue, it presents an original analysis of key authors, for example Bourbaki, Grothendieck and Husserl. As a product of 19th and early 20th century science, a canon of knowledge or a scientific ideology, mathematical structuralism had to give way. The succession is difficult, still in progress, and uncertain. To understand contemporary mathematics, its progressive liberation from the slogans of "modern mathematics" and the paths that remain open today, it is first necessary to deconstruct the history of this long dominant current. Another conception of mathematical thought emerged in the work of mathematicians such as Hilbert or Weyl, which went beyond the narrow epistemological paths of science in the making. In this tradition, mathematical thought was accompanied by a philosophical requirement. Modernity teaches us to revive it. The book is intended for a varied public: mathematicians concerned with understanding their discipline, philosophers of science, and the erudite public curious about the progress of mathematics.
410  0$aSynthese Library, Studies in Epistemology, Logic, Methodology, and Philosophy of Science,$x2542-8292 ;$v474
606   $aMathematics
606   $aHistory
606   $aMathematics$xPhilosophy
606   $aScience$xPhilosophy
606   $aIntellectual life$xHistory
606   $aPhenomenology
606   $aHistory of Mathematical Sciences
606   $aPhilosophy of Mathematics
606   $aPhilosophy of Science
606   $aHistory of Ideas
606   $aPhenomenology
615  0$aMathematics.
615  0$aHistory.
615  0$aMathematics$xPhilosophy.
615  0$aScience$xPhilosophy.
615  0$aIntellectual life$xHistory.
615  0$aPhenomenology.
615 14$aHistory of Mathematical Sciences.
615 24$aPhilosophy of Mathematics.
615 24$aPhilosophy of Science.
615 24$aHistory of Ideas.
615 24$aPhenomenology.
676   $a780
676   $a510.904
700   $aPatras$b Fre?de?ric$0596450
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910698642103321
996   $aContemporary Mathematical Thinking$93106940
997   $aUNINA