Cultures of Mathematics and Logic by Shier Ju Benedikt Löwe Thomas Müller & Yun Xie

Author:Shier Ju, Benedikt Löwe, Thomas Müller & Yun Xie
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham

It is difficult to identify the driving forces in the development of mathematics, especially when we bear in mind that mathematical praxis is more Babylonian than Euclidian and that theorems and deductive structures are only a minor part of the activity. However, one central driving force is the search for laws and regularities independently of whether these laws and regularities come from physics, mathematics itself or from other sources. It is therefore a bad idea to differentiate radically between pure and applied mathematics, a point made very clearly by Mark Kac and Stanisław M. Ulam:

It should perhaps be stressed again that the boundaries between mathematics and the many disciplines to which it is applied are seldom sharply drawn. Nothing but impoverishment can be expected from the unfortunately rather frequent current efforts to isolate a body of ‘pure’ mathematics from the rest of scientific endeavour and to let it feed only on itself. (Kac and Ulam, 1979, p. 180)

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