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:

1 online resource (312 p.)

Edition:

2nd ed.

Place of Publication:

Singapore ; Hackensack, NJ : World Scientific, c2010.

Language Note:

English

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 D

Contents:

Contents; Introduction; Part One: Paradox Logic; 1. Paradox; 2. Diamond; 3. Diamond Algebra; 4. Self-Reference; 5. Fixedpoint Lattices; 6. Limit Logic; 7. Paradox Resolved; 8. The Continuum; 9. Clique Theory; Part Two: The Second Paradox; 10. Orthogonal Logics; 11. Interferometry; 12. How to Count to Two; Part Three: Metamathematical Dilemma; 13. Metamathematics; 14. Dilemma; Notes; 1E. Chaos on the Boundary; 2F. Interpretations; 3B. Differentials; 3C. Categoricity?; 4A. A Parenthetical Remark about the Parenthetical Remark; 5D. Complementarity Santa and Grinch; General Lattice Emulation?

9A. ContraWell-Foundedness11A. Permeable Forms and Direct Distribution; 10D. Double Diffraction; 12B. Other Modulators; 13A. Tertullian Quanta; 14C. Diamond Values for Dilemma?; Bibliography; Index

Notes:

Description based upon print version of record.

Includes bibliographical references (p. 287-289) and index.

ISBN:

9786612761454

9781282761452

1282761455

9789814287142

9814287148

OCLC:

671654853