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Meta-Induction and Social Epistemology: Computer Simulations of Prediction Games

Published online by Cambridge University Press:  03 January 2012

Abstract

The justification of induction is of central significance for cross-cultural social epistemology. Different ‘epistemological cultures’ do not only differ in their beliefs, but also in their belief-forming methods and evaluation standards. For an objective comparison of different methods and standards, one needs (meta-)induction over past successes. A notorious obstacle to the problem of justifying induction lies in the fact that the success of object-inductive prediction methods (i.e., methods applied at the level of events) can neither be shown to be universally reliable (Hume's insight) nor to be universally optimal. My proposal towards a solution of the problem of induction is meta-induction. The meta-inductivist applies the principle of induction to all competing prediction methods that are accessible to her. By means of mathematical analysis and computer simulations of prediction games I show that there exist meta-inductive prediction strategies whose success is universally optimal among all accessible prediction strategies, modulo a small short-run loss. The proposed justification of meta-induction is mathematically analytical. It implies, however, an a posteriori justification of object-induction based on the experiences in our world. In the final section I draw conclusions about the significance of meta-induction for the social spread of knowledge and the cultural evolution of cognition, and I relate my results to other simulation results which utilize meta-inductive learning mechanisms.

Type
Research Article
Copyright
Copyright © Cambridge University Press 2009

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References

REFERENCES

Alexander, J. McKenzie. 2007. The Structural Evolution of Morality. Cambridge: Cambridge University Press.CrossRefGoogle Scholar
Cesa-Bianchi, Nicolo and Lugosi, Gabor. 2006. Prediction, Learning, and Games. Cambridge: Cambridge University Press.CrossRefGoogle Scholar
Dawkins, Richard. 1989. The Selfish Gene. 2nd ed. Oxford: Oxford University Press.Google Scholar
Gigerenzer, Gerd et al. 1999. Simple Heuristics That Make Us Smart. New York: Oxford University Press.Google Scholar
Goldman, Alvin I. 1999. Knowledge in a Social World. Oxford: Oxford University Press.CrossRefGoogle Scholar
Good, Irving J. 1983. Good Thinking. Minneapolis: University of Minnesota Press.Google Scholar
Greeno, James G. 1971. “Evaluation of Statistical Hypotheses Using Information Transmitted.” In Salmon, W., Statistical Explanation and Statistical Relevance. Pittsburgh: University of Pittsburgh Press.Google Scholar
Hegselmann, Rainer. 2002. “Opinion Dynamics and Bounded Confidence Models, Analysis, and Simulation.” Journal of Artificial Societies and Social Simulation (JASSS) 5(3) http://jasss.soc.surrey.ac.uk/5/3/2.htmlGoogle Scholar
Hegselmann, Rainer and Krause, Ulrich. 2006. “Truth and Cognitive Division of Labour: First Steps towards a Computer Aided Social Epistemology.” Journal of Artificial Societies and Social Simulation (JASSS) 9(3) http://jasss.soc.surrey.ac.uk/9/3/10.htmlGoogle Scholar
Hogarth, Robin M. and Karelaia, Natalia. 2006. “‘Take-The-Best’ and Other Simple Strategies.” Theory and Decision 61: 205–49.CrossRefGoogle Scholar
Kelly, Kevin T. 1996. The Logic of Reliable Inquiry. New York: Oxford University Press.CrossRefGoogle Scholar
Norton, John. 2003. “A Material Theory of Induction.” Philosophy of Science 70: 647–70.CrossRefGoogle Scholar
Reichenbach, Hans. 1938. Experience and Prediction. Chicago: University of Chicago Press.Google Scholar
Reichenbach, Hans. 1949. The Theory of Probability. Berkeley: University of California Press.Google Scholar
Salmon, Wesley C. 1957. “Should We Attempt to Justify Induction?Philosophical Studies 8(3): 45–7.CrossRefGoogle Scholar
Schurz, Gerhard. 2008a. “Third-Person Internalism: A Critical Examination of Externalism and a Foundation-Oriented Alternative.” Acta Analytica 23: 928.CrossRefGoogle Scholar
Schurz, Gerhard. 2008b. “The Meta-Inductivist's Winning Strategy in the Prediction Game: A New Approach to Hume's Problem.” Philosophy of Science 75: 278305.CrossRefGoogle Scholar
Schurz, Gerhard. 2008c. “Meta-Induction. A Game-Theoretical Approach to the Problem of Induction.” In Glymour, C., Westerståhl, D., Wang, W. (eds.), Proceedings from the 13 th International Congress of Logic, Methodology and Philosophy. London: King's College Publications.Google Scholar
Schurz, Gerhard. 2009. “Meliorative Reliabilist Epistemology: Where Externalism and Internalism Meet.” Grazer Philosophische Studien.CrossRefGoogle Scholar
Skyrms, Brian. 2000. Choice and Chance. 4th ed. Belmont, CA: Wadsworth.Google Scholar
Skyrms, Brian. 2004. The Stag Hunt and the Evolution of Social Structure. Cambridge: Cambridge University Press.Google Scholar