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dc.contributor.authorYablo, Stephen
dc.date.accessioned2014-03-14T18:40:44Z
dc.date.available2014-03-14T18:40:44Z
dc.date.issued2012-10
dc.identifier.issn0026-4423
dc.identifier.issn1460-2113
dc.identifier.urihttp://hdl.handle.net/1721.1/85648
dc.description.abstractMark Colyvan (2010) raises two problems for ‘easy road’ nominalism about mathematical objects. The first is that a theory’s mathematical commitments may run too deep to permit the extraction of nominalistic content. Taking the math out is, or could be, like taking the hobbits out of Lord of the Rings. I agree with the ‘could be’, but not (or not yet) the ‘is’. A notion of logical subtraction is developed that supports the possibility, questioned by Colyvan, of bracketing a theory’s mathematical aspects to obtain, as remainder, what it says ‘mathematics aside’. The other problem concerns explanation. Several grades of mathematical involvement in physical explanation are distinguished, by analogy with Quine’s three grades of modal involvement. The first two grades plausibly obtain, but they do not require mathematical objects. The third grade is likelier to require mathematical objects. But it is not clear from Colyvan’s example that the third grade really obtains.en_US
dc.language.isoen_US
dc.publisherOxford University Pressen_US
dc.relation.isversionofhttp://dx.doi.org/10.1093/mind/fzs120en_US
dc.rightsCreative Commons Attribution-Noncommercial-Share Alikeen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/4.0/en_US
dc.sourceMIT web domainen_US
dc.titleExplanation, Extrapolation, and Existenceen_US
dc.typeArticleen_US
dc.identifier.citationYablo, S. “Explanation, Extrapolation, and Existence.” Mind 121, no. 484 (October 1, 2012): 1007–1029.en_US
dc.contributor.departmentMassachusetts Institute of Technology. Department of Linguistics and Philosophyen_US
dc.contributor.mitauthorYablo, Stephenen_US
dc.relation.journalMinden_US
dc.eprint.versionAuthor's final manuscripten_US
dc.type.urihttp://purl.org/eprint/type/JournalArticleen_US
eprint.statushttp://purl.org/eprint/status/PeerRevieweden_US
dspace.orderedauthorsYablo, S.en_US
dc.identifier.orcidhttps://orcid.org/0000-0002-9486-8323
mit.licenseOPEN_ACCESS_POLICYen_US


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