{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,16]],"date-time":"2026-02-16T10:24:45Z","timestamp":1771237485211,"version":"3.50.1"},"publisher-location":"Cham","reference-count":35,"publisher":"Springer International Publishing","isbn-type":[{"value":"9783319043814","type":"print"},{"value":"9783319043821","type":"electronic"}],"license":[{"start":{"date-parts":[[2014,1,1]],"date-time":"2014-01-01T00:00:00Z","timestamp":1388534400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2014,1,1]],"date-time":"2014-01-01T00:00:00Z","timestamp":1388534400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2014]]},"DOI":"10.1007\/978-3-319-04382-1_5","type":"book-chapter","created":{"date-parts":[[2014,6,2]],"date-time":"2014-06-02T17:57:37Z","timestamp":1401731857000},"page":"63-73","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["The Undeniable Effectiveness of Mathematics in the Special Sciences"],"prefix":"10.1007","author":[{"given":"Mark","family":"Colyvan","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2014,4,21]]},"reference":[{"issue":"2","key":"5_CR1","doi-asserted-by":"publisher","first-page":"209","DOI":"10.5840\/monist20008327","volume":"83","author":"J. Azzouni","year":"2000","unstructured":"Azzouni, J. 2000. Applying mathematics: An attempt to design a philosophical problem. Monist 83(2): 209\u2013227.","journal-title":"Monist"},{"issue":"454","key":"5_CR2","doi-asserted-by":"publisher","first-page":"223","DOI":"10.1093\/mind\/fzi223","volume":"114","author":"A. Baker","year":"2005","unstructured":"Baker, A. 2005. Are there genuine mathematical explanations of physical phenomena? Mind 114(454): 223\u2013238.","journal-title":"Mind"},{"key":"5_CR3","doi-asserted-by":"publisher","first-page":"611","DOI":"10.1093\/bjps\/axp025","volume":"60","author":"A. Baker","year":"2009","unstructured":"Baker, A. 2009. Mathematical explanation in science. The British Journal for the Philosophy of Science 60: 611\u2013633.","journal-title":"The British Journal for the Philosophy of Science"},{"issue":"1","key":"5_CR4","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1093\/bjps\/axp018","volume":"61","author":"R.W. Batterman","year":"2010","unstructured":"Batterman, R.W. 2010. On the explanatory role of mathematics in empirical science. The British Journal of Philosophy of Science 61(1): 1\u201325.","journal-title":"The British Journal of Philosophy of Science"},{"key":"5_CR5","volume-title":"Elementary differential equations and boundary value problems","author":"W.E. Boyce","year":"1986","unstructured":"Boyce, W.E., and R.C. DiPrima. 1986. Elementary differential equations and boundary value problems, 4th ed. New York: Wiley.","edition":"4"},{"issue":"2","key":"5_CR6","doi-asserted-by":"publisher","first-page":"345","DOI":"10.1111\/j.1468-0068.2010.00772.x","volume":"45","author":"O. Bueno","year":"2011","unstructured":"Bueno, O., and M. Colyvan. 2011. An inferential conception of the application of mathematics. No\u00fbs 45(2): 345\u2013374.","journal-title":"No\u00fbs"},{"key":"5_CR7","doi-asserted-by":"crossref","unstructured":"Cohen, J.E. 1971. Mathematics as metaphor. Science 172(14 May): 674\u2013675.","DOI":"10.1126\/science.172.3984.674"},{"issue":"1","key":"5_CR8","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1023\/A:1004248218844","volume":"19","author":"M. Colyvan","year":"1999","unstructured":"Colyvan, M. 1999. Confirmation theory and indispensability. Philosophical Studies 19(1): 1\u201319.","journal-title":"Philosophical Studies"},{"key":"5_CR9","doi-asserted-by":"publisher","DOI":"10.1093\/019513754X.001.0001","volume-title":"The indispensability of mathematics","author":"M. Colyvan","year":"2001","unstructured":"Colyvan, M. 2001a. The indispensability of mathematics. New York: Oxford University Press."