Indexing and mathematical explanation

Philosophia Mathematica

Volumn 19, Issue 3, 2011, Pages 323-334

  Baker, Alan ^a   Colyvan, Mark ^b  

^a SWARTHMORE COLLEGE   (United States)

^b UNIVERSITY OF SYDNEY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 80054752032     PISSN: 00318019     EISSN: 17446406     Source Type: Journal    
DOI: 10.1093/philmat/nkr026     Document Type: Article

References (27)

1. Baker, Alan [2005]: 'Are there genuine mathematical explanations of physical phenomena?', Mind 114, 223-238
2. Baker, Alan [2009]: 'Mathematical explanation in science', British Journal for the Philosophy of Science 60, 611-633
3. Baker, Alan [forthcoming]: 'Science-driven mathematical explanation', Mind
4. Balaguer, Mark [1998]: Platonism and Anti-platonism in Mathematics. New York: Oxford University Press.
5. Batterman, Robert W. [2010]: 'On the explanatory role of mathematics in empirical science', British Journal for the Philosophy of Science 61, 1-25.
6. Bueno, Ot́avio, and Mark Colyvan [2011]: 'An inferential conception of the application of mathematics', Nôus 45, 345-374
7. Burgess, John P., and Gideon Rosen [1997]: A Subject with No Object: Strategies for Nominalistic Interpretation of Mathematics. Oxford: Oxford University Press.
8. Colyvan, Mark [2001]: The Indispensability of Mathematics. New York: Oxford University Press.
9. Colyvan, Mark [2002]: 'Mathematics and aesthetic considerations in science', Mind 111, 69-74
10. Colyvan, Mark [2007]: 'Mathematical recreation versus mathematical knowledge', in M. Leng, A. Paseau, and M. Potter, eds, Mathematical Knowledge, pp. 109-122. Oxford: Oxford University Press.
11. Colyvan, Mark [2009]: 'Applying inconsistent mathematics', in O. Bueno and Ø. Linnebo, eds, New Waves in Philosophy of Mathematics, pp. 160-172. Basingstoke, UK: Palgrave Macmillan.
12. Colyvan, Mark [2010]: 'There is no easy road to nominalism', Mind 119, 285-306
13. Colyvan, Mark [2012]: An Introduction to the Philosophy of Mathematics. Cambridge: Cambridge University Press.
14. Daly, Chris, and Simon Langford [2009]: 'Mathematical explanation and indispensability arguments', Philosophical Quarterly 59, 641-658
15. Gowers, Timothy, and Michael Neilson [2009]: 'Massively collaborative mathematics', Nature 461, 879-881
16. Kosniowski, Czes [1980]: A First Course in Algebraic Topology. Cambridge: Cambridge University Press.
17. Lehman-Ziebarth, Nicolas, Paul P. Heideman, Rebecca A. Shapiro, Sonia L. Stoddart, Chien Ching Lillian Hsiao, Gordon R. Stephenson, Paul A. Milewski, and Anthony R. Ives [2005]: 'Evolution of periodicity in periodical cicadas', Ecology 86, 3200-3211.
18. Leng, Mary [2005]: 'Mathematical explanation', in C. Cellucci and D. Gillies, eds, Mathematical Reasoning and Heuristics, pp. 167-189. London: King's College Publishing.
19. Lyon, Aidan, and Mark Colyvan [2008]: 'The explanatory power of phase spaces', Philosophia Mathematica (3) 16, 227-243
20. Malament, David [1982]: 'Review of Field's Science Without Numbers', Journal of Philosophy 79, 523-534
21. Mancosu, Paolo [2008]: 'Mathematical explanation: Why it matters', in P. Mancosu, ed., The Philosophy of Mathematical Practice, pp. 134-150. Oxford: Oxford University Press.
22. Mancosu, Paolo [2011]: 'Explanation in mathematics', in E.N. Zalta, ed., The Stanford Encyclopedia of Philosophy (Summer 2011 Edition). http://plato.stanford.edu/archives/sum2011/entries/mathematics-explanation/
23. Minio, Robert [1984]: 'An interview with Michael Atiyah', Mathematical Intelligencer 6, No. 1, 9-19.
24. Melia, Joseph [2000]: 'Weaseling away the indispensability argument', Mind 109, 455-479
25. Melia, Joseph [2002]: 'Reply to Colyvan', Mind 111, 75-79
26. Smart, J.J.C. [1990]: 'Explanation - Opening address', in D. Knowles, ed., Explanation and Its Limits, pp. 1-19. Cambridge: Cambridge University Press.
27. Steiner, Mark [1978]: 'Mathematics, explanation, and scientific knowledge', Nôus 12, 17-28