Why should mathematicians ask politicians to avoid the ancient dilemma of pure and applied mathematics? (English) Zbl 1530.01047
Summary: Due to the commercialization of science and technology, there is evidence of politicians paying attention mainly to research with immediate applications and benefits. Furthermore, unrealistic requests are made regarding the direct applicability of results in mathematics, a circumstance that may negatively affect all basic and theoretical studies. This paper not only shows that the distinction between pure and applied mathematics is historically and practically unnecessary and unhelpful, but also emphasizes the romantic idea that pure and applied mathematicians should constitute a community and work together to change politicians’ minds.
MSC:
| 01A80 | Sociology (and profession) of mathematics |
References:
| [1] | V. I. Arnol ′ d, Topological problems in the theory of wave propa-gation. Russian Math. Surveys 51, 1-47 (1996). Translation from Uspekhi Mat. Nauk 51, 3-50 (1996) · Zbl 1053.37500 |
| [2] | D. L. Bernstein, The role of applications in pure mathematics. Amer. Math. Monthly 86, 245-253 (1979) · Zbl 0415.00030 |
| [3] | S. M. Buckley, Why do research in pure mathematics? Irish Math. Soc. Bull. 72, 39-44 (2013) · Zbl 1291.01062 |
| [4] | D. Capecchi, The path to post-Galilean epistemology. Hist. Mech. Mach. Sci. 34, Springer, Cham (2018) · Zbl 1373.01001 |
| [5] | P. Davidson, John Maynard Keynes, Palgrave Macmillan, Houndmills (2007) |
| [6] | A. Davies et al., Advancing mathematics by guiding human intuition with AI. Nature 600, 70-74 (2021) · Zbl 1505.57001 |
| [7] | ERCIM, Introduction to the special theme: Maths for everyday life. University of Helsinki (2008) |
| [8] | P. R. Halmos, Applied mathematics is bad mathematics. In Mathematics tomorrow, Springer, New York, 9-20 (1981) · Zbl 0456.34001 |
| [9] | G. H. Hardy, A mathematician’s apology. Reprint of the 1967 edition. Canto, Cambridge University Press, Cambridge (1992) · Zbl 0770.01017 |
| [10] | T. Heath, A history of Greek mathematics. Vol. II. Corrected reprint of the 1921 original. Dover Publications, New York (1981) |
| [11] | F. Kachapova, On the importance of pure mathematics. J. Math. Stat. 10, 421-422 (2014) |
| [12] | EMS MAGAZINE 130 (2023) |
| [13] | G. Kutyniok, The mathematics of artificial intelligence. In Pro-ceedings of the International Congress of Mathematicians (2022), DOI 10.4171/ICM2022/141 (to appear) · Zbl 1535.68295 · doi:10.4171/ICM2022/141 |
| [14] | K. Lewin, Field theory in social science: selected theoretical papers. Harper & Brothers, New York (1951) |
| [15] | P. Maddy, How applied mathematics became pure. Rev. Symb. Log. 1, 16-41 (2008) · Zbl 1196.01001 |
| [16] | J. A. Pérez-Escobar and D. Sarikaya, Purifying applied mathematics and applying pure mathematics: how a late Wittgensteinian perspective sheds light onto the dichotomy. Eur. J. Philos. Sci. 12, article no. 1 (2022) |
| [17] | J.-P. Pier, The historical changes of borders separating pure mathe-matics from applied mathematics. Discrete Contin. Dyn. Syst. Ser. S 6, 793-801 (2013) · Zbl 1298.01010 |
| [18] | M. Steiner, The applicability of mathematics as a philosophical problem. Harvard University Press, Cambridge, MA (1998) · Zbl 0945.00003 |
| [19] | I. Stewart, From here to infinity: a guide to today’s mathematics. 3rd edition, Oxford University Press, Oxford (1996) · Zbl 0947.00504 |
| [20] | M. Tegmark, The mathematical universe. Found. Phys. 38, 101-150 (2008) · Zbl 1132.00311 |
| [21] | G. L. Weiss, Thoughts on pure and applied mathematics. J. Geom. Anal. 31, 9143-9145 (2021) · Zbl 1477.30003 |
| [22] | Mohammad Sal Moslehian is a professor of mathematics at the Ferdowsi University of Mashhad, Iran. He is a fellow of The World Academy of Sciences (TWAS) and the president of the Iranian Mathematical Society. His research areas include operator theory and functional analysis. He was a senior associate in the International Centre for Theoretical Physics (Italy) and a visiting professor at several universities in England, Sweden, and Japan. He is the editor-in-chief of the Banach Journal of Mathematical Analysis, Annals of Functional Analysis, and Advances in Operator Theory. |
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