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 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.

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Publication Details

Journal
Problemos
Published
2024-12-23
DOI
https://doi.org/10.15388/problemos.priedas.24.6
Primary Topic
Philosophy and Theoretical Science
Type
article
Field-Weighted Citation Impact
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article

Locating Logical Necessity in Models or the Nature of Situations

Xianrui Liu
Problemos
Philosophy and Theoretical Science
article

Locating Logical Necessity in Models or the Nature of Situations

Xianrui Liu
article en

Abstract

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.

Problemos
University of Bristol (GB)
Reduced inequalities, Peace, Justice and strong institutions
Openalex Percentile: Top 70%
Philosophy and Theoretical Science
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