caa a22 4500 397497849 CHVBK 20180308164525.0 cr unu---uuuuu 161202e199505 xx s 000 0 eng 10.1093/philmat/3.2.129 doi (NATIONALLICENCE)oxford-10.1093/philmat/3.2.129 STEINER MARK Department of Philosophy, Hebrew University Jerusalem, Israel marksa@hujivms.huji.ac.il The Applicabilities of Mathematics [Elektronische Daten] [MARK STEINER] Discussions of the applicability of mathematics in the natural sciences have been flawed by failure to realize that there are multiple senses in which mathematics can be ‘applied' and, correspondingly, multiple problems that stem from the applicability of mathematics. I discuss semantic, metaphysical, descriptive, and and epistemological problems of mathematical applicability, dwelling on Frege's contribution to the solution of the first two types. As for the remaining problems, I discuss the contributions of Hartry Field and Eugene Wigner. Finally, I argue that there are epistemological problems concerning the applicability of mathematics that nobody in the philosophical community has yet confronted, though the problems are well known to physicists. © Oxford University Press Articles nationallicence Philosophia Mathematica Oxford University Press 3/2(1995-05), 129-156 0031-8019 3:2<129 1995 3 philmat https://doi.org/10.1093/philmat/3.2.129 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1093/philmat/3.2.129 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- STEINER MARK Department of Philosophy, Hebrew University Jerusalem, Israel marksa@hujivms.huji.ac.il NATIONALLICENCE 773 0- Philosophia Mathematica Oxford University Press 3/2(1995-05), 129-156 0031-8019 3:2<129 1995 3 philmat Metadata rights reserved CC BY-NC-4.0 http://creativecommons.org/licenses/by-nc/4.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-oxford