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Real Logic is Nonmonotonic

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Published:01 November 2001Publication History
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Abstract

Charles Morgan has argued that nonmonotonic logic is ``impossible''. We show here that those arguments are mistaken, and that Morgan's preferred alternative, the representation of nonmonotonic reasoning by ``presuppositions'' fails to provide a framework in which nonmonotonic reasoning can be constructively criticised. We argue that an inductive logic, based on probabilistic acceptance, offers more than Morgan's approach through presuppositions.

References

  1. Burks, Arthur W. (1953), 'The presupposition theory of induction', Philosophy of Science 20, pp. 177-197.Google ScholarGoogle ScholarCross RefCross Ref
  2. Burks, Arthur W. (1954-55), 'On the presuppositions of induction', Review of Metaphysics 8, pp. 574-611.Google ScholarGoogle Scholar
  3. Burks, Arthur W. (1977), Chance, Cause, Reason, Chicago: University of Chicago Press.Google ScholarGoogle Scholar
  4. Carnap, Rudolf (1950), The Logical Foundations of Probabilty, 2nd edition, Chicago: University of Chicago Press.Google ScholarGoogle Scholar
  5. de Kleer, J. (1986), 'An assumption based ATMS', AI Journal 28, pp. 127-162. Google ScholarGoogle ScholarDigital LibraryDigital Library
  6. Fagin, Ronald and Halpern, Joseph Y. (1988), 'Belief, awareness and limited reasoning', Artificial Intelligence 34, pp. 39-76. Google ScholarGoogle ScholarDigital LibraryDigital Library
  7. Fetzer, James H. (1981), Scientific Knowledge, Dordrecht: Reidel.Google ScholarGoogle Scholar
  8. Fetzer, James H. (1993), Philosophy of Science, New York: Paragon House.Google ScholarGoogle Scholar
  9. Halpern, Joseph Y. (1993), 'Let many flowers bloom: A response to 'an inquiry into computer understanding', Computational Intelligence 9, pp. 184-188. Google ScholarGoogle ScholarDigital LibraryDigital Library
  10. Harrah, David (1956), 'Theses on presuppositions', Review of Metaphysics 9, pp. 117-128.Google ScholarGoogle Scholar
  11. Harrah, David (1961), 'A logic of questions and answers', Philosophy of Science 28, pp. 40-46.Google ScholarGoogle ScholarCross RefCross Ref
  12. Israel, David (1980), 'What's wrong with nonmonotonic logic?' in Proceedings of the First Annual National Conference on Artificial Intelligence, pp. 99-101.Google ScholarGoogle Scholar
  13. Keynes, John Maynard (1952), A Treatise on Probability, London: Macmillan and Co.Google ScholarGoogle Scholar
  14. Kyburg, Henry E. Jr. and Choh Man Teng (2001), Uncertain Inference, New York: Cambridge University Press.Google ScholarGoogle Scholar
  15. Kyburg, Henry E. Jr. (1994), 'Believing on the basis of evidence', Computational Intelligence 10, pp. 3-20.Google ScholarGoogle Scholar
  16. Kyburg, Henry E. Jr. (1997), 'Combinatorial semantics: the semantics of frequent validity', Computational Intelligence 13, pp. 215-257.Google ScholarGoogle ScholarCross RefCross Ref
  17. Morgan, Charles G. (1991), 'Logic, probability, and artificial intelligence', Computational Intelligence 7, pp. 94-109. Google ScholarGoogle ScholarDigital LibraryDigital Library
  18. Morgan, Charles G. (1998), 'Non-monotonic logic is impossible', Canadian Artificial Intelligence Magazine 42, pp. 18-25.Google ScholarGoogle Scholar
  19. Morgan, Charles G. (2000), 'The nature of nonmonotonic reasoning', Minds and Machines 10, pp. 321-360. Google ScholarGoogle ScholarDigital LibraryDigital Library
  20. Nilsson, Nils (1986), 'Probabilistic logic', Artificial Intelligence 28, pp. 71-88. Google ScholarGoogle ScholarDigital LibraryDigital Library
  21. Popper, Karl R. (1959), The Logic of Scientific Discovery, London: Hutchinson.Google ScholarGoogle Scholar
  22. Reiter, Raymond and de Kleer, Johan (1987), 'Foundations of assumption-based truth maintenance systems', in AAAI-87, volume Los Altos, pp. 183-189. Morgan Kaufman.Google ScholarGoogle Scholar

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      • Published in

        cover image Minds and Machines
        Minds and Machines  Volume 11, Issue 4
        November 2001
        147 pages

        Copyright © Copyright © 2001 Kluwer Academic Publishers

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        Kluwer Academic Publishers

        United States

        Publication History

        • Published: 1 November 2001

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