},{"issue":"3","key":"5_CR10","doi-asserted-by":"publisher","first-page":"265","DOI":"10.1023\/A:1010309227321","volume":"127","author":"M. Colyvan","year":"2001","unstructured":"Colyvan, M. 2001b. The miracle of applied mathematics. Synthese 127(3): 265\u2013278.","journal-title":"Synthese"},{"issue":"441","key":"5_CR11","doi-asserted-by":"publisher","first-page":"69","DOI":"10.1093\/mind\/111.441.69","volume":"111","author":"M. Colyvan","year":"2002","unstructured":"Colyvan, M. 2002. Mathematics and aesthetic considerations in science. Mind 111(441): 69\u201374.","journal-title":"Mind"},{"key":"5_CR12","doi-asserted-by":"crossref","unstructured":"Colyvan, M. 2009. Applying inconsistent mathematics. In New waves in philosophy of mathematics, ed. O. Bueno and \u00d8. Linnebo, 160\u2013172. Basingstoke: Palgrave MacMillan. Repr., In The best writing on mathematics 2010, ed. M. Pitici (2011), 346\u2013357. Princeton: Princeton University Press.","DOI":"10.1515\/9781400836123-030"},{"issue":"474","key":"5_CR13","doi-asserted-by":"publisher","first-page":"285","DOI":"10.1093\/mind\/fzq014","volume":"119","author":"M. Colyvan","year":"2010","unstructured":"Colyvan, M. 2010. There is no easy road to nominalism. Mind 119(474): 285\u2013306.","journal-title":"Mind"},{"issue":"3","key":"5_CR14","doi-asserted-by":"publisher","first-page":"401","DOI":"10.1023\/A:1024121002194","volume":"18","author":"M. Colyvan","year":"2003","unstructured":"Colyvan, M., and L.R. Ginzburg. 2003. The galilean turn in ecology. Biology and Philosophy 18(3): 401\u2013414.","journal-title":"Biology and Philosophy"},{"issue":"2","key":"5_CR15","doi-asserted-by":"publisher","first-page":"171","DOI":"10.1086\/652321","volume":"85","author":"M. Colyvan","year":"2010","unstructured":"Colyvan, M., and L.R. Ginzburg. 2010. Analogical thinking in ecology. Quarterly Review of Biology 85(2): 171\u2013182.","journal-title":"Quarterly Review of Biology"},{"issue":"3","key":"5_CR16","doi-asserted-by":"crossref","first-page":"233","DOI":"10.2307\/20166525","volume":"67","author":"F.E. Egler","year":"1986","unstructured":"Egler, F.E. 1986. Physics envy in ecology. Bulletin of the Ecological Society of America 67(3): 233\u2013235.","journal-title":"Bulletin of the Ecological Society of America"},{"key":"5_CR17","volume-title":"In Translations from the philosophical writings of gottlob frege, ed","author":"G. Frege","year":"1970","unstructured":"Frege, G. 1970. In Translations from the philosophical writings of gottlob frege, ed. P. Geach and M. Black. Cambridge: Blackwell."},{"key":"5_CR18","volume-title":"Ecological orbits: How planets move and populations grow","author":"L. Ginzburg","year":"2004","unstructured":"Ginzburg, L., and M. Colyvan. 2004. Ecological orbits: How planets move and populations grow. Oxford: Oxford University Press."},{"key":"5_CR19","volume-title":"A primer of ecology","author":"N.J. Gotelli","year":"2001","unstructured":"Gotelli, N.J. 2001. A primer of ecology, 3rd ed. Sunderland: Sinauer Associates.","edition":"3"},{"issue":"3","key":"5_CR20","doi-asserted-by":"publisher","first-page":"7","DOI":"10.1007\/BF02985373","volume":"30","author":"I. Grattan-Guinness","year":"2008","unstructured":"Grattan-Guinness, I. 2008. Solving Wigner\u2019s mystery: The reasonable (though perhaps limited) effectiveness of mathematics in the natural sciences. The Mathematical Intelligencer 30(3): 7\u201317.","journal-title":"The Mathematical Intelligencer"},{"key":"5_CR21","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s004540010071","volume":"25","author":"T.C. Hales","year":"2001","unstructured":"Hales, T.C. 2001. The honeycomb conjecture. Discrete Computational Geometry 25: 1\u201322.","journal-title":"Discrete Computational Geometry"},{"key":"5_CR22","doi-asserted-by":"publisher","first-page":"81","DOI":"10.2307\/2321982","volume":"87","author":"R.W. Hamming","year":"1980","unstructured":"Hamming, R.W. 1980. The unreasonable effectiveness of mathematics. American Mathematics Monthly 87: 81\u201390.","journal-title":"American Mathematics Monthly"},{"key":"5_CR23","doi-asserted-by":"publisher","first-page":"1117","DOI":"10.1098\/rstb.2008.0292","volume":"364","author":"P. Inchausti","year":"2009","unstructured":"Inchausti, P., and L.R. Ginzburg. 