A Subject with No Object: Strategies for Nominalistic Interpretation of Mathematics

By John P. Burgess; Gideon Rosen | Go to book overview

Section Index
The first occurrence of any term used in the body of this book in a special or technical sense can be located with the aid of the following index. There it will be found printed in boldface type, and accompanied by an explanation of the sense in which it is being used. The index also gives the places where the works of the various authors cited are quoted or discussed. Locations are given by part, chapter, section, and article.
abstract vs. concrete I.A.0.a
accidental vs. essential II.B.2.b
actual/accidental, actual/essential, actual/hypothetical cross-comparison II.B.2.b
actuality operators in modal logic, see now operators
Adams, Ernest III.B.2.b
Adams, Marilyn I.A.1.b
adequate, empirically or nominalistically I.A.3
admissible coordinates II.A.2
affine geometry II.A.2
alethic notions I.A.2.d
algebraic axioms of analysis I.B.1.b
alienated vs. naturalized epistemology I.A.1.a
Alston, William III.C.2.a
analysis, conceptual I.A.1.b
analysis, mathematical I.B.1.b
analytic region II.A.5.b
analytic vs. synthetic, in mathematical sense II.A.0 , II.A.1.a; in philosophical sense I.A.2.a
analytically formulated theory I.B.3.d
apheremenological criterion III.C.2.a
applied vs. pure mathematics I.B.0 ; see also purely vs. mixedly mathematical
approximation I.B.1.a
Armstrong, David I.A.1.b
atomic Boolean algebra II.C.1.a
atomic formula I.B.0
atomic set II.C.1.a
autonomous temporal or modal logic II.B.1
axiom schemes I.B.0
Bacon, John III.A.2.b
basic vs. intermediate vs. higher geometry II.A.2
bathyontological commitment III.C.2.b
BD, see Borel determinacy
Benacerraf, Paul I.A.2.a
benchmarks II.A.3.a
Berkeley, George I.A.1.a
Bernays, Paul II.B.0
Bigelow, John III.B.2.c
bijective relation or function I.B.1.a
Bonevac, Daniel III.B.3.b
Boolean algebra II.C.1.a
Boolos, George II.C.0
Borel determinacy II.A.5.b
Borel sets I.B.1.a ; regions II.A.5.b
Bostock, David III.B.2.c
Boswell, James I.A.1.b
bound vs. free variable I.B.0
Bull, R. A. II.B.3.b
calculus of individuals, see mereology
canonical formalization II.B.1 ; regimentation III.C.2.a
Cantor, Georg I.A.1.b
Cantor's Theorem I.B.1.a
cardinal number I.B.1.a
cardinality quantifiers II.A.3.d
Carnap, Rudolf I.A.2.a
cases II.B.1.b
causal theory of knowledge I.A.2.a
CD, see co-analytic determinacy
characters with respect to an equivalence relation I.A.1.a
Chihara, Charles III.B.2.a
choice axiom, for sets I.B.0 ; for plethynticology II.C.1.b ; for mereology II.C.1.c
Church, Alonzo III.C.2.a
Church's Theorem, see Undecidability Theorem
class vs. set I.B.1.a

-253-

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A Subject with No Object: Strategies for Nominalistic Interpretation of Mathematics
Table of contents

Table of contents

  • A Subject with No Object iii
  • Preface v
  • Acknowledgements ix
  • Contents xi
  • Part I Philosophical and Technical Background 1
  • Part II Three Major Strategies 95
  • Part III Further Strategies and a Provisional Assessment 171
  • References 245
  • Section Index 253
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