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基于命题的信念偏好逻辑 被引量：2

Doxastic Preference Logic over Propositions
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摘要 Preference is a core notion in philosophy,game theory,decision theory and utility theory,and it has played a central role in philosophy of action and rational choice. This paper studies preferences from a logical perspective. I first introduce an existing Doxastic preference logic over individual objects,and then extend it to propositions. A new Doxastic preference logic over propositions is proposed,and its completeness and a representation theorem have been proved. The paper also explores a notion of propositional preference as a lift from preference relations over possible worlds and presents a complete logic for it. Finally,the two Doxastic preference logics over objects and over propositions,respectively,are compared,and I show that they are essentially the same in terms of reasoning with preferences. Preference is a core notion in philosophy,game theory,decision theory and utility theory,and it has played a central role in philosophy of action and rational choice. This paper studies preferences from a logical perspective. I first introduce an existing Doxastic preference logic over individual objects,and then extend it to propositions. A new Doxastic preference logic over propositions is proposed,and its completeness and a representation theorem have been proved. The paper also explores a notion of propositional preference as a lift from preference relations over possible worlds and presents a complete logic for it. Finally,the two Doxastic preference logics over objects and over propositions,respectively,are compared,and I show that they are essentially the same in terms of reasoning with preferences.
作者 刘奋荣
机构地区 清华大学哲学系
出处 《哲学研究》 CSSCI 北大核心 2010年第3期103-109,共7页 Philosophical Research
基金 教育部人文社会科学研究基金项目(编号09YJC72040001)资助
关键词 逻辑性质 偏好 信念 命题 理性选择理论 行为哲学 亚里士多德 博弈论
分类号 B848.4 [哲学宗教—心理学]
  • 相关文献

参考文献14

  • 1张家龙.亚里士多德对“偏好”如是说[J].逻辑学研究,2008,1(2):99-107. 被引量：3
  • 2Benthem, J. van and Liu, F. , 2007, "Dynamic logic of preference upgrade", in Journal of Applied Non-Classical Logic 17: pp. 157 -182.
  • 3Coste-Marquis, S. ; Lang, J. ; Liberatore, P. and Marquis, P. , 2004, " Expressive power and succinctness of propositional languages for preference representation", in Proceedings of KR, AAAI Press.
  • 4Fehige, C. and Wessels, U. , 1998, Preferences, Berlin : Walter de Gruyter.
  • 5Gabbay D. and F. Guenthner( eds. ) , 2001, Handbook of Philosphical Logic, Dordrecht: Kluwer.
  • 6Girard, P. , 2008, Modal Logics for Belief and Preference Change, PhD thesis, Stanford University.
  • 7Hallden, S., 1957, On the Logic of"Better", Lund.
  • 8Halpem, J. Y. , 1997, "Defining relative likelihood in partially-ordered preferential structure", in Journal of Artificial Intelligence Research 7: pp. 1 -24.
  • 9Hansson, S.O. ,1995, "Changes in preference", in Theory and Decision 38: pp. 1 -28.
  • 10Hansson, S.O. ,2001, "Preference logic", in D. Gabbay and F. Guenthner(eds. ), Handbook of Philosophical Logic, vol. 4, chap. 4, pp. 319 - 393, Dordrecht : Kluwer.

二级参考文献7

  • 1.
  • 2J.van Benthem."For Better or for Worse:Dynamic Logic of Preference"[].Preference Change:Approaches from PhilosophyEco- nomics and PsychologyTheory and Decision Library.2008
  • 3P.Girard.Modal Logic for Belief and Preference Change[]..2008
  • 4J.Y.Halpern."Defining Relative Likelihood in Partially-ordered Preferential Structures"[].Journal of Artificial Organs.1997
  • 5S.O.Hansson."Preference Logic"[].Handbook of Philosophical Logic.2001
  • 6E Liu.Changing for the Better:Preference Dynamics and Agent Diversity[]..2008
  • 7G.H.von Wright.The Logic of Preference[]..1963

共引文献2

同被引文献17

  • 1Hallden, S.. On the Logic of "Better" [M] .Lund, 1957.
  • 2von Wright, G.H.. The Logic of Preference [M] . Edinburgh, 1963.
  • 3Hansson, S.O.. Preference Logic [A] . D. Gabbay and F. Guenthner. editors. Handbook of Philosophical Logic (volume 4, chapter 4) [M] . Dordrecht: Kluwer, 2001.
  • 4Liu, F.. Changing for the Better, Preference Dynamics and Agent Diversity [M] . PhD thesis, ILLC, University of Amsterdam. 2008.
  • 5Lang, J., van der Torre, L., and Weydert, E.. Hidden Uncertainty in the Logical Representation of Desires [A] . Proceedings of the 18th International Joint Conference on Artificial Intelligence (IJCAI'" 03) [C] .2003.
  • 6Coste-Marquis, S., Lang, J., Liberatore, P., and Marquis, P.. Expressive Power and Succinctness of Propositional Languages for Preference Representation [A] . Proceedings of KR 2004 [C] . AAAI Press.
  • 7Rott, H.. Belief Contraction in the Context of the General Theory of Rational Choice [J] . Journal of Symbolic Logic, 58: 1426-1450, 1993.
  • 8Fehige, C. and Wessels, U.. Preferences [M] . Walter de Gruyter, Berlin, 1998.
  • 9Liu, F.. von Wright's "The Logic of Preference" Revisited [J] . Synthese, 2009, DOI 10.1007/s11229-009-9530-z.
  • 10de Jongh, D. and Liu, F.. 2006, Optimality, Belief and Preference [A] . S. Artemov and R. Parikh. editors. Proceedings of the Workshop on Rationality and Knowledge [C] . ESSLLI, Malaga, 2006. Technical Report, PP-2006-38, ILLC, University of Amsterdam.

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哲学研究
2010年 第3期

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