信念修正视域下的悖论研究初探
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摘要
悖论研究是一个古老的研究领域,信念修正理论则是最近三十年发展而成的新型逻辑理论。悖论的形成、发现与解决是一种典型而复杂的信念修正过程。虽然这两个领域的亲缘关系非同一般,但迄今为止学界对这种亲缘关系缺乏系统的研究。本文从信念修正理论的角度提出一种重新审视悖论相关论题的新思路,进而提出一种基于信念修正理论的新的解悖方法论,最后依据这种解悖方法论对罗素悖论给出了一种新的解决方案。这种交叉研究的新思路不仅能推动悖论研究的发展,也能为信念修正理论指出新的研究方向。
Paradox research is an ancient research field, and belief revision is a new logic theory developed in the latest three decades. Paradox formation, discovery, and resolution are some kinds of canonical and complex belief revision processes. Although there are many extraordinary interrelations between the two fields, there are not any systematical researches about the interrelations. This article proposes one new research sight for paradox-related problems from the points of view in belief revision, and then proposes one new methodology for paradox resolution based on belief revision theory, and at last we propose a new resolution for Russell's Paradox based on this new methodology. This new interdisciplinary research view will not only promote the development of paradox research, but also point out a new research direction in belief revision.
Paradox research is an ancient research field, and belief revision is a new logic theory developed in the latest three decades. Paradox formation, discovery, and resolution are some kinds of canonical and complex belief revision processes. Although there are many extraordinary interrelations between the two fields, there are not any systematical researches about the interrelations. This article proposes one new research sight for paradox-related problems from the points of view in belief revision, and then proposes one new methodology for paradox resolution based on belief revision theory, and at last we propose a new resolution for Russell's Paradox based on this new methodology. This new interdisciplinary research view will not only promote the development of paradox research, but also point out a new research direction in belief revision.
引文
[1]C.E.Alchourrón,P.G?rdenfors and D.Makinson,1985,“On the logic of theory change:Partial meet contraction and revision functions”,Journal of Symbolic Logic,50(2):510-530.
[2]P.G?rdenfors and D.Makinson,1988,“Revisions of knowledge systems using epistemic entrenchment”,in M.Y.Vardi(ed.),Proceedings of the Second Conference on Theoretical Aspects of Reasoning about Knowledge,pp.83-95,Burlington,Massachusetts:Morgan Kaufmann Publishers.
[3]S.Haack,1978,Philosophy of Logics,Cambridge:Cambridge University Press.
[4]N.Rescher,2001,Paradoxes:Their Roots,Range,and Resolution,Chicago:Carus Publishing.
[5]J.F.Thomson,1962,“On some paradoxes”,in R.J.Butler(ed.),Analytical Philosophy,pp.104-119,New York:Barnes&Noble.
[6]Y.Yuan,2017,“Rational metabolic revision based on core beliefs”,Synthese,194(6):2121-2146.
[7]Y.Yuan and S.Ju,2015,“Rational evaluation in belief revision”,Synthese,192(7):2311-2336.
[8]E.Zermelo,1967,“Investigation in the foundation of set theory I”,in J.van Heijenoort(ed.),S.Bauer Mengelberg(tran.),From Frege to G?del,pp.199-215,Cambridge,Massachusetts:Harvard University Press.
[9]陈波,悖论研究,2014年,北京:北京大学出版社。
[10]罗素(著);温锡增(译),我的哲学的发展,1982年,北京:商务印书馆。
[11]田茂,“论二值原则--部分逻辑悖论产生的根源”,逻辑学研究,2018年第1期,第92-112页。
[12]袁永锋,“基于核心信念的非优先复合修正理论”,2014年,博士学位论文,中山大学。
[13]张建军,“A study of the definition of‘logical paradox’”,逻辑与哲学(第三届两岸逻辑教学与学术会议文集),2009年,文富文化出版社。
[14]张建军,逻辑悖论研究引论,2014年,北京:人民出版社。
[15]张建军等,当代逻辑哲学前沿问题探讨,2014年,北京:人民出版社。
[2]P.G?rdenfors and D.Makinson,1988,“Revisions of knowledge systems using epistemic entrenchment”,in M.Y.Vardi(ed.),Proceedings of the Second Conference on Theoretical Aspects of Reasoning about Knowledge,pp.83-95,Burlington,Massachusetts:Morgan Kaufmann Publishers.
[3]S.Haack,1978,Philosophy of Logics,Cambridge:Cambridge University Press.
[4]N.Rescher,2001,Paradoxes:Their Roots,Range,and Resolution,Chicago:Carus Publishing.
[5]J.F.Thomson,1962,“On some paradoxes”,in R.J.Butler(ed.),Analytical Philosophy,pp.104-119,New York:Barnes&Noble.
[6]Y.Yuan,2017,“Rational metabolic revision based on core beliefs”,Synthese,194(6):2121-2146.
[7]Y.Yuan and S.Ju,2015,“Rational evaluation in belief revision”,Synthese,192(7):2311-2336.
[8]E.Zermelo,1967,“Investigation in the foundation of set theory I”,in J.van Heijenoort(ed.),S.Bauer Mengelberg(tran.),From Frege to G?del,pp.199-215,Cambridge,Massachusetts:Harvard University Press.
[9]陈波,悖论研究,2014年,北京:北京大学出版社。
[10]罗素(著);温锡增(译),我的哲学的发展,1982年,北京:商务印书馆。
[11]田茂,“论二值原则--部分逻辑悖论产生的根源”,逻辑学研究,2018年第1期,第92-112页。
[12]袁永锋,“基于核心信念的非优先复合修正理论”,2014年,博士学位论文,中山大学。
[13]张建军,“A study of the definition of‘logical paradox’”,逻辑与哲学(第三届两岸逻辑教学与学术会议文集),2009年,文富文化出版社。
[14]张建军,逻辑悖论研究引论,2014年,北京:人民出版社。
[15]张建军等,当代逻辑哲学前沿问题探讨,2014年,北京:人民出版社。