eng
Science and Education Publishing
American Journal of Applied Mathematics and Statistics
2328-7292
2017-08-07
5
3
95
100
10.12691/ajams-5-3-2
AJAMS2017532
article
Studying the Winger's 'Enigma' about the Unreasonable Effectiveness of Mathematics in the Natural Sciences
Michael Gr. Voskoglou
voskoglou@teiwest.gr, mvosk@hol.gr
1
Mathematical Sciences, School of Technological Applications, Graduate Technological Educational Institute of Western Greece, Patras, Greece
The effectiveness of mathematics in the natural sciences was characterized by the famous Nobel prize holder E. P. Winger as being unreasonable. It is not difficult for one to understand that this characterization is related to a question that has occupied the interest of philosophers, mathematicians and other scientists at least from the Plato's era in ancient , until today: 'Is mathematics discovered or invented by humans'? In the present work in an effort to obtain a convincing explanation of the above Winger's 'enigma', the existing philosophical views about the above question are critically examined and discussed in connection with the advances in the history of mathematics that affected the human beliefs about them.
http://pubs.sciepub.com/ajams/5/3/2/ajams-5-3-2.pdf
** **philosophy of mathematics
platonism
mathematical realism
non euclidean geometries
set theory
continuum hypothesis
axiom of choice
incompleteness theorems
canonical distribution
metaphysics of quality