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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

Hardcover Published: 25th February 1994
ISBN: 9780521442237
Number Of Pages: 264

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Jody Azzouni argues in this original and exciting study that mathematical knowledge really is a special kind of knowledge with its own special means of gathering evidence. 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 both sensitive to mathematical practice, and to the ontological and epistemological issues that concern philosophers.

"Azzouni's book is a well-conceived and worthwhile contribution. ...it is altogether closely argued, and stimulates serious reflection." Canadian Philosophical Reviews "Interesting, important and well worth reading." Mark Balaguer, Journal of Symbolic Logic "... this is a very interesting and stimulating book... I repeatedly return to it to study its ideas and arguments, and to test my own views against them" --Michael D. Resnik, Philosophia Mathematica "Metaphysical Myths is written in an engaging style and contains a wealth of informative references ... the book is rich with arguments that will more than repay careful study." --Philosophical Books

Acknowledgments
Mathematical Practice and Its Puzzles
Metaphysical Inertnessp. 3
Metaphysical Inertness and Referencep. 6
The Virtues of (Second-Order) Theftp. 11
Intuitions about Reference and Axiom Systemsp. 18
Comparing Mathematical Terms and Empirical Terms Ip. 31
Comparing Mathematical Terms and Empirical Terms IIp. 48
The Epistemic Role Puzzlep. 55
Benacerraf's Puzzlep. 58
Comparing Puzzlesp. 60
Quine's Approach Ip. 64
Quine's Approach IIp. 71
The Stuff of Mathematics: Posits and Algorithms
An Initial Picturep. 80
Application and Truthp. 88
Systems, Application, and Truthp. 94
Quine's Objections to Truth by Conventionp. 105
Grades of Ontological Commitmentp. 118
Multiply Interpreting Systemsp. 132
Intuitions about Reference Revisitedp. 139
The Geography of the a Priori
Algorithms Againp. 156
Some Observations on Metamathematicsp. 171
Incorrigible Co-empiricalnessp. 174
Why There Are No Incorrigible Co-empirical Truthsp. 192
Normative Considerations, the Success of Applied Mathematics, Concluding Thoughtsp. 204
Appendixp. 215
Bibliographyp. 236
Indexp. 246
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780521442237
ISBN-10: 0521442230
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 264
Published: 25th February 1994
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 22.8 x 15.2  x 1.9
Weight (kg): 0.56