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May 2019 The Mereotopology of Time
Claudio Mazzola
Notre Dame J. Formal Logic 60(2): 215-252 (May 2019). DOI: 10.1215/00294527-2019-0005

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. "The Mereotopology of Time." Notre Dame J. Formal Logic 60 (2) 215 - 252, May 2019. https://doi.org/10.1215/00294527-2019-0005

Information

Received: 3 January 2016; Accepted: 25 February 2017; Published: May 2019
First available in Project Euclid: 25 April 2019

zbMATH: 07096537
MathSciNet: MR3952232
Digital Object Identifier: 10.1215/00294527-2019-0005

Subjects:
Primary: 03B44

Rights: Copyright © 2019 University of Notre Dame

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Vol.60 • No. 2 • May 2019
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