A1 Refereed original research article in a scientific journal
Common theories
Authors: Salonen H
Publisher: ELSEVIER SCIENCE BV
Publication year: 2009
Journal: Mathematical Social Sciences
Journal name in source: MATHEMATICAL SOCIAL SCIENCES
Journal acronym: MATH SOC SCI
Volume: 58
Issue: 3
First page : 279
Last page: 289
Number of pages: 11
ISSN: 0165-4896
DOI: https://doi.org/10.1016/j.mathsocsci.2009.08.002
By a theory we mean a subset of propositions that is closed under consequences and conjunctions. When the set of all propositions is a Boolean algebra, theories are filters in this algebra. When there are several theorists, they can also have theories about what theories the other theorists subscribe to. We construct a set of theories which is complete in the sense that it contains all theories about the states of nature and about the set of theories of other agents. This is accomplished by building a complete belief model, where agents' beliefs are modeled by filters. This model is also canonical, terminal and universal. (C) 2009 Elsevier B.V. All rights reserved.