Probability, Uncertainty and Rationality

by Hosni, Hykel; Montagna, Franco

• ISBN13: 9788876423475
• ISBN10: 8876423478
• Format: Paperback
• Copyright: 2010-04-30
• Publisher: Springer Verlag

Summary

This volume explores, from a mathematical and a philosophical perspective, the virtuous circle connecting logic and rationality. While logic lends its methods, techniques and ideas to the investigation of rationality, the practical problems which arise in modelling rational behaviour, especially in the social sciences, motivate logicians to develop more refined logical formalisms. This is why non classical logics - a unifying theme of this volume - play a fundamental role in the construction of formal models of rationality.

Table of Contents

Introduction	p. vii
Authors' affiliations	p. xvii
Foundations	p. 1
Ordered algebras and logic	p. 3
Probability	p. 85
The social entropy process: Axiomatising the aggregation of probabilistic beliefs	p. 87
Conditional probability in the light of qualitative belief change	p. 105
Is there a probability theory of many-valued events?	p. 141
Uncertainty	p. 167
On Giles style dialogue games and hypersequent systems	p. 169
Poset representation for free RDP-algebras	p. 197
Uncertainty, indeterminacy and fuzziness: A probabilistic approach	p. 219
Rationality	p. 243
Tractable depth-bounded logics and the problem of logical omniscience	p. 245
Rational behaviour at trust nodes	p. 277
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