The Mereotopology of Time

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

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Claudio Mazzola
University of Queensland

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References found in this work

Past, Present and Future.Arthur N. Prior - 1967 - Oxford, GB: Oxford University Press.
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.

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