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Abductive Belief Revision in Science

  • Gerhard SchurzEmail author
Chapter
Part of the Logic, Epistemology, and the Unity of Science book series (LEUS, volume 21)

Abstract

The chapter starts from the observation that neither belief revision in the AGM tradition nor belief base revision contain mechanisms for learning new hypotheses from new evidences. After a discussion of two approaches to implement such learning mechanisms into input-driven belief revision, and of alternative accounts in terms of deliberate belief revision, an account of input-driven abductive belief expansion and revision is develop which intends to be as close as possible to belief revision in science and in common sense cognition. For this purpose, the chapter draws on a theory of abduction developed elsewhere. Abductive expansion and revision functions, including induction as a special case, are described within three specific domains: inductive generalization, factual abduction, and theoretical model abduction. It turns out that abductive belief revision does not satisfy the Levi-identity.

Keywords

Belief System Belief Revision Belief Base Epistemic Agent Inductive Generalization 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgement

For valuable help I am indebted to Hannes Leitgeb, Erik Olsson, Issac Levi and Hans Rott.

References

  1. Alchourrón, C.E., Peter Gärdenfors, and David Makinson. 1985. On the logic of theory change; partial meet contraction and revision functions. Journal of Symbolic Logic 50:510–530.CrossRefGoogle Scholar
  2. Aliseda, Atoacha. 2006. Abductive reasoning. Dordrecht: Springer.Google Scholar
  3. Bratko, I. 1986. Prolog programming for artificial intelligence. Reading, MA: Addison-Wesley.Google Scholar
  4. Carnap, R. 1950. Logical foundations of probability. Chicago: University of Chicago.Google Scholar
  5. Earman, J. 1992. Bayes or Bust? Cambridge, MA: MIT.Google Scholar
  6. Flach, P., and A. Kakas. (eds.). 2000. Abduction and induction. Dordrecht: Kluwer.Google Scholar
  7. Forster, M., and E. Sober. 1994. How to tell when simpler, more unified, or less ad hoc theories will provide more accurate predictions. British Journal for the Philosophy of Science 45:1–35.CrossRefGoogle Scholar
  8. Gärdenfors, Peter. 1981. An epistemic approach to conditionals. American Philosophical Quarterly 18:203–211.Google Scholar
  9. Gärdenfors, Peter. 1988. Knowledge in flux. Cambridge, MA: MIT.Google Scholar
  10. Hansson, Sven O. (1999): A textbook of belief dynamics. Dordrecht: Kluwer.Google Scholar
  11. Hansson, Sven O. 2006. Logic of belief revision, In Stanford encyclopedia of philosophy. plato.stanford.edu/entries/logic-belief-revision/.Google Scholar
  12. Josephson, J., and S. Josephson. (eds.). 1994. Abductive inference. New York, NY: Cambridge University Press.Google Scholar
  13. Kitcher, P. 1981. Explanatory unification. Philosophy of Science 48:507–531CrossRefGoogle Scholar
  14. Levi, Isaac. 1977. Subjunctives, dispositions, and chances. Synthese 34:423–455.CrossRefGoogle Scholar
  15. Levi, Isaac. 1980. The enterprise of knowledge. Cambridge, MA: MIT.Google Scholar
  16. Levi, Isaac. 1991. The fixation of belief and its undoing. Cambridge, MA: Cambridge University Press.Google Scholar
  17. Levi, Isaac. 2004. Mild contraction. Oxford: Clarendon.Google Scholar
  18. Martin, Eric, and Daniel Osherson. 1998. Elements of scientific inquiry. Cambridge, MA: MIT.Google Scholar
  19. Olsson, Erik J., and David Westlund. 2006. On the role of research agenda in epistemic change. Erkenntnis 65:165–183.CrossRefGoogle Scholar
  20. Páez, Andrés. 2006. Explanations in K. An analysis of explanation as a belief revision operation. Oberhausen: Athena.Google Scholar
  21. Pagnucco, Maurice. 1996. The role of abductive reasoning within the process of belief revision, Dissertation, University of Sydney.Google Scholar
  22. Paul, G. 1993. Approaches to abductive reasoning. Artificial Intelligence Review 7:109–152.CrossRefGoogle Scholar
  23. Peirce, C.S. 1878. Deduction, induction, and hypothesis. Peirce (CP) 2.619–2.644.Google Scholar
  24. Peirce, C.S. 1903. Lectures on pragmatism. Peirce (CP) 5.14–5.212.Google Scholar
  25. Peirce, C.S. (CP). Collected papers, ed. C. Hartshorne, P. Weiss, 1931–1935. Cambridge, MA: Harvard University Press.Google Scholar
  26. Ridley, M. 1993. Evolution. Oxford: Blackwell.Google Scholar
  27. Rott, H. 1992. Reduktion und revision. Bern: P. Lang.Google Scholar
  28. Rott, H. 1994. Zur Wissenschaftsphilosophie von Imre Lakatos. Philosophia Naturalis 31(1):25–62.Google Scholar
  29. Rott, H. 2000. Two dogmas of belief revision. Journal of Philosophy 97:503–522.CrossRefGoogle Scholar
  30. Rott, Hans, and Maurice Pagnucco. 2000. Severe withdrawal (and recovery). Journal of Philosophical Logic 29:501–547.Google Scholar
  31. Salmon, W. 1989. Four decades of scientific explanation. Minneapolis, MN: University of Minnesota Press.Google Scholar
  32. Schurz, G. 1991. Relevant deduction. Erkenntnis 35:391–437.Google Scholar
  33. Schurz, G. 1995/96. Scientific explanation: A critical survey. Foundation of Science I(3):429–465.Google Scholar
  34. Schurz, G. 2002. Ceteris paribus laws: Classification and deconstruction. In Ceteris paribus laws, eds. J. Earman, C. Glymour, and S. Mitchell. (2002, Hg.). Erkenntnis 57(3):351–372.Google Scholar
  35. Schurz, G. 2008a. Patterns of abduction. Synthese 164:201–234.Google Scholar
  36. Schurz, G. 2008b. Third-person internalism: A critical examniation of externalism and a foundation-oriented alternative. Acta Analytica 23:9–28.Google Scholar
  37. Schurz, G., and K. Lambert. 1994. Outline of a theory of scientific understanding. Synthese 101(1):65–120.Google Scholar
  38. Sneed, J.D. 1971. The logical structure of mathematical physics. Dordrecht: Reidel.Google Scholar

Copyright information

© Springer Science+Business Media B.V. 2010

Authors and Affiliations

  1. 1.University of DuesseldorfDuesseldorfGermany

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