Diamond: A Paradox Logic (2nd Edition): 23 (Series on Knots & Everything)

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Diamond: A Paradox Logic (2nd Edition): 23 (Series on Knots & Everything)

by Nathaniel S Hellerstein

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Creators

Author Nathaniel S Hellerstein

Publisher World Scientific Publishing Co Pte Ltd

Synopsis 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 Gdelian meta-mathematics and dilemma games.

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Binding: Paperback

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Specifications

Language: English
Publisher: World Scientific Publishing Co Pte Ltd
Pages: 312 pages
Binding: Paperback

ISBN: 9789814287135
Category: Mathematics & logic
Related Category: Natural Sciences