This book is about ?diamond?, a logic of paradox. In diamond, a statement can be true yet false; an ?imaginary? state, midway between being and non-being. Diamond's imaginary values solve many logical paradoxes unsolvable in two-valued Boolean logic. In this volume, paradoxes by Russell, Cantor, Berry and Zeno are all resolved. This book has three sections: Paradox Logic, which covers the classic paradoxes of mathematical logic, shows how they can be resolved in this new system; The Second Paradox, which relates diamond to Boolean logic and the Spencer?Brown ?modulator?; and Metamathematical Dilemma, which relates diamond to Gdelian metamathematics and dilemma games.
| ISBN-13: | 9789814287135 |
| ISBN-10: | 981428713X |
| Publisher: | World Scientific |
| Publication date: | 2010 |
| Edition description: | 2nd ed. |
| Pages: | 294 |
| Product dimensions: | Height: 9 Inches, Length: 6 Inches, Weight: 1.3 Pounds, Width: 0.71 Inches |
| Author: | Nathaniel S. Hellerstein |
| Language: | en |
| Binding: | Paperback |
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