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September 2020 Prospects for a Theory of Decycling
Jon Erling Litland
Notre Dame J. Formal Logic 61(3): 467-499 (September 2020). DOI: 10.1215/00294527-2020-0016

Abstract

Seemingly natural principles about the logic of ground generate cycles of ground; how can this be if ground is asymmetric? The goal of the theory of decycling is to find systematic and principled ways of getting rid of such cycles of ground. In this paper—drawing on graph-theoretic and topological ideas—I develop a general framework in which various theories of decycling can be compared. This allows us to improve on proposals made earlier by Fine and Litland. However, it turns out that there is no unique method of decycling. An important upshot is that the notion of asymmetric ground may be indeterminate.

Citation

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Jon Erling Litland. "Prospects for a Theory of Decycling." Notre Dame J. Formal Logic 61 (3) 467 - 499, September 2020. https://doi.org/10.1215/00294527-2020-0016

Information

Received: 24 December 2018; Accepted: 12 March 2020; Published: September 2020
First available in Project Euclid: 26 September 2020

MathSciNet: MR4159166
Digital Object Identifier: 10.1215/00294527-2020-0016

Subjects:
Primary: 03A05
Secondary: 03A99, 03B47, 05C65

Rights: Copyright © 2020 University of Notre Dame

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Vol.61 • No. 3 • September 2020
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