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135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 14$aThe indispensability of mathematics /$fMark Colyvan
205   $a1st ed.
210   $aOxford ;$aNew York $cOxford University Press$d2001
215   $a1 online resource (viii, 172 pages)
300   $aDescription based upon print version of record.
311 08$a0-19-513754-X 
311 08$a0-19-516661-2 
320   $aIncludes bibliographical references (p. 157-167) and index.
327   $a""Contents""; ""1 Mathematics and Its Applications""; ""1.1 Realism and Anti-realism in Mathematics""; ""1.2 Indispensability Arguments""; ""1.3 The Road Ahead""; ""2 The Quinean Backdrop""; ""2.1 Introducing Naturalism""; ""2.2 Quinean Naturalism""; ""2.3 The Methodologies of Philosophy and Science""; ""2.4 The Causal Version of Naturalism""; ""2.5 Holism""; ""2.6 The First Premise Revisited""; ""3 The Eleatic Principle""; ""3.1 The Inductive Argument""; ""3.2 The Epistemic Argument""; ""3.3 The Argument from Causal Explanation""; ""3.4 Causal Relevance""
327   $a""3.5 Rejecting Inference to the Best Explanation""""3.6 The Content of Scientific Theories""; ""3.7 The Moral""; ""3.8 Recapitulation""; ""4 Field's Fictionalism""; ""4.1 The Science without Numbers Project""; ""4.2 What Is It to Be Indispensable?""; ""4.3 The Role of Confirmation Theory""; ""4.4 The Role of Mathematics in Physical Theories""; ""4.5 Review of Field's Fictionalism""; ""5 Maddy's Objections""; ""5.1 The Objections""; ""5.2 Maddy's Naturalism""; ""5.3 Defending the Indispensability Argument""; ""5.4 Review of Maddy's Objections""
327   $a""6 The Empirical Nature of Mathematical Knowledge""""6.1 The Obviousness of Some Mathematical Truth""; ""6.2 The Unfalsifiability of Mathematics""; ""6.3 The Sober Objection""; ""6.4 Is Mathematics Contingent?""; ""7 Conclusion""; ""7.1 What the Argument Doesn't Show""; ""7.2 The Benacerraf Challenges""; ""7.3 A Slippery Slope?""; ""Bibliography""; ""Index""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I""; ""J""; ""K""; ""L""; ""M""; ""N""; ""O""; ""P""; ""Q""; ""R""; ""S""; ""T""; ""U""; ""V""; ""W""; ""Z""
330 8 $aThe Quine-Putnam indispensability argument in the philosophy of mathematics urges us to place mathematical entities on the same ontological footing as other theoretical entities indispenable to certain scientific theories. This text examines the issues.
606   $aMathematics$xHistory
606   $aMathematics$xPhilosophy
615  0$aMathematics$xHistory.
615  0$aMathematics$xPhilosophy.
676   $a510
700   $aColyvan$b Mark$0734259
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906   $aBOOK
912   $a9910969797003321
996   $aThe indispensability of mathematics$94456685
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