Diamond - A Paradox Logic. Series on Knots and Everything, Volume 14. (Electronic book text)

This book is about "diamond," a logic of paradox. In diamond, a statment 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, Godelian metamathematics and dilemma games.