Diamond A Paradox Logic 2nd edition by Nathaniel S Hellerstein ISBN 981428713X 978-9814287135

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Product details: 

ISBN 10: 981428713X 

ISBN 13: 978-9814287135

Author: Nathaniel 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 Gödelian metamathematics and dilemma games.

Table of contents: 

Part 1: Paradox Logic — Explores classic and modern paradoxes like the Liar, Russell’s Paradox, and Cantor’s Paradox. It introduces concepts like diamond logic, self-reference, fixedpoints, and limit logic, ultimately aiming to resolve some of these mind-bending problems.

Part 2: The Second Paradox — Delves into orthogonal logics, interferometry, and the complexities of counting, using concepts like diffraction and modulators to uncover new perspectives on logical structures.

Part 3: Metamathematical Dilemma — Investigates the interplay between logic and metamathematics, touching on Gödel’s incompleteness, dialectics, and famous dilemmas like the Prisoner’s Dilemma, all while searching for deeper insights into logical and philosophical quandaries.

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Tags: Nathaniel S Hellerstein, Diamond A, Paradox Logic, Paradox Logic 2nd