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
Resource Information
The item Metaphysical myths, mathematical practice : the ontology and epistemology of the exact sciences, Jody Azzouni represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.This item is available to borrow from 1 library branch.
Resource Information
The item Metaphysical myths, mathematical practice : the ontology and epistemology of the exact sciences, Jody Azzouni represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.
This item is available to borrow from 1 library branch.
 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
 Language
 eng
 Extent
 ix, 249 p.
 Contents

 Acknowledgments
 Pt. I.
 Mathematical Practice and Its Puzzles
 1.
 Metaphysical Inertness.
 p. 3
 2.
 Metaphysical Inertness and Reference.
 p. 6
 3.
 Virtues of (SecondOrder) 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 Coempiricalness.
 p. 174
 5.
 Why There Are No Incorrigible Coempirical Truths.
 p. 192
 6.
 Normative Considerations, the Success of Applied Mathematics, Concluding Thoughts.
 p. 204
 Appendix.
 p. 215
 Bibliography.
 p. 236
 Index.
 p. 246
 Isbn
 9780521442237
 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
 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
 Bibliography note
 Includes bibliographical references (p. 235244) 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 (SecondOrder) 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 Coempiricalness.
 p. 174
 5.
 Why There Are No Incorrigible Coempirical 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
 Bibliography note
 Includes bibliographical references (p. 235244) 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 (SecondOrder) 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 Coempiricalness.
 p. 174
 5.
 Why There Are No Incorrigible Coempirical 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
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