Diamond: a paradox logic
Gespeichert in:
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New Jersey
World Scientific
©2010
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| Ausgabe: | 2nd ed |
| Schriftenreihe: | K & E series on knots and everything
v. 23 |
| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 Volltext |
| Beschreibung: | Includes bibliographical references (pages 287-289) and index 1. Paradox. A. The liar. B. The anti-diagonal. C. Russell's paradox. D. Santa and the grinch. E. Antistrephon. F. Parity of infinity. G. The heap. H. Finitude. I. Game paradoxes. J. Cantor's paradox. K. Paradox of the boundary -- 2. Diamond. A. The buzzer. B. Diamond values. C. Harmonic functions. D. Gluts and gaps. E. Diamond circuits. F. Brownian forms. G. Boundary logic -- 3. Diamond algebra. A. Bracket algebra. B. Laws. C. Normal forms. D. Completeness -- 4. Self-reference. A. Re-entrance and fixedpoints. B. Phase order. C. The outer fixedpoints -- 5. Fixedpoint lattices. A. Relative lattices. B. Seeds and spirals. C. Shared fixedpoints. D. Examples -- 6. Limit logic. A. Limits. B. Limit fixedpoints. C. The halting theorem -- 7. Paradox resolved. A. The liar and the anti-diagonal. B. Russell's paradox. C. Santa and the grinch. D. Antistrephon. E. Infinity, finitude and the heap. F. Game paradoxes -- 8. The continuum. A. Cantor's paradox. B. Dedekind splices. C. Null quotients. D. Cantor's number. E. The line within the diamond. F. Zeno's theorem. G. Fuzzy chaos -- 9. Clique theory. A. Cliques. B. Clique equality. C. Clique axioms. D. Graph cliques. E. Clique circuits -- 10. Orthogonal logics. A. Analytic functions. B. Function types. C. Dihedral conjugation. D. Star logic. E. Harmonic projection. F. Diamond types? -- 11. Interferometry. A. Quadrature. B. Diffraction. C. Buzzers and toggles. D. Analytic diffraction. E. Diffracting "two ducks in a box" -- 12. How to count to two. A. Brownian and Kauffman modulators. B. Diffracting the modulators. C. Rotors, pumps and tapes. D. The ganglion -- 13. Metamathematics. A. Gödelian quanta. B. Meta-logic. C. Dialectic. D. Dialectical dilemma -- 14. Dilemma. A. Milo's trick. B. Prisoner's dilemma. C. Dialemma games. D. Dilemma diamond. E. Banker's dilemma. F. The unexpected departure 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 |
| Beschreibung: | 1 Online-Ressource (xiv, 294 pages) |
| ISBN: | 9789814287135 9789814287142 981428713X 9814287148 |
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| 500 | |a Includes bibliographical references (pages 287-289) and index | ||
| 500 | |a 1. Paradox. A. The liar. B. The anti-diagonal. C. Russell's paradox. D. Santa and the grinch. E. Antistrephon. F. Parity of infinity. G. The heap. H. Finitude. I. Game paradoxes. J. Cantor's paradox. K. Paradox of the boundary -- 2. Diamond. A. The buzzer. B. Diamond values. C. Harmonic functions. D. Gluts and gaps. E. Diamond circuits. F. Brownian forms. G. Boundary logic -- 3. Diamond algebra. A. Bracket algebra. B. Laws. C. Normal forms. D. Completeness -- 4. Self-reference. A. Re-entrance and fixedpoints. B. Phase order. C. The outer fixedpoints -- 5. Fixedpoint lattices. A. Relative lattices. B. Seeds and spirals. C. Shared fixedpoints. D. Examples -- 6. Limit logic. A. Limits. B. Limit fixedpoints. C. The halting theorem -- 7. Paradox resolved. A. The liar and the anti-diagonal. B. Russell's paradox. C. Santa and the grinch. D. Antistrephon. E. Infinity, finitude and the heap. F. Game paradoxes -- 8. The continuum. A. Cantor's paradox. B. Dedekind splices. C. Null quotients. D. Cantor's number. E. The line within the diamond. F. Zeno's theorem. G. Fuzzy chaos -- 9. Clique theory. A. Cliques. B. Clique equality. C. Clique axioms. D. Graph cliques. E. Clique circuits -- 10. Orthogonal logics. A. Analytic functions. B. Function types. C. Dihedral conjugation. D. Star logic. E. Harmonic projection. F. Diamond types? -- 11. Interferometry. A. Quadrature. B. Diffraction. C. Buzzers and toggles. D. Analytic diffraction. E. Diffracting "two ducks in a box" -- 12. How to count to two. A. Brownian and Kauffman modulators. B. Diffracting the modulators. C. Rotors, pumps and tapes. D. The ganglion -- 13. Metamathematics. A. Gödelian quanta. B. Meta-logic. C. Dialectic. D. Dialectical dilemma -- 14. Dilemma. A. Milo's trick. B. Prisoner's dilemma. C. Dialemma games. D. Dilemma diamond. E. Banker's dilemma. F. The unexpected departure | ||
| 500 | |a 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 | ||
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Datensatz im Suchindex
