Diamond : a paradox logic / N.S. Hellerstein.

Format:

Book

Author/Creator:

Hellerstein, N. S. (Nathaniel S.)

Series:

K & E series on knots and everything ; vol. 14.

Series on knots & everything ; vol. 14

Language:

English

Subjects (All):

Logic, Symbolic and mathematical.

Paradox.

Physical Description:

xii, 257 pages : illustrations ; 23 cm.

Place of Publication:

Singapore ; River Edge, NJ : World Scientific, [1997]

Summary:

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. Diamond is a new way to solve the dilemmas of higher mathematics. In this volume, paradoxes by Russell, Cantor, Berry and Zeno are all resolved. This book consists of two sections: Elementary; which covers the classic paradoxes of mathematical logic and shows how they can be resolved in this new system; and Advanced, which relates diamond to Boolean logic, three-valued logic, G delian meta-mathematics and dilemma games.

Notes:

Includes bibliographical references (pages 245-247) and index.

ISBN:

9810228503

OCLC:

35084231