| Truth and Assertibility Contributor(s): Nik Weaver (Author) |
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ISBN: 9814619957 ISBN-13: 9789814619950 Publisher: World Scientific Publishing Company OUR PRICE: $93.10 Product Type: Hardcover - Other Formats Published: May 2015 |
| Additional Information |
| BISAC Categories: - Mathematics | Logic - Mathematics | Set Theory - Mathematics | History & Philosophy |
| Dewey: 510.1 |
| LCCN: 2015007707 |
| Physical Information: 0.5" H x 6" W x 9" (0.98 lbs) 204 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: The book is a research monograph on the notions of truth and assertibility as they relate to the foundations of mathematics. It is aimed at a general mathematical and philosophical audience. The central novelty is an axiomatic treatment of the concept of assertibility. This provides us with a device that can be used to handle difficulties that have plagued philosophical logic for over a century. Two examples relate to Frege's formulation of second-order logic and Tarski's characterization of truth predicates for formal languages. Both are widely recognized as fundamental advances, but both are also seen as being seriously flawed: Frege's system, as Russell showed, is inconsistent, and Tarski's definition fails to capture the compositionality of truth. A formal assertibility predicate can be used to repair both problems. The repairs are technically interesting and conceptually compelling. The approach in this book will be of interest not only for the uses the author has put it to, but also as a flexible tool that may have many more applications in logic and the foundations of mathematics. |