ENGLISH

Diamond: A Paradox Logic

By N. S. Hellerstein

Book information

Publisher
World Scientific Pub Co (
Year
1997
ISBN
9810228503, 9789810228507
LCC
QA9
Open Library ID
OL22331611M
Language
english
Format
PDF
Filesize
7 MB (7103749 bytes)
Series
Series on Knots and Everything
Pages
271\271
Topic
Mathematics Logic
Time added
2011-01-06 10:13:16

Description

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, Gödelian meta-mathematics and dilemma games.

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