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Diamond: A Paradox Logic (Knots and Everything)

Diamond: A Paradox Logic (Knots and Everything)

Автор: N. S. Hellerstein, 300 стр., ISBN: 981428713X

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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