Abstract

There is interest in artificial intelligence for prin-cipled techniques to analyze inconsistent informa-tion. This stems from the recognition that the di-chotomy between consistent and inconsistent sets of formulae that comes from classical logics is not sufficient for describing inconsistent information.We review some existing proposals and make new proposals for measures of inconsistency and mea-sures of information, and then prove that they are all pairwise incompatible. This shows that the no-tion of inconsistency is a multi-dimensional con-cept where different measures provide different in-sights. We then explore relationships between mea-sures of inconsistency and measures of information in terms of the trade-offs they identify when using them to guide resolution of inconsistency