Logic and Logical Philosophy 18 (1):45-63 (2009)

Authors
Hsing-Chien Tsai
National Chung Cheng University
Abstract
Mereological theories are theories based on a binary predicate ‘being a part of’. It is believed that such a predicate must at least define a partial ordering. A mereological theory can be obtained by adding on top of the basic axioms of partial orderings some of the other axioms posited based on pertinent philosophical insights. Though mereological theories have aroused quite a few philosophers’ interest recently, not much has been said about their meta-logical properties. In this paper, I will look into whether those theories are decidable or not. Besides, since theories of Boolean algebras are in some sense upper bounds of mereological theories which can be found in the literature, I shall also make some observations about the possibility of getting mereological theories beyond Boolean algebras
Keywords undecidability  mereological theories  decidability  part-whole relation  mereology
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DOI 10.12775/LLP.2009.004
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References found in this work BETA

Material Beings.Peter Van Inwagen - 1990 - Ithaca: Cornell University Press.
Pieces of Mereology.Andrzej Pietruszczak - 2005 - Logic and Logical Philosophy 14 (2):211-234.
Relation of Leśniewski's Mereology to Boolean Algebra.Robert E. Clay - 1984 - In Jan T. J. Srzednicki, V. F. Rickey & J. Czelakowski (eds.), Journal of Symbolic Logic. Distributors for the United States and Canada, Kluwer Boston. pp. 241--252.

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Citations of this work BETA

Mereology.Achille C. Varzi - 2016 - Stanford Encyclopedia of Philosophy.
Mereology Then and Now.Rafał Gruszczyński & Achille C. Varzi - 2015 - Logic and Logical Philosophy 24 (4):409–427.
On the Decidability of Axiomatized Mereotopological Theories.Hsing-Chien Tsai - 2015 - Notre Dame Journal of Formal Logic 56 (2):287-306.

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