Diamond: A Paradox Logic (2nd Edition)

This book is about "e;diamond"e;, a logic of paradox. In diamond, a statement can be true yet false; an "e;imaginary"e; 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 "e;modulator"e;; and Metamathematical Dilemma, which relates diamond to Godelian metamathematics and dilemma games.