An Abstract Mereology for Meinongian Objects

Humana Mente 6 (25) (2013)
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Abstract

The purpose of this paper is to examine how any domain of Meinongian objects can be structured by a special kind of mereology. The basic definition of this mereology is the following: an object is part of another iff every characteristic property of the former is also a characteristic property of the latter. I will show that this kind of mereology ends up being very powerful for dealing with Meinongian objects. Mereological sums and products are not restricted in any way in a domain of Meinongian objects: there is a sum and a product for any pair of Meinongian objects. With the mereological operations of sum, product and complement, and two special Meinongian objects, we can define a full boolean algebra on Meinongian objects. Moreover, this kind of mereology is atomic and extensional: an atom is a Meinongian object having just one characteristic property and two objects are identical iff the same atoms are parts of both of them. A Meinongian object can finally be defined in mereological terms as the sum of the atoms of its characteristic properties.

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Author's Profile

Thibaut Giraud
Institut Jean Nicod

Citations of this work

Mereology.Achille C. Varzi - 2016 - Stanford Encyclopedia of Philosophy.

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References found in this work

Parts: A Study in Ontology.Peter Simons - 1987 - Oxford, England: Oxford University Press.
Nonexistent Objects.Terence Parsons - 1980 - Yale University Press.
The Structure of Appearance.Nelson Goodman - 1951 - Cambridge, MA, USA: Harvard University Press.
Mereology.Achille C. Varzi - 2016 - Stanford Encyclopedia of Philosophy.
Parts : a Study in Ontology.Peter Simons - 1987 - Revue de Métaphysique et de Morale 2:277-279.

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