Warianty tytułu
Języki publikacji
Abstrakty
This paper will consider some interesting mereological models and, by looking into them carefully, will clarify some important metalogical issues, such as definability, atomicity and decidability. More precisely, this paper will inquire into what kind of subsets can be defined in certain mereological models, what kind of axioms can guarantee that any member is composed of atoms and what kind of axioms are crucial, by regulating the models in a certain way, for an axiomatized mereological theory to be decidable.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Numer
Strony
469–482
Opis fizyczny
Daty
online
2015-04-28
Twórcy
autor
- Department of Philosophy, National Chung-Cheng University, Taiwan, pythc@ccu.edu.tw
Bibliografia
- Casati, R., and A. Varzi, Parts and Places, Cambridge: MIT Press, 1999.
- Forrest, P., “How innocent is mereology?”, Analysis, 56 (1996): 127–131. DOI:10.1093/analys/56.3.127
- Hodges, W., Model Theory, Cambridge: Cambridge University Press, 1993. DOI:10.1017/CBO9780511551574
- Lewis, D., On the Plurality of Worlds, Oxford: Basil Blackwell, 1986.
- Shoenfield, J.R., Mathematical Logic, London: Addison-Wesley, 1967.
- Simons, P., Parts: A Study in Ontology, Oxford: Clarendon Press, 1987.
- Tsai, H., “Decidability of mereological thoeries”, Logic and Logical Philosophy, 18 (2009): 46–63. DOI:10.12775/LLP.2009.004
- Tsai, H., “Decidability of General Extensional Mereology”, Studia Logica, 101, 3 (2013): 619–636. DOI:10.1007/s11225-012-9400-4
- Tsai, H., “A comprehensive picture of the decidability of mereological theories”, Studia Logica 101, 5 (2013): 987–1012. DOI:10.1007/s11225-012-9405-z
- Tsai, H., “On the decidability of axiomatized mereotopological theories”, Notre Dame Journal of Formal Logic, 56, 2 (2015): 287–306. DOI:10.1215/00294527-2864307
- Tsai, H. and A. Varzi, “Atoms, gunk, and the limits of ‘composition’”, to appear in Erkenntnis.
- van Inwagen, P., Material Beings, Ithaca (NY), 1990.
- Varzi, A., “Spatial reasoning and ontology: Parts, wholes, and locations”, pp. 945–1038 in Handbook of Spatial Logics, Berlin: Springer Verlag, 2007. DOI:10.1007/978-1-4020-5587-4_15
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
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