Natural axioms for classical mereology

Review of Symbolic Logic 12 (1):201-208 (2019)
  Copy   BIBTEX

Abstract

We present a new axiomatization of classical mereology in which the three components of the theory—ordering, composition, and decomposition prin-ciples—are neatly separated. The equivalence of our axiom system with other, more familiar systems is established by purely deductive methods, along with additional results on the relative strengths of the composition and decomposition axioms of each theory.

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 91,202

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

On Three Axiom Systems for Classical Mereology.Achille C. Varzi - 2019 - Logic and Logical Philosophy 28 (2):203–207.
What Is Classical Mereology?Paul Hovda - 2009 - Journal of Philosophical Logic 38 (1):55 - 82.
Set-theoretic mereology.Joel David Hamkins & Makoto Kikuchi - 2016 - Logic and Logical Philosophy 25 (3):285-308.
Anti‐symmetry and non‐extensional mereology.Aaron Cotnoir - 2010 - Philosophical Quarterly 60 (239):396-405.
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.
Mereology and modality.Gabriel Uzquiano - 2014 - In Shieva Kleinschmidt (ed.), Mereology and Location. Oxford University Press. pp. 33-56.
Mereology and Infinity.Karl-Georg Niebergall - 2016 - Logic and Logical Philosophy 25 (3):309-350.
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.
Analytic Rules for Mereology.Paolo Maffezioli - 2016 - Studia Logica 104 (1):79-114.
Pieces of mereology.Andrzej Pietruszczak - 2005 - Logic and Logical Philosophy 14 (2):211-234.
Nonclassical Mereology and Its Application to Sets.Peter Forrest - 2002 - Notre Dame Journal of Formal Logic 43 (2):79-94.
Non-wellfounded Mereology.Aaron J. Cotnoir & Andrew Bacon - 2012 - Review of Symbolic Logic 5 (2):187-204.

Analytics

Added to PP
2018-10-24

Downloads
141 (#127,036)

6 months
13 (#161,691)

Historical graph of downloads
How can I increase my downloads?

Author Profiles

A. J. Cotnoir
University of St. Andrews
Achille C. Varzi
Columbia University

References found in this work

Parts : a Study in Ontology.Peter Simons - 1987 - Revue de Métaphysique et de Morale 2:277-279.
The calculus of individuals and its uses.Henry S. Leonard & Nelson Goodman - 1940 - Journal of Symbolic Logic 5 (2):45-55.
What Is Classical Mereology?Paul Hovda - 2009 - Journal of Philosophical Logic 38 (1):55 - 82.
On Three Axiom Systems for Classical Mereology.Achille C. Varzi - 2019 - Logic and Logical Philosophy 28 (2):203–207.

Add more references