Inconsistency and preservation

  • Authors:
  • Paul Wong

  • Affiliations:
  • Computer Science Laboratory, Research School of Information Sciences and Engineering, Australian National University

  • Venue:
  • PRICAI'00 Proceedings of the 6th Pacific Rim international conference on Artificial intelligence
  • Year:
  • 2000

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Abstract

One of the main goals of paraconsistent logics is to develop a theory of reasoning that can tolerate inconsistencies. In this paper we present a novel way to analyze and compare several paraconsistent reasoning mechanisms in terms of their preservational properties. The main idea is that although an inconsistent set of data cannot all be true, such a set may nevertheless carry useful properties that are worthy of preservation. One of these properties provides a theoretically interesting way to meaisure the relative incoherence of a data set; another one provides a way to measure the quantity of empirical information in an inconsistent set.