Intelligent Systems 

Discussion group on Entropy and Self-organisation in Multi-Agent Systems

Self-referentiality, Gödel's Theorem

W. Brian Arthur. Inductive Reasoning and Bounded Rationality (The El Farol Problem). American Economic Review (Papers and Proceedings), 84,406-411, 1994.

      Abstract. ... In this paper I will argue that as economists we need to pay great attention to inductive reasoning; that it makes excellent sense as an intellectual process; and that it is not hard to model. In the main part of this paper, I will present a decision problem--the "bar problem"--in which inductive reasoning is assumed and modeled, and its implications are examined. The system that emerges under inductive reasoning will have connections both with evolution and complexity.

John L. Casti. Chaos, Godel and Truth. In Beyond Belief : Randomness, Prediction, and Explanation in Science, John L. Casti, Anders Karlqvist (Editors).

      Abstract. This chapter is, for the most part, an introductory informal exposition of the interrelations between attractors of dynamical systems, chaotic dynamics, algorithms, Godel's Theorem, Chaitin's Theorem, and the notion of truth versus proof. 

Contact:

Dr Mikhail Prokopenko
Tel : 61 (02) 9325 3264
Fax: 61 (02) 9325 3200
mikhail.prokopenko@csiro.au