1.

Record Nr.

UNINA9910254075303321

Autore

Cartier Pierre

Titolo

Freedom in mathematics / / by Pierre Cartier, Jean Dhombres, Gerhard Heinzmann, Cédric Villani

Pubbl/distr/stampa

New Delhi : , : Springer India : , : Imprint : Springer, , 2016

ISBN

81-322-2788-3

Edizione

[1st ed. 2016.]

Descrizione fisica

1 online resource (128 p.)

Disciplina

510

Soggetti

Mathematics

History

Applied mathematics

Engineering mathematics

Social sciences

History of Mathematical Sciences

Applications of Mathematics

Mathematics in the Humanities and Social Sciences

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di contenuto

Presentation of the Authors (Pierre Cartier, Jean Dhombres, Gerhard Heinzmann, Cedric Villani) -- On the Origins of Mathematics -- The Relations between Mathématics and Reality -- Social and Political History of Mathematics Education -- Nature and Issues of the Mathematics Research -- Conclusion -- Annexure.

Sommario/riassunto

This book challenges the views put forward by Pierre Cartier, one of the anchors of the famous Bourbaki group, and Cédric Villani, one of the most brilliant mathematicians of his generation, who received the Fields Medal in 2010. Jean Dhombres, mathematician and science historian, and Gerhard Heinzmann, philosopher of science and also a specialist in mathematics engage in a fruitful dialogue with the two mathematicians, prompting readers to reflect on mathematical activity and its social consequences in history as well as in the modern world. Cédric Villani’s popular success proves once again that a common awareness has developed, albeit in a very confused way, of the major role of mathematics in the construction and efficiency of natural



sciences, which are at the origin of our technologies. Despite this, the idea that mathematics cannot be shared remains firmly entrenched, a perceived failing that has even been branded a lack of culture by vocal forces in the media as well as cultural and political establishment.   The authors explore three major directions in their dialogue: the highly complex relationship between mathematics and reality, the subject of many debates and opposing viewpoints; the freedom that the construction of mathematics has given humankind by enabling them to develop the natural sciences as well as mathematical research; and the responsibility with which the scientific community and governments should address the role of mathematics in research and education policies.