|
|
|
|
|
|
|
|
1. |
Record Nr. |
UNINA9910780888103321 |
|
|
Autore |
Hellerstein N. S (Nathaniel S.) |
|
|
Titolo |
Diamond [[electronic resource] ] : a paradox logic / / N.S. Hellerstein |
|
|
|
|
|
Pubbl/distr/stampa |
|
|
Singapore ; ; Hackensack, NJ, : World Scientific, c2010 |
|
|
|
|
|
|
|
ISBN |
|
1-282-76145-5 |
9786612761454 |
981-4287-14-8 |
|
|
|
|
|
|
|
|
Edizione |
[2nd ed.] |
|
|
|
|
|
Descrizione fisica |
|
1 online resource (312 p.) |
|
|
|
|
|
|
Collana |
|
K & E series on knots and everything ; ; v. 23 |
|
|
|
|
|
|
Disciplina |
|
|
|
|
|
|
Soggetti |
|
Logic, Symbolic and mathematical |
Paradox |
|
|
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
Note generali |
|
Description based upon print version of record. |
|
|
|
|
|
|
Nota di bibliografia |
|
Includes bibliographical references (p. 287-289) and index. |
|
|
|
|
|
|
Nota di contenuto |
|
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 |
|
|
|
|
|
|
|
|
Sommario/riassunto |
|
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 |
|
|
|
|