分体论 (逻辑学)

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在哲学方面，分体论（英文：Mereology；该单词源自希腊语“μερος”；其中，词头“meros”意思是“部分”或者说“组成部分”，而词尾“-logy”则指的是研究、学问、讨论和科学），是指一套与组成部分及其相应整体有关的公理化一阶理论。分体论既指的是谓词逻辑的一种应用，又指的是形式本体论的一个分支。

参见

参考文献

  • （英文） Bunt, Harry, 1985. Mass terms and model-theoretic semantics. Cambridge Univ. Press.
  • （英文） Burgess, John, and Rosen, Gideon, 1997. A Subject with No Object. Oxford Univ. Press.
  • （英文） Burkhardt, H., and Dufour, C.A., 1991, "Part/Whole I: History" in Burkhardt, H., and Smith, B., eds., Handbook of Metaphysics and Ontology. Muenchen: Philosophia Verlag.
  • （英文） Casati, R., and Varzi, A., 1999. Parts and Places: the structures of spatial representation. MIT Press.
  • （英文） Eberle, Rolf, 1970. Nominalistic Systems. Kluwer.
  • （英文） Forrest, Peter, 2002, "Nonclassical mereology and its application to sets, （页面存档备份，存于互联网档案馆）" Notre Dame Journal of Formal Logic 43: 79-94.
  • （英文） Hovda, Paul, 2008, "What is classical mereology?", Journal of Philosophical Logic, http://www.springerlink.com/content/76l18850p2325p16/[永久失效連結]
  • （英文） Goodman, Nelson, 1977 (1951). The Structure of Appearance. Kluwer.
  • （英文） -------, and Willard Quine, 1947, "Steps toward a constructive nominalism," Journal of Symbolic Logic 12: 97-122.
  • （英文）Gruszczynski R., and Pietruszczak A., 2008, "Full development of Tarski's geometry of solids, （页面存档备份，存于互联网档案馆）" Bulletin of Symbolic Logic 14:481-540. The paper presents a system of geometry based on Lesniewski's mereology. Basic properties of mereological structures are also given.
  • （英文） Husserl, Edmund, 1970. Logical Investigations, Vol. 2. Findlay, J.N., trans. Routledge.
  • （英文） Lewis, David K., 1991. Parts of Classes. Blackwell.
  • （英文） Leonard, H.S., and Goodman, Nelson, 1940, "The calculus of individuals and its uses," Journal of Symbolic Logic 5: 45–55.
  • （英文） Nicolas, David "Mass nouns and plural logic", "Linguistics and Philosophy" 31.2, pp.211-244, 2008, https://web.archive.org/web/20120219021719/http://d.a.nicolas.free.fr/Nicolas-Mass-nouns-and-plural-logic-Revised-2.pdf
  • （英文） Leśniewski, Stanisław, 1992. Collected Works. Surma, S.J., Srzednicki, J.T., Barnett, D.I., and Rickey, V.F., editors and translators. Kluwer.
  • （英文）Lucas, J. R., 2000. Conceptual Roots of Mathematics. Routledge. Chpts. 9.12 and 10 discuss mereology, mereotopology, and the related theories of A.N. Whitehead, all strongly influenced by the unpublished writings of David Bostock.
  • （英文）Pietruszczak A., 1996, "Mereological sets of distributive classes," Logic and Logical Philosophy 4:105-122. The paper shows how one can, by means of mereology, construct mathematical entities which are built from set theoretical classes.
  • （英文）Pietruszczak A., 2005, "Pieces of mereology," Logic and Logical Philosophy 14:211-234. The paper presents basic mathematical properties of Lesniewski's mereology.
  • （英文）Potter, Michael, 2004. Set Theory and Its Philosophy. Oxford Univ. Press.
  • （英文） Simons, Peter, 1987. Parts: A Study in Ontology. Oxford Univ. Press.
  • （英文） Srzednicki, J. T. J., and Rickey, V. F., eds., 1984. Lesniewski's Systems: Ontology and Mereology. Kluwer.
  • （英文） Tarski, Alfred, 1984 (1956), "Foundations of the Geometry of Solids" in his Logic, Semantics, Metamathematics: Papers 1923–38. Woodger, J., and Corcoran, J., eds. and trans. Hackett.
  • （英文） Varzi, Achille C., 2007, "Spatial Reasoning and Ontology: Parts, Wholes, and Locations （页面存档备份，存于互联网档案馆）" in Aiello, M. et al, eds., Handbook of Spatial Logics. Springer-Verlag: 945-1038.
  • （英文） Whitehead, A.N., 1916, "La Theorie Relationiste de l'Espace," Revue de Metaphysique et de Morale 23: 423-454. Translated as Hurley, P.J., 1979, "The relational theory of space," Philosophy Research Archives 5: 712-741.
  • （英文）------, 1919. An Enquiry Concerning the Principles of Natural Knowledge. Cambridge Univ. Press. 2nd ed., 1925.
  • （英文）------, 1920. The Concept of Nature. Cambridge Univ. Press. 2004 paperback, Prometheus Books. Being the 1919 Tarner Lectures delivered at Trinity College, Cambridge.
  • （英文）------, 1978 (1929). Process and Reality. Free Press.
  • （英文） Woodger, J. H., 1937. The Axiomatic Method in Biology. Cambridge Univ. Press.

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