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Diamond: A Paradox Logic (2Nd Edition): A PARADOX LOGIC, 2ND ED (V23): 23 2nd Revised edition
Author(s): Nathaniel S Hellerstein (Author)
- Publisher: Wspc
- Publication Date: 26 Jan. 2010
- Edition: 2nd Revised edition
- Language: English
- Print length: 312 pages
- ISBN-10: 981428713X
- ISBN-13: 9789814287135
Book Description
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 meta-mathematics and dilemma games.
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From the Back Cover
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.
