The metaphysics of logic

280 Pages·2014·2.16 MB·English

by  Rush

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
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pages cm
Includesbibliographicalreferencesandindex.
isbn978-1-107-03964-3(Hardback)
1. Logic. 2. Metaphysics. I. Rush,Penelope,1972–editor.
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isbn978-1-107-03964-3Hardback
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URLsforexternalorthird-partyinternetwebsitesreferredtointhispublication,
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With thanks to Graham Priest for
unstinting encouragement,
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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