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A computable universe : understanding and exploring nature as computation /

This volume, with a foreword by Sir Roger Penrose, discusses the foundations of computation in relation to nature. It focuses on two main questions: What is computation? How does nature compute?The contributors are world-renowned experts who have helped shape a cutting-edge computational understandi...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Zenil, Hector, Penrose, Roger
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Singapore : World Scientific, [2013]
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 1. Introducing the computable universe / H. Zenil
  • 2. Origins of digital computing: Alan Turing, Charles Babbage, & Ada Lovelace / D. Swade
  • 3. Generating, solving and the mathematics of Homo sapiens. E. Post's views on computation / L. De Mol
  • 4. Machines / R. Turner
  • 5. Effectiveness / N. Dershowitz & E. Falkovich
  • 6. Axions for computability: do they allow a proof of Church's thesis / W. Sieg
  • 7. The mathematician's bias
  • and the return to embodied computation / S.B. Cooper
  • 8. Intuitionistic mathematics and realizability in the physical world / A. Baver
  • 9. What is computation? Actor model versus Turing's model / C. Hewitt
  • 10. Reaction systems: a natural computing approach to the functioning of living cells / A. Ehrenfeucht [and others]
  • 11. Bacteria, Turing machines and hyperbolic cellular automata / M. Margenstern
  • 12. Computation and communication in unorganized systems / C. Teuscher
  • 13. The many forms of amorphous computational systems / J. Wiedermann
  • 14. Computing on rings / G.J. Martinez, A. Adamatzky & H.V. McIntosh
  • 15. Life as evolving software / G.J. Chaitin
  • 16. Computability and algorithmic complexity in economics / K.V. Velupillai & S. Zambelli
  • 17. Blueprint for a hypercomputer / F.A. Doria
  • 18. Information-theoretic teleodynamics in natural and artificial systems / A.F. Beavers & C.D. Harrison
  • 19. Discrete theoretical processes (DTP) / E. Fredkin
  • 20. The fastest way of computing all universes / J. Schmidhuber
  • 21. The subjective computable universe / M. Hutter
  • 22. What is ultimately possible in physics / S. Wolfram
  • 23. University, Turing incompleteness and observers / K. Sutner
  • 24. Algorithmic causal sets for a computational spacetime / T. Bolognesi
  • 25. The computable universe hypothesis / M.P. Szudzik
  • 26. The universe is lawless or "panton chrematon metron anthropon einai" / C.S. Calude, F.W. Meyerstein & A. Salomaa
  • 27. Is feasibility in physics limited by fantasy alone? / C.S. Calude & K. Svozil
  • 28. What is computation? (How) does nature compute? / D. Deutsch
  • 29. The universe as quantum computer / S. Lloyd
  • 30. Quantum speedup and temporal inequalities for sequential actions / M. Zukowski
  • 31. The contextual computer / A. Cabello
  • 32. A Godel-Turing perspective on quantum states indistinguishable from inside / T. Breuer
  • 33. When humans do compute quantum / P. Zizzi
  • 34. Open discussion on a computable universe / A. Bauer [and others]
  • 35. What is computation? (How) does nature compute? / C.S. Calude [and others]
  • 36. Calculating space (Rechnender Raum) / K. Zuse
  • Afterword to Konrad Zuse's Calculating Space / A. German & H. Zenil.