Diamond: A Paradox Logic (Knots and Everything) N. S. Hellerstein

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. Это и многое другое вы найдете в книге Diamond: A Paradox Logic (Knots and Everything) (N. S. Hellerstein)