The Mereotopology of Time

Notre Dame Journal of Formal Logic 60 (2):215-252 (2019)
  Copy   BIBTEX

Abstract

Mereotopology is the discipline obtained from combining topology with the formal study of parts and their relation to wholes, or mereology. This article develops a mereotopological theory of time, illustrating how different temporal topologies can be effectively discriminated on this basis. Specifically, we demonstrate how the three principal types of temporal models—namely, the linear ones, the forking ones, and the circular ones—can be characterized by differently combining two sole mereotopological constraints: one to denote the absence of closed loops, and the other one to denote the absence of branches.

Other Versions

No versions found

Links

PhilArchive

    This entry is not archived by us. If you are the author and have permission from the publisher, we recommend that you archive it. Many publishers automatically grant permission to authors to archive pre-prints. By uploading a copy of your work, you will enable us to better index it, making it easier to find.

    Upload a copy of this work     Papers currently archived: 104,766

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

Mereology on Topological and Convergence Spaces.Daniel R. Patten - 2013 - Notre Dame Journal of Formal Logic 54 (1):21-31.
A mereotopology based on sequent algebras.Dimiter Vakarelov - 2017 - Journal of Applied Non-Classical Logics 27 (3-4):342-364.
On the Decidability of Axiomatized Mereotopological Theories.Hsing-Chien Tsai - 2015 - Notre Dame Journal of Formal Logic 56 (2):287-306.
A modal approach to dynamic ontology: modal mereotopology.Dimiter Vakarelov - 2008 - Logic and Logical Philosophy 17 (1-2):163-183.
Mereotopology without Mereology.Peter Forrest - 2010 - Journal of Philosophical Logic 39 (3):229-254.
Spatial Reasoning and Ontology: Parts, Wholes, and Locations.Achille C. Varzi - 2007 - In Marco Aiello, Ian Pratt-Hartmann & Johan van Benthem, Handbook of Spatial Logics. Springer Verlag. pp. 945-1038.
Linear, branching time and joint closure semantics for temporal logic.Joeri Engelfriet & Jan Treur - 2002 - Journal of Logic, Language and Information 11 (4):389-425.

Analytics

Added to PP
2017-09-26

Downloads
101 (#222,087)

6 months
11 (#337,430)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Claudio Mazzola
University of Queensland

Citations of this work

No citations found.

Add more citations

References found in this work

Past, present and future.Arthur N. Prior - 1967 - Oxford,: Clarendon P..
The calculus of individuals and its uses.Henry S. Leonard & Nelson Goodman - 1940 - Journal of Symbolic Logic 5 (2):45-55.
Objective time flow.Storrs McCall - 1976 - Philosophy of Science 43 (3):337-362.
A calculus of individuals based on "connection".Bowman L. Clarke - 1981 - Notre Dame Journal of Formal Logic 22 (3):204-218.

View all 15 references / Add more references