Tracking Reason: Proof, Consequence, and Truth

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As with most of Azzouni's writings, apparently, this book spans topics in metaphysics, logic, philosophy of mathematics and semantics, and should be of interest to anyone working in either of those disciplines. It could, with some justification, be claimed that this broad interests is also one of the weaknesses of the book - not that Azzouni necessarily tries to bite more than he can chew, but the book displays a certain tendency to be slightly all over the place - at once. The first part argues for a certain kind of deflationism about truth, and spends much time on the exact regimentation needed (especially defining his anaphorically unrestricted quantifiers able to quantify into both sentential and nominal positions), including an interesting but perhaps not wholly convincing take on the semantic paradoxes. The second part is devoted to the role of mathematical proof, and the third part brings the previous two together (sort of) in an account of consequence as truth-preservation. To me, part I is the most important - it advocates views which might sound, at first, quite - shall we say - idiosyncratic, but Azzouni's arguments are penetrating and thought-provoking and whether or not they are successful, at least brings several new and important considerations to the issues. On the whole, this is an entertaining and well-written book - but it has a tendency to go off on all sorts of slightly tangential issues (again, at once!), and it is sometimes a little unclear exactly where we are located in the flow of arguments. Still, this is a refreshing, thought-provoking and valuable addition to the topics. And note: Whatever way you usually read books: Do not miss the footnotes here! Often, important steps are, for some reason or other, relegated to footnotes, and crucial distinctions sometimes appear here rather than in the main text.

Author(s): Jody Azzouni
Publisher: Oxford University Press, USA
Year: 2005

Language: English
Pages: 256

Contents......Page 7
General Introduction......Page 11
Part I. Truth......Page 15
Introduction to Part I......Page 17
1 Truth and Truth Conditions......Page 21
2 The Transcendence of Truth......Page 45
3 Anaphorically Unrestricted Quantifiers......Page 68
4 Regimentation and Paradox......Page 82
5 The Inconsistency of Natural Languages......Page 100
Conclusion to Part I......Page 117
Part II. Mathematical Proof......Page 123
Introduction to Part II......Page 125
6 The Uniqueness of Mathematics as a Social Practice......Page 131
7 The Derivation-Indicator View of Mathematical Practice......Page 148
8 How to Nominalize Formalism......Page 176
Conclusion to Part II......Page 194
Part III. Semantics and the Notion of Consequence......Page 197
Introduction to Part III......Page 199
9 Semantics and the Notion of Consequence......Page 202
Conclusion to Part III......Page 229
General Conclusion......Page 237
Bibliography......Page 239
B......Page 247
D......Page 248
F......Page 249
L......Page 250
M......Page 251
P......Page 252
R......Page 253
T......Page 254
W......Page 255
Z......Page 256