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Mathematical Universalism

Published online by Cambridge University Press:  01 January 2024

Pierre Cartier
Pierre Cartier*
Affiliation:
CNRS/IHES
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Abstract

This paper presents a historical view of the rise of mathematical universalism in modern times. It argues that 20th century mathematical revolution laid the foundations for a new universalism which extended to physics, economics, informatics, and recently biology. It describes the role played by the organization of mathematical work for closer co-operation among scientists on an international scale throughout the century, and stresses the importance of mathematics in the education process.

Type
Articles
Information
Diogenes , Volume 55 , Issue 3 , August 2008 , pp. 67 - 76
Copyright
Copyright © ICPHS 2008

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References

Notes

1. By this I mean exploration of the world of form.

2. If a quantity varies continuously, from an initial value A to a final value B>A, any intermediate value C such that A<C<B will be reached at least once.

3. There is a constant need for encyclopaedias, and there were other important projects during the 20th century. None will have the scope or the influence of Bourbaki's.

4. Which has also become an important publishing house.

5. And on correcting the affront some French mathematicians had given to the Germans at the 1920 Strasbourg congress. (PC)

6. The IMU has representatives from 65 countries of the 190 represented at the United Nations.

7. Among those organizations mention can be made of CIMPA in Nice, which undertakes to organize meetings and courses worldwide.

8. The Soviet MIR publications did a terrific job in this area. Unfortunately Russia's disastrous economic situation has all but halted this work.