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

Format:

Book

Author/Creator:

Hellerstein, N. S. (Nathaniel S.)

Series:

K & E series on knots and everything ; v. 23.

K&E series on knots and everything ; v. 23

Language:

English

Subjects (All):

Logic, Symbolic and mathematical.

Paradox.

Physical Description:

xiv, 294 pages : illustrations ; 24 cm.

Edition:

Second edition.

Place of Publication:

Singapore ; Hackensack, NJ : World Scientific, [2010]

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. 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. Book jacket.

Notes:

Includes bibliographical references and index.

ISBN:

9789814287135

981428713X

OCLC:

396197045