Diamond: A Paradox Logic (2nd Edition) (2nd ed)

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 Goedelian metamathematics and dilemma games.