Overview

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. Contents: Paradox Logic: ParadoxDiamondDiamond AlgebraSelf-ReferenceFixedpoint LatticesLimit LogicParadox ResolvedThe ContinuumClique Theory The Second Paradox Orthogonal LogicsInterferometryHow to Count to Two Metamathematical Dilemma: MetamathematicsDilemmaReadership: Mathematicians and computer scientists.

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9781282761452

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