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Diamond: A Paradox Logic 2ed

by Nathaniel S Hellerstein World Scientific
Pub Date:
01/2010
ISBN:
9789814287135
Format:
Hbk 312 pages
Price:
AU$229.00 NZ$234.78
Product Status: Out of stock. Not available to order.
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.