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| author | Hellerstein, N. S., (Nathaniel S.) |
| author_facet | Hellerstein, N. S., (Nathaniel S.) |
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| author_sort | Hellerstein, N. S., (Nathaniel S.) |
| author_variant | n s n s h nsns nsnsh |
| building | Verbundindex |
| bvnumber | BV043100458 |
| collection | ZDB-4-EBA |
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| dewey-full | 511.3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511.3 |
| dewey-search | 511.3 |
| dewey-sort | 3511.3 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 2nd ed |
| format | Electronic eBook |
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| id | DE-604.BV043100458 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:17:26Z |
| institution | BVB |
| isbn | 9789814287135 9789814287142 981428713X 9814287148 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028524650 |
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| owner_facet | DE-1046 DE-1047 |
| physical | 1 Online-Ressource (xiv, 294 pages) |
| psigel | ZDB-4-EBA ZDB-4-EBA FAW_PDA_EBA |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | World Scientific |
| record_format | marc |
| series2 | K & E series on knots and everything |
| spelling | Hellerstein, N. S., (Nathaniel S.) Verfasser aut Diamond a paradox logic N.S. Hellerstein 2nd ed New Jersey World Scientific ©2010 1 Online-Ressource (xiv, 294 pages) txt rdacontent c rdamedia cr rdacarrier K & E series on knots and everything v. 23 Includes bibliographical references (pages 287-289) and index 1. Paradox. A. The liar. B. The anti-diagonal. C. Russell's paradox. D. Santa and the grinch. E. Antistrephon. F. Parity of infinity. G. The heap. H. Finitude. I. Game paradoxes. J. Cantor's paradox. K. Paradox of the boundary -- 2. Diamond. A. The buzzer. B. Diamond values. C. Harmonic functions. D. Gluts and gaps. E. Diamond circuits. F. Brownian forms. G. Boundary logic -- 3. Diamond algebra. A. Bracket algebra. B. Laws. C. Normal forms. D. Completeness -- 4. Self-reference. A. Re-entrance and fixedpoints. B. Phase order. C. The outer fixedpoints -- 5. Fixedpoint lattices. A. Relative lattices. B. Seeds and spirals. C. Shared fixedpoints. D. Examples -- 6. Limit logic. A. Limits. B. Limit fixedpoints. C. The halting theorem -- 7. Paradox resolved. A. The liar and the anti-diagonal. B. Russell's paradox. C. Santa and the grinch. D. Antistrephon. E. Infinity, finitude and the heap. F. Game paradoxes -- 8. The continuum. A. Cantor's paradox. B. Dedekind splices. C. Null quotients. D. Cantor's number. E. The line within the diamond. F. Zeno's theorem. G. Fuzzy chaos -- 9. Clique theory. A. Cliques. B. Clique equality. C. Clique axioms. D. Graph cliques. E. Clique circuits -- 10. Orthogonal logics. A. Analytic functions. B. Function types. C. Dihedral conjugation. D. Star logic. E. Harmonic projection. F. Diamond types? -- 11. Interferometry. A. Quadrature. B. Diffraction. C. Buzzers and toggles. D. Analytic diffraction. E. Diffracting "two ducks in a box" -- 12. How to count to two. A. Brownian and Kauffman modulators. B. Diffracting the modulators. C. Rotors, pumps and tapes. D. The ganglion -- 13. Metamathematics. A. Gödelian quanta. B. Meta-logic. C. Dialectic. D. Dialectical dilemma -- 14. Dilemma. A. Milo's trick. B. Prisoner's dilemma. C. Dialemma games. D. Dilemma diamond. E. Banker's dilemma. F. The unexpected departure 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 Logic Mathematics MATHEMATICS / Infinity bisacsh MATHEMATICS / Logic bisacsh Mathematik Logic, Symbolic and mathematical Paradox http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=340711 Aggregator Volltext |
| spellingShingle | Hellerstein, N. S., (Nathaniel S.) Diamond a paradox logic Logic Mathematics MATHEMATICS / Infinity bisacsh MATHEMATICS / Logic bisacsh Mathematik Logic, Symbolic and mathematical Paradox |
| title | Diamond a paradox logic |
| title_auth | Diamond a paradox logic |
| title_exact_search | Diamond a paradox logic |
| title_full | Diamond a paradox logic N.S. Hellerstein |
| title_fullStr | Diamond a paradox logic N.S. Hellerstein |
| title_full_unstemmed | Diamond a paradox logic N.S. Hellerstein |
| title_short | Diamond |
| title_sort | diamond a paradox logic |
| title_sub | a paradox logic |
| topic | Logic Mathematics MATHEMATICS / Infinity bisacsh MATHEMATICS / Logic bisacsh Mathematik Logic, Symbolic and mathematical Paradox |
| topic_facet | Logic Mathematics MATHEMATICS / Infinity MATHEMATICS / Logic Mathematik Logic, Symbolic and mathematical Paradox |
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