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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
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Article . 2025 . Peer-reviewed
License: OUP Standard Publication Reuse
Data sources: Crossref
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Plural Grounding and Redundancy Elimination: A Defence of the Modal Collapse Argument

Authors: Jasper Lohmar;

Plural Grounding and Redundancy Elimination: A Defence of the Modal Collapse Argument

Abstract

Abstract Van Inwagen argued that the Principle of Sufficient Reason (PSR) implies necessitarianism, i.e., that all truths are necessary truths. Schnieder and Steinberg showed that van Inwagen’s argument fails if we apply a notion of plural grounding to the discussion of the PSR: the conjunction of all contingent truths is fully grounded in the plurality of all contingent truths. I argue that this manoeuvre fails if we accept a principle I call Redundancy Elimination. This principle follows naturally from the transitivity of grounding and rules out that a plurality of contingent truths can fully ground the plurality of all contingent truths. Nevertheless, it is weaker than a general irreflexivity principle and compatible with basic assumptions held by van Inwagen’s opponents. I conclude that a slightly modified version of van Inwagen’s argument shows that the PSR indeed implies necessitarianism.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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