Locating Logical Necessity in Models or the Nature of Situations

Logical necessity is a pivotal notion in accounting for logical consequence, while the source of logical necessity is not widely discussed. In this article I bring to attention one peculiar phenomenon that not only the model-theoretic tradition, but also the essentialist account regarding logical n...

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Main Author: Xianrui Liu
Format: Article
Language:English
Published: Vilnius University Press 2024-12-01
Series:Problemos
Subjects:
Online Access:https://ojs.test/index.php/problemos/article/view/38285
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author Xianrui Liu
author_facet Xianrui Liu
author_sort Xianrui Liu
collection DOAJ
description Logical necessity is a pivotal notion in accounting for logical consequence, while the source of logical necessity is not widely discussed. In this article I bring to attention one peculiar phenomenon that not only the model-theoretic tradition, but also the essentialist account regarding logical necessity could locate the source of it in logical constants or logical notions. I argue that, under the former tradition, logical constants could be assimilated to restrictions of admissible models, and it is more plausible to locate the source of logical necessity in models; while, under the latter account, and borrowing ideas from the former, we should locate the source of logical necessity in the nature of what models represent, i.e., situations.
format Article
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spelling doaj-art-43b3f0a874774a798b17406f8ebf632b2025-01-03T06:39:58ZengVilnius University PressProblemos1392-11262424-61582024-12-0110.15388/Problemos.Priedas.24.6Locating Logical Necessity in Models or the Nature of SituationsXianrui Liu0University of Bristol, UK Logical necessity is a pivotal notion in accounting for logical consequence, while the source of logical necessity is not widely discussed. In this article I bring to attention one peculiar phenomenon that not only the model-theoretic tradition, but also the essentialist account regarding logical necessity could locate the source of it in logical constants or logical notions. I argue that, under the former tradition, logical constants could be assimilated to restrictions of admissible models, and it is more plausible to locate the source of logical necessity in models; while, under the latter account, and borrowing ideas from the former, we should locate the source of logical necessity in the nature of what models represent, i.e., situations. https://ojs.test/index.php/problemos/article/view/38285Logical ConsequenceLogical NecessityModel-theoretic AccountEssentialismLogical Constants
spellingShingle Xianrui Liu
Locating Logical Necessity in Models or the Nature of Situations
Problemos
Logical Consequence
Logical Necessity
Model-theoretic Account
Essentialism
Logical Constants
title Locating Logical Necessity in Models or the Nature of Situations
title_full Locating Logical Necessity in Models or the Nature of Situations
title_fullStr Locating Logical Necessity in Models or the Nature of Situations
title_full_unstemmed Locating Logical Necessity in Models or the Nature of Situations
title_short Locating Logical Necessity in Models or the Nature of Situations
title_sort locating logical necessity in models or the nature of situations
topic Logical Consequence
Logical Necessity
Model-theoretic Account
Essentialism
Logical Constants
url https://ojs.test/index.php/problemos/article/view/38285
work_keys_str_mv AT xianruiliu locatinglogicalnecessityinmodelsorthenatureofsituations