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Diamond: A Paradox Logic (2nd Edition)

Series on Knots & Everything 23

Format: Hardback
Publisher: World Scientific Publishing Co Pte Ltd, Singapore, Singapore
Published: 27th Jan 2010
Dimensions: w 152mm h 229mm d 19mm
Weight: 588g
ISBN-10: 981428713X
ISBN-13: 9789814287135
Barcode No: 9789814287135
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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 Goedelian metamathematics and dilemma games.

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