Parker, Matthew W. (2008) Computing the Uncomputable, or, The Discrete Charm of Second-order Simulacra. In:  Models and Simulations (Paris, 2006).
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We examine a case in which non-computable behavior in a model is revealed by computer simulation. This is possible due to differing notions of computability for sets in a continuous space. The argument originally given for the validity of the simulation involves a simpler simulation of the simulation, still further simulations thereof, and a universality conjecture. There are difficulties with that argument, but there are other, heuristic arguments supporting the qualitative results. It is urged, using this example, that absolute validation, while highly desirable, is overvalued. Simulations also provide valuable insights that we cannot yet (if ever) prove.
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|Item Type:||Conference or Workshop Item (UNSPECIFIED)|
|Keywords:||Chaos basin attraction attractor computability decidability computer simulation scaling riddled non-computability undecidability Chaitin validation|
|Subjects:||General Issues > Models and Idealization|
Specific Sciences > Computation/Information > Classical
Specific Sciences > Complex Systems
Specific Sciences > Physics
|Conferences and Volumes:|| Models and Simulations (Paris, 2006)|
|Depositing User:||Matthew Parker|
|Date Deposited:||02 Nov 2008|
|Last Modified:||07 Oct 2010 11:16|
Available Versions of this Item
- Computing the Uncomputable, or, The Discrete Charm of Second-Order Simulacra. (deposited 03 Jun 2006)
- Computing the Uncomputable, or, The Discrete Charm of Second-order Simulacra. (deposited 02 Nov 2008)[Currently Displayed]
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