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Diamond: A Paradox Logic (2nd Edition)

Diamond: A Paradox Logic (2nd Edition)

Hardcover

Series: Knots and Everything, Book 23

FictionGeometry

ISBN10: 981428713X
ISBN13: 9789814287135
Publisher: World Scientific Publishing Company
Published: Aug 31 2010
Pages: 312
Weight: 1.30
Height: 0.90 Width: 6.20 Depth: 9.00
Language: English

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.

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