Notre Dame Journal of Formal Logic 55 (3):359-381 (2014)

Andrzej Pietruszczak
Nicolaus Copernicus University
The transitivity of the relation of part to whole is often questioned. But it is among the most basic principles of mereology. In this paper we present a general solution to the problem of transitivity of parthood which may be satisfactory for both its advocates and its opponents. We will show that even without the transitivity of parthood one can define—basic in mereology—the notion of being a mereological sum of some objects. We formulate several proposals of general approaches to the concept of being a part of a whole, none of which contains any existential assumptions. By adding the transitivity of parthood we obtain an axiomatization of “existentially neutral” mereology
Keywords parthood   transitivity of parthood   nonexistential theory of wholes and parts   nonexistential mereology
Categories (categorize this paper)
DOI 10.1215/00294527-2688069
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy

Upload a copy of this paper     Check publisher's policy     Papers currently archived: 72,607
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

A Note on the Transitivity of Parthood.Achille C. Varzi - 2006 - Applied ontology 1 (2):141-146.
Axioms for the Part Relation.Nicholas Rescher - 1955 - Philosophical Studies 6 (1):8-11.
Pieces of Mereology.Andrzej Pietruszczak - 2005 - Logic and Logical Philosophy 14 (2):211-234.
On the Transitivity of Functional Parthood.Laure Vieu - 2006 - Applied Ontology 1 (2):147-155.

Add more references

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.
Intuitionistic Mereology.Paolo Maffezioli & Achille C. Varzi - 2021 - Synthese 198 (Suppl 18):4277-4302.

Add more citations

Similar books and articles

A Note on the Transitivity of Parthood.Achille C. Varzi - 2006 - Applied ontology 1 (2):141-146.
Multilocation and Mereology.Shieva Kleinschmidt - 2011 - Philosophical Perspectives 25 (1):253-276.
Parts of Propositions.Cody Gilmore - 2014 - In Shieva Kleinschmidt (ed.), Mereology and Location. Oxford University Press. pp. 156-208.
Formal Theories of Parthood.Achille C. Varzi - 2014 - In Claudio Calosi & Pierluigi Graziani (eds.), Mereology and the Sciences: Parts and Wholes in the Contemporary Scientific Context. Springer Verlag. pp. 359–370.
Having a Part Twice Over.Karen Bennett - 2013 - Australasian Journal of Philosophy 91 (1):83 - 103.
Parts and Wholes.Kris McDaniel - 2010 - Philosophy Compass 5 (5):412-425.
Non-Wellfounded Mereology.Aaron J. Cotnoir & Andrew Bacon - 2012 - Review of Symbolic Logic 5 (2):187-204.
Nothing Over and Above.Theodore Sider - 2015 - Grazer Philosophische Studien 91 (1):191-216.


Added to PP index

Total views
49 ( #235,024 of 2,533,634 )

Recent downloads (6 months)
1 ( #389,998 of 2,533,634 )

How can I increase my downloads?


My notes