The Metaphysics of Logic PDF
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THE METAPHYSICS OF LOGIC Featuring fourteen new essays from an international team of renownedcontributors,thisvolumeexplores thekeyissues, debates, andquestionsinthemetaphysicsoflogic.Thebookisstructuredin threeparts,lookingfirstatthemainpositionsinthenatureoflogic, suchasrealism,pluralism,relativism,objectivity,nihilism,conceptu- alism,andconventionalism,thenfocusingonhistoricaltopicssuchas themedievalAristotelianviewoflogic,theproblemofuniversals,and Bolzano’slogicalrealism.Thefinalsectiontacklesspecificissuessuch as glutty theories, contradiction, the metaphysical conception of logical truth, and the possible revision of logic. The volume will providereaderswitharichandwide-rangingsurvey,avaluabledigest of the many views in this area, and a long overdue investigation of logic’srelationshiptousandtheworld.Itwillbeofinteresttoawide rangeofscholarsandstudentsofphilosophy,logic,andmathematics. penelope rush is Honorary Associate with the School of PhilosophyandOnlineLecturerforStudentLearningattheUniver- sity of Tasmania. She has published articles in journals including Logic and Logical Philosophy, Review of Symbolic Logic, South African Journal of Philosophy, Studia Philosophica Estonica, and Logique et Analyse. She is also the author of The Paradoxes of Mathematical, Logical, and Scientific Realism (forthcoming). THE METAPHYSICS OF LOGIC edited by PENELOPE RUSH UniversityofTasmania UniversityPrintingHouse,Cambridgecb28bs,UnitedKingdom CambridgeUniversityPressispartoftheUniversityofCambridge. ItfurtherstheUniversity’smissionbydisseminatingknowledgeinthepursuitof education,learningandresearchatthehighestinternationallevelsofexcellence. www.cambridge.org Informationonthistitle:www.cambridge.org/9781107039643 ©CambridgeUniversityPress2014 Thispublicationisincopyright.Subjecttostatutoryexception andtotheprovisionsofrelevantcollectivelicensingagreements, noreproductionofanypartmaytakeplacewithoutthewritten permissionofCambridgeUniversityPress. Firstpublished2014 PrintedintheUnitedKingdombyClays,StIvesplc AcataloguerecordforthispublicationisavailablefromtheBritishLibrary LibraryofCongressCataloginginPublicationdata Themetaphysicsoflogic/editedbyPenelopeRush,UniversityofTasmania. pages cm Includesbibliographicalreferencesandindex. isbn978-1-107-03964-3(Hardback) 1. Logic. 2. Metaphysics. I. Rush,Penelope,1972–editor. bc50.m442014 160–dc23 2014021604 isbn978-1-107-03964-3Hardback CambridgeUniversityPresshasnoresponsibilityforthepersistenceoraccuracyof URLsforexternalorthird-partyinternetwebsitesreferredtointhispublication, anddoesnotguaranteethatanycontentonsuchwebsitesis,orwillremain, accurateorappropriate. With thanks to Graham Priest for unstinting encouragement, – and to Annwen and Callum never give up. Contents List of contributors page ix Introduction 1 PenelopeRush part i the main positions 11 1 Logical realism 13 Penelope Rush 2 A defense of logical conventionalism 32 Jody Azzouni 3 Pluralism, relativism, and objectivity 49 StewartShapiro 4 Logic, mathematics, and conceptual structuralism 72 Solomon Feferman 5 A Second Philosophy of logic 93 Penelope Maddy 6 Logical nihilism 109 Curtis Franks 7 Wittgenstein and the covert Platonism of mathematical logic 128 Mark Steiner part ii history and authors 145 8 Logic and its objects: a medieval Aristotelian view 147 Paul Thom vii viii Contents 9 The problem of universals and the subject matter of logic 160 GyulaKlima 10 Logics and worlds 178 ErmannoBencivenga 11 Bolzano’s logical realism 189 Sandra Lapointe part iii specific issues 209 12 Revising logic 211 Graham Priest 13 Glutty theories and the logic of antinomies 224 Jc Beall, Michael Hughes, and Ross Vandegrift 14 The metaphysical interpretation of logical truth 233 TuomasE. Tahko References 249 Index 264
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