Diamond: A Paradox Logic (2nd Edition) (Hardcover) (ISBN-13: 9789814287135)

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 Gödelian metamathematics and dilemma games.

Author: Nathaniel S. Hellerstein
ISBN-10: 981428713X
ISBN-13: 9789814287135
Publisher: World Scientific Publishing Company
Language: English
Published: 08/31/2010
Pages: 312
Format: Hardcover
Weight: 1.30lbs
Size: 9.00h x 6.20w x 0.90d