Diamond: a paradox logic

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, paradoxe...

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Bibliographic Details
Main Author: Hellerstein, N. S. (Author)
Format: Electronic eBook
Language:English
Published: Singapore World Scientific Pub. Co. c2010
Series:K&E series on knots and everything v. 23
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Online Access:FHN01
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Summary: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 Godelian metamathematics and dilemma games
Physical Description:xiv, 294 p. ill
ISBN:9789814287142

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