ebook9789814287142d4325

Description

This book is about ‚Äúdiamond‚Äù, a logic of paradox. In diamond, a statement can be true yet false; an ‚Äúimaginary‚Äù 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 ‚Äúmodulator‚Äù; and Metamathematical Dilemma, which relates diamond to G√∂delian metamathematics and dilemma games.