Skip to main content
Article thumbnail
Location of Repository

The quantitative/qualitative watershed for rules of uncertain inference

By James Hawthorne and David C Makinson

Abstract

We chart the ways in which closure properties of consequence relations for uncertain inference take on different forms according to whether the relations are generated in a quantitative or a qualitative manner. Among the main themes are: the identification of watershed conditions between probabilistically and qualitatively sound rules; failsafe and classicality transforms of qualitatively sound rules; non-Horn conditions satisfied by probabilistic consequence; representation and completeness problems; and threshold-sensitive conditions such as `preface' and `lottery' rules

Topics: BC Logic
Year: 2007
DOI identifier: 10.1007/s11225-007-9061-x
OAI identifier: oai:eprints.lse.ac.uk:3361
Provided by: LSE Research Online
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • http://eprints.lse.ac.uk/3361/... (external link)
  • http://www.springerlink.com/co... (external link)
  • http://eprints.lse.ac.uk/3361/ (external link)
  • Suggested articles

    Citations

    1. (2001). A Logical Theory of Nonmonotonic Inference and Belief doi
    2. (1998). A Primer of Probability Logic,
    3. (1968). A theory of conditionals', doi
    4. (1997). Beyond rational monotony: some strong non-Horn rules for nonmonotonic inference relations', doi
    5. (2005). Bridges from Classical to Nonmonotonic Logic, Series: doi
    6. (2007). Conditionals and consequences', to appear in doi
    7. (1984). Foundations of conditional logic' doi
    8. (1996). Four probability-preserving properties of inferences', doi
    9. (1994). General patterns in nonmonotonic reasoning', doi
    10. (1993). Injective models and disjunctive relations', doi
    11. (2007). Nonmonotonic conditionals that behave like conditional probabilities above a threshold', to appear in doi
    12. (1990). Nonmonotonic reasoning, preferential models and cumulative logics', doi
    13. (1996). On the logic of nonmonotonic conditionals and conditional probabilities', doi
    14. (2001). Possibility theory, probability theory and multiplevalued logics: a clari¯cation', doi
    15. (1961). Probability and the Logic of Rational Belief, doi
    16. Quick completeness proofs for some logics of conditionals', doi
    17. (1965). The paradox of the preface', doi
    18. (1992). What does a conditional knowledge base entail?', doi

    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.