Scientific Realism and the Indispensability Argument for Mathematical Realism: A Marriage Made in Hell

References

• Azzouni , J. 2004 . Deflating existential consequence: A case for nominalism , New York : Oxford University Press .
   Google Scholar
• Baker , A. 2001 . Mathematics, indispensability and scientific progress . Erkenntnis , 55 : 85 – 116 .
   Google Scholar
• Baker , A. 2005 . Are there genuine mathematical explanations of physical phenomena? . Mind , 114 : 223 – 238 .
   Web of Science ®Google Scholar
• Baker , A. 2009 . Mathematical explanation in science . British Journal for the Philosophy of Science , 60 : 611 – 633 .
   Web of Science ®Google Scholar
• Bangu , S. I. 2008 . Inference to the best explanation and mathematical realism . Synthese , 160 : 13 – 20 .
   Google Scholar
• Busch , J. Forthcoming-a . Is the indispensability argument dispensable? . Theoria ,
   Google Scholar
• Busch , J. Forthcoming-b . Can the new indispensability argument be saved from Euclidean rescues? . Synthese ,
   Google Scholar
• Cartwright , N. 1983 . How the laws of physics lie , Oxford : Oxford University Press .
   Google Scholar
• Chakravartty , A. 1998 . Semirealism . Studies in History and Philosophy of Science , 29 : 391 – 408 .
   Google Scholar
• Chakravartty , A. 2007 . Knowing the unobservable , Cambridge : Cambridge University Press .
   Google Scholar
• Colyvan , M. 2001 . The indispensability of mathematics , New York : Oxford University Press .
   Google Scholar
• Colyvan , M. 2002 . Mathematics and aesthetic considerations in science . Mind , 111 : 69 – 78 .
   Web of Science ®Google Scholar
• Colyvan , M. 2006 . “ Scientific realism and mathematical nominalism: A marriage made in hell ” . In Rationality and reality: Conversations with Alan Musgrave , Edited by: Cheyne , C. and Worrall , J. 225 – 237 . Dordrecht : Kluwer .
   Google Scholar
• Devitt , M. 1997 . Realism and truth , 2 , Princeton, NJ : Princeton University Press .
   Google Scholar
• Field , H. 1989 . Realism, mathematics and modality , Oxford : Blackwell .
   Google Scholar
• Kitcher , P. 1981 . Explanatory unification . Philosophy of Science , 48 : 507 – 531 .
   Web of Science ®Google Scholar
• Kitcher , P. 1993 . The advancement of science: Science without legend, objectivity without illusions , Oxford : Oxford University Press .
   Google Scholar
• Leng , M. 2005 . “ Mathematical explanations ” . In Mathematical reasoning and heuristics , Edited by: Cellucci , C. and Gillies , D. 167 – 189 . London : King's College Publications .
   Google Scholar
• Lipton , P. 2004 . Inference to the best explanation , 2 , London : Routledge .
   Google Scholar
• Lyon , A. and Colyvan , M. 2008 . The explanatory power of phase space . Philosophia Mathematica , 16 : 227 – 243 .
   Web of Science ®Google Scholar
• Maddy , P. 1992 . Indispensability and practice . Journal of Philosophy , 89 : 275 – 289 .
   Web of Science ®Google Scholar
• Maddy , P. 1997 . Naturalism in mathematics , Oxford : Clarendon Press .
   Google Scholar
• Maddy , P. 2007 . Second philosophy: A naturalistic method , Oxford : Oxford University Press .
   Google Scholar
• Melia , J. 2000 . Weaseling away the indispensability argument . Mind , 109 : 455 – 479 .
   Web of Science ®Google Scholar
• Morrison , J. 2010 . Just how controversial is evidential holism? . Synthese , 173 : 335 – 352 .
   Google Scholar
• Papineau , D. 1993 . Philosophical naturalism , Oxford : Blackwell .
   Google Scholar
• Parsons , C. D. 1983 . Mathematics and philosophy , Ithaca, NY : Cornell University Press .
   Google Scholar
• Psillos , S. 1999 . Scientific realism: How science tracks truth , London : Routledge .
   Google Scholar
• Psillos , S. 2007 . The fine structure of inference to the best explanation . Philosophy and Phenomenological Research , 74 : 441 – 448 .
   Web of Science ®Google Scholar
• Putnam , H. 1978 . Meaning and the moral sciences , London : Routledge & Kegan Paul .
   Google Scholar
• Quine, W. V. O. 1981. Success and the limits of mathematization. In W. V. O. Quine, Theories and things, 148–155. Cambridge, MA: Harvard University Press
   Google Scholar
• Quine, W. V. O. 1986. Reply to Charles D. Parsons. In The philosophy of W. V. Quine, edited by L. E. Hahn and P. A. Schilpp, 396–403. Chicago, IL: Open Court
   Google Scholar
• Resnik , M. 1997 . Mathematics as a science of patterns , Oxford : Clarendon Press .
   Google Scholar
• Saatsi , J. 2005 . Reconsidering the Fresnel–Maxwell theory shift: How the realist can have her cake and EAT it too . Studies in History and Philosophy of Science , 36 : 509 – 538 .
   Google Scholar
• Saatsi , J. 2007 . Living in harmony: Nominalism and the explanationist argument for realism . International Studies in the Philosophy of Science , 21 : 19 – 33 .
   Google Scholar
• Sober , E. 1993 . Mathematics and indispensability . Philosophical Review , 102 : 35 – 58 .
   Google Scholar
• Sober , E. 2000 . Quine's two dogmas . Aristotelian Society Supplementary Volume , 74 : 237 – 280 .
   Google Scholar
• Worrall , J. 1989 . Structural realism: The best of both worlds? . Dialectica , 43 : 99 – 124 .
   Web of Science ®Google Scholar