Название: Diamond: A Paradox Logic (Knots and Everything)Автор: N.S.K. Hellerstein
Издательство: World Scientific Publishing
Год: 1997
Формат: PDF
Размер: 10 Мб
Язык: английский / English
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. Diamond is a new way to solve the dilemmas of higher mathematics. In this volume, paradoxes by Russell, Cantor, Berry and Zeno are all resolved. This book consists of two sections: Elementary; which covers the classic paradoxes of mathematical logic and shows how they can be resolved in this new system; and Advanced, which relates diamond to Boolean logic, three-valued logic, Goedelian meta-mathematics and dilemma games.