Diamond [[electronic resource] ] : a paradox logic / / N.S. Hellerstein
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| Autore: |
Hellerstein N. S (Nathaniel S.)
|
| Titolo: |
Diamond [[electronic resource] ] : a paradox logic / / N.S. Hellerstein
|
| Pubblicazione: | Singapore ; ; Hackensack, NJ, : World Scientific, c2010 |
| Edizione: | 2nd ed. |
| Descrizione fisica: | 1 online resource (312 p.) |
| Disciplina: | 511.3 |
| Soggetto topico: | Logic, Symbolic and mathematical |
| Paradox | |
| 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 this new system; The Second Paradox, which relates diamond to Boolean logic and the Spencer-Brown modulator""; and Metamathematical D |
| Titolo autorizzato: | Diamond |
| ISBN: | 1-282-76145-5 |
| 9786612761454 | |
| 981-4287-14-8 | |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910825595103321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
K & E series on knots and everything ; ; v. 23.