2009. Maternal effects mechanism of population cycling: A formidable competitor to the traditional predator-prey view. Philosophical Transactions of the Royal Society B 364: 1117\u20131124.","journal-title":"Philosophical Transactions of the Royal Society B"},{"key":"5_CR24","first-page":"37","volume":"10","author":"G. Israel","year":"1988","unstructured":"Israel, G. 1988. On the contribution of Volterra and Lotka to the development of modern biomathematics. History and Philosophy of the Life Sciences 10: 37\u201349.","journal-title":"History and Philosophy of the Life Sciences"},{"key":"5_CR25","volume-title":"Modelling nature: Episodes in the history of population ecology","author":"S.E. Kingsland","year":"1985","unstructured":"Kingsland, S.E. 1985. Modelling nature: Episodes in the history of population ecology. Chicago: University of Chicago Press."},{"key":"5_CR26","first-page":"421","volume":"54","author":"R. Levins","year":"1966","unstructured":"Levins, R. 1966. The strategy of model building in population biology. American Scientist 54: 421\u2013431.","journal-title":"American Scientist"},{"issue":"3","key":"5_CR27","first-page":"227","volume":"16","author":"A. Lyon","year":"2008","unstructured":"Lyon, A., and M. Colyvan. 2008. The explanatory power of phase spaces. Philosophia Mathematica 16(3): 227\u2013243.","journal-title":"Philosophia Mathematica"},{"key":"5_CR28","doi-asserted-by":"crossref","unstructured":"May, R.M. 2004. Uses and abuses of mathematics in biology. Science 303(6 February): 790\u2013793.","DOI":"10.1126\/science.1094442"},{"key":"5_CR29","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511559990","volume-title":"More heat than light: Economics as social physics, physics as nature\u2019s economics","author":"P. Mirowski","year":"1989","unstructured":"Mirowski, P. 1989. More heat than light: Economics as social physics, physics as nature\u2019s economics. Cambridge: Cambridge University Press."},{"key":"5_CR30","doi-asserted-by":"publisher","DOI":"10.4324\/9780203169308","volume-title":"Explaining explanation","author":"D.H. Ruben","year":"1990","unstructured":"Ruben, D.H. 1990. Explaining explanation. London: Routledge."},{"key":"5_CR31","volume-title":"Explanation and its limits","author":"J.J.C. Smart","year":"1990","unstructured":"Smart, J.J.C. 1990. Explanation-opening address. In Explanation and its limits, ed. D. Knowles. Cambridge: Cambridge University Press."},{"key":"5_CR32","doi-asserted-by":"publisher","first-page":"201","DOI":"10.1007\/BF00372383","volume":"43","author":"E. Sober","year":"1983","unstructured":"Sober, E. 1983. Equilibrium explanation. Philosophical Studies 43: 201\u2013210.","journal-title":"Philosophical Studies"},{"key":"5_CR33","doi-asserted-by":"crossref","DOI":"10.4159\/9780674043985","volume-title":"The applicability of mathematics as a philosophical problem","author":"M. Steiner","year":"1998","unstructured":"Steiner, M. 1998. The applicability of mathematics as a philosophical problem. Cambridge: Harvard University Press."},{"key":"5_CR34","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1002\/cpa.3160130102","volume":"13","author":"E.P. Wigner","year":"1960","unstructured":"Wigner, E.P. 1960. The unreasonable effectiveness of mathematics in the natural sciences. Communications on Pure and Applied Mathematics 13: 1\u201314.","journal-title":"Communications on Pure and Applied Mathematics"},{"issue":"2","key":"5_CR35","doi-asserted-by":"publisher","first-page":"296","DOI":"10.5840\/monist200083217","volume":"83","author":"M. Wilson","year":"2000","unstructured":"Wilson, M. 2000. The unreasonable uncooperativeness of mathematics in the natural sciences. Monist 83(2): 296\u2013394.","journal-title":"Monist"}],"container-title":["New Directions in the Philosophy of Science"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-04382-1_5","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,2,20]],"date-time":"2023-02-20T04:37:59Z","timestamp":1676867879000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-319-04382-1_5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014]]},"ISBN":["9783319043814","9783319043821"],"references-count":35,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-04382-1_5","relation":{},"subject":[],"published":{"date-parts":[[2014]]},"assertion":[{"value":"21 April 2014","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}}]}}