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Replacement—A Sheffer Stroke for Belief Change

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Abstract

By replacement is meant an operation that replaces one sentence by another in a belief set. Replacement can be used as a kind of Sheffer stroke for belief change, since contraction, revision, and expansion can all be defined in terms of it. Replacement can also be defined either in terms of contraction or in terms of revision. Close connections are shown to hold between axioms for replacement and axioms for contraction and revision. Partial meet replacement is axiomatically characterized. It is shown that this operation can have outcomes that are not obtainable through either partial meet contraction or partial meet revision.

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Authors and Affiliations

  1. Department of Philosophy and the History of Technology, Royal Institute of Technology, Teknikringen 78, 100 44, Stockholm, Sweden

    Sven Ove Hansson

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  1. Sven Ove Hansson
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Correspondence to Sven Ove Hansson.

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Hansson, S.O. Replacement—A Sheffer Stroke for Belief Change. J Philos Logic 38, 127–149 (2009). https://doi.org/10.1007/s10992-008-9100-8

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  • DOI: https://doi.org/10.1007/s10992-008-9100-8

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