David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Ezio Di Nucci
Jack Alan Reynolds
Learn more about PhilPapers
Synthese 169 (3):447 - 463 (2009)
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.
|Keywords||Computability Decidability Undecidable Computer simulation Validation Models Chaos Dynamical systems Non-linear dynamics Proof Heuristics|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
Eric Winsberg (2003). Simulated Experiments: Methodology for a Virtual World. Philosophy of Science 70 (1):105-125.
Eric Winsberg (2001). Simulations, Models, and Theories: Complex Physical Systems and Their Representations. Proceedings of the Philosophy of Science Association 2001 (3):S442-.
Peter Koellner (2010). On the Question of Absolute Undecidability. In Kurt Gödel, Solomon Feferman, Charles Parsons & Stephen G. Simpson (eds.), Philosophia Mathematica. Association for Symbolic Logic 153-188.
Adam Morton (1993). Mathematical Models: Questions of Trustworthiness. British Journal for the Philosophy of Science 44 (4):659-674.
S. Feferman (2006). Are There Absolutely Unsolvable Problems? Godel's Dichotomy. Philosophia Mathematica 14 (2):134-152.
Citations of this work BETA
No citations found.
Similar books and articles
Wendy S. Parker (2008). Computer Simulation Through an Error-Statistical Lens. Synthese 163 (3):371 - 384.
Johannes Lenhard (2007). Computer Simulation: The Cooperation Between Experimenting and Modeling. Philosophy of Science 74 (2):176-194.
By Nick Bostrom (2003). Are We Living in a Computer Simulation? Philosophical Quarterly 53 (211):243–255.
Stephan Hartmann (1996). The World as a Process: Simulations in the Natural and Social Sciences. In Rainer Hegselmann (ed.), Modelling and Simulation in the Social Sciences from the Philosophy of Science Point of View.
Ulrich Krohs (2008). How Digital Computer Simulations Explain Real-World Processes. International Studies in the Philosophy of Science 22 (3):277 – 292.
Eckhart Arnold, The Dark Side of the Force: When Computer Simulations Lead Us Astray and ``Model Think'' Narrows Our Imagination --- Pre Conference Draft for the Models and Simulation Conference, Paris, June 12-14 ---. [REVIEW]
Jordi Fernández (2003). Explanation by Computer Simulation in Cognitive Science. Minds and Machines 13 (2):269-284.
Added to index2009-01-28
Total downloads67 ( #63,929 of 1,907,401 )
Recent downloads (6 months)12 ( #53,754 of 1,907,401 )
How can I increase my downloads?