Diamond : a paradox logic /

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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, paradoxe...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Hellerstein, N. S. (Nathaniel S.)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New Jersey : World Scientific, ©2010.
Edición:2nd ed.
Colección:K & E series on knots and everything ; v. 23.
Temas:
Logic, Symbolic and mathematical.
Paradox.
Logique symbolique et mathématique.
Paradoxe.
MATHEMATICS > Infinity.
MATHEMATICS > Logic.
Logic, Symbolic and mathematical
Paradox
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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.

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