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The Resource Metaphysical myths, mathematical practice : the ontology and epistemology of the exact sciences, Jody Azzouni

Metaphysical myths, mathematical practice : the ontology and epistemology of the exact sciences, Jody Azzouni

Label
Metaphysical myths, mathematical practice : the ontology and epistemology of the exact sciences
Title
Metaphysical myths, mathematical practice
Title remainder
the ontology and epistemology of the exact sciences
Statement of responsibility
Jody Azzouni
Creator
Subject
Language
eng
Summary
"This original and exciting study offers a completely new perspective on the philosophy of mathematics. Most philosophers of mathematics try to show either that the sort of knowledge mathematicians have is similar to the sort of knowledge specialists in the empirical sciences have or that the kind of knowledge mathematicians have, although apparently about objects such as numbers, sets, and so on, isn't really about those sorts of things at all." "Jody Azzouni argues that mathematical knowledge is a special kind of knowledge that must be gathered in its own unique way. He analyzes the linguistic pitfalls and misperceptions philosophers in this field are often prone to, and explores the misapplications of epistemic principles from the empirical sciences to the exact sciences. What emerges is a picture of mathematics sensitive both to mathematical practice and to the ontological and epistemological issues that concern philosophers." "The book will be of special interest to philosophers of science, mathematics, logic, and language. It should also interest mathematicians themselves."--BOOK JACKET
Cataloging source
DLC
http://library.link/vocab/creatorName
Azzouni, Jody
Index
index present
LC call number
QA8.4
LC item number
.A98 1994
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/subjectName
Mathematics
Label
Metaphysical myths, mathematical practice : the ontology and epistemology of the exact sciences, Jody Azzouni
Instantiates
Publication
Bibliography note
Includes bibliographical references (p. 235-244) and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Acknowledgments
  • Pt. I.
  • Mathematical Practice and Its Puzzles
  • 1.
  • Metaphysical Inertness.
  • p. 3
  • 2.
  • Metaphysical Inertness and Reference.
  • p. 6
  • 3.
  • Virtues of (Second-Order) Theft.
  • p. 11
  • 4.
  • Intuitions about Reference and Axiom Systems.
  • p. 18
  • 5.
  • Comparing Mathematical Terms and Empirical Terms I.
  • p. 31
  • 6.
  • Comparing Mathematical Terms and Empirical Terms II.
  • p. 48
  • 7.
  • Epistemic Role Puzzle.
  • p. 55
  • 8.
  • Benacerraf's Puzzle.
  • p. 58
  • 9.
  • Comparing Puzzles.
  • p. 60
  • 10.
  • Quine's Approach I.
  • p. 64
  • 11.
  • Quine's Approach II.
  • p. 71
  • Pt. II.
  • Stuff of Mathematics: Posits and Algorithms
  • 2.
  • Initial Picture.
  • p. 80
  • 3.
  • Application and Truth.
  • p. 88
  • 4.
  • Systems, Application, and Truth.
  • p. 94
  • 5.
  • Quine's Objections to Truth by Convention.
  • p. 105
  • 6.
  • Grades of Ontological Commitment.
  • p. 118
  • 7.
  • Multiply Interpreting Systems.
  • p. 132
  • 8.
  • Intuitions about Reference Revisited.
  • p. 139
  • Pt. III.
  • Geography of the a Priori
  • 2.
  • Algorithms Again.
  • p. 156
  • 3.
  • Some Observations on Metamathematics.
  • p. 171
  • 4.
  • Incorrigible Co-empiricalness.
  • p. 174
  • 5.
  • Why There Are No Incorrigible Co-empirical Truths.
  • p. 192
  • 6.
  • Normative Considerations, the Success of Applied Mathematics, Concluding Thoughts.
  • p. 204
  • Appendix.
  • p. 215
  • Bibliography.
  • p. 236
  • Index.
  • p. 246
Control code
ocm28026812
Dimensions
24 cm.
Extent
ix, 249 p.
Isbn
9780521442237
Lccn
93017660
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Label
Metaphysical myths, mathematical practice : the ontology and epistemology of the exact sciences, Jody Azzouni
Publication
Bibliography note
Includes bibliographical references (p. 235-244) and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
  • Acknowledgments
  • Pt. I.
  • Mathematical Practice and Its Puzzles
  • 1.
  • Metaphysical Inertness.
  • p. 3
  • 2.
  • Metaphysical Inertness and Reference.
  • p. 6
  • 3.
  • Virtues of (Second-Order) Theft.
  • p. 11
  • 4.
  • Intuitions about Reference and Axiom Systems.
  • p. 18
  • 5.
  • Comparing Mathematical Terms and Empirical Terms I.
  • p. 31
  • 6.
  • Comparing Mathematical Terms and Empirical Terms II.
  • p. 48
  • 7.
  • Epistemic Role Puzzle.
  • p. 55
  • 8.
  • Benacerraf's Puzzle.
  • p. 58
  • 9.
  • Comparing Puzzles.
  • p. 60
  • 10.
  • Quine's Approach I.
  • p. 64
  • 11.
  • Quine's Approach II.
  • p. 71
  • Pt. II.
  • Stuff of Mathematics: Posits and Algorithms
  • 2.
  • Initial Picture.
  • p. 80
  • 3.
  • Application and Truth.
  • p. 88
  • 4.
  • Systems, Application, and Truth.
  • p. 94
  • 5.
  • Quine's Objections to Truth by Convention.
  • p. 105
  • 6.
  • Grades of Ontological Commitment.
  • p. 118
  • 7.
  • Multiply Interpreting Systems.
  • p. 132
  • 8.
  • Intuitions about Reference Revisited.
  • p. 139
  • Pt. III.
  • Geography of the a Priori
  • 2.
  • Algorithms Again.
  • p. 156
  • 3.
  • Some Observations on Metamathematics.
  • p. 171
  • 4.
  • Incorrigible Co-empiricalness.
  • p. 174
  • 5.
  • Why There Are No Incorrigible Co-empirical Truths.
  • p. 192
  • 6.
  • Normative Considerations, the Success of Applied Mathematics, Concluding Thoughts.
  • p. 204
  • Appendix.
  • p. 215
  • Bibliography.
  • p. 236
  • Index.
  • p. 246
Control code
ocm28026812
Dimensions
24 cm.
Extent
ix, 249 p.
Isbn
9780521442237
Lccn
93017660
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n

Library Locations

    • Brunswick Library StoreBorrow it
      Liverpool, GB
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