Diamond: A Paradox Logic (2nd Edition)

Download or read book Diamond: A Paradox Logic (2nd Edition) written by Nathaniel S Hellerstein and published by World Scientific. This book was released on 2010-01-26 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.