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August 2021 Meaningless Divisions
Damian Szmuc, Thomas Macaulay Ferguson
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Notre Dame J. Formal Logic 62(3): 399-424 (August 2021). DOI: 10.1215/00294527-2021-0022

Abstract

In this article, we revisit a number of disputes regarding significance logics—that is, inferential frameworks capable of handling meaningless, although grammatical, sentences—that took place in a series of articles most of which appeared in the Australasian Journal of Philosophy between 1966 and 1978. These debates concern (i) the way in which logical consequence ought to be approached in the context of a significance logic, and (ii) the way in which the logical vocabulary has to be modified (either by restricting some notions, or by adding some vocabulary) to keep as much of classical logic as possible. Our aim is to show that the divisions arising from these disputes can be dissolved in the context of a novel and intuitive proposal that we put forward.

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Damian Szmuc. Thomas Macaulay Ferguson. "Meaningless Divisions." Notre Dame J. Formal Logic 62 (3) 399 - 424, August 2021. https://doi.org/10.1215/00294527-2021-0022

Information

Received: 3 November 2019; Accepted: 22 March 2021; Published: August 2021
First available in Project Euclid: 6 October 2021

Digital Object Identifier: 10.1215/00294527-2021-0022

Subjects:
Primary: 03A05
Secondary: 03B47, 03B50

Rights: Copyright © 2021 University of Notre Dame

JOURNAL ARTICLE
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Vol.62 • No. 3 • August 2021
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