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What is Logical Consequence?

Authors :
Paseau, A C
Source :
Philosophia Mathematica. Oct2024, Vol. 32 Issue 3, p385-400. 16p.
Publication Year :
2024

Abstract

This article is a review of the book "Logical Consequence" by Gila Sher. The book provides an overview of the theory of logical consequence, focusing on the semantic definition of logical consequence. It discusses Tarski's approach to logical consequence and presents a model-theoretic account that avoids the problems faced by the substitutional account. The author argues that logical consequence is grounded in the formal features of reality and explains its features such as generality and topic-neutrality. The review also highlights some differences between Sher's approach and another book on the same topic. The text discusses the concepts of logical monism and pluralism, with the author arguing that the author of "Logical Consequence," Hartry Field, is a logical monist. The author explains that Sher's monism is based on the belief that there is a single logic that accurately represents the formal structure of reality. The text also mentions the difference between Sher's approach and the book "One True Logic," which offers arguments for monism. The text concludes by discussing the question of the correct one true logic and the role of logical form and logical constants in logical consequence. The text discusses the differences between the formal-features account of logical consequence and the model-theoretic account. The formal-features account, proposed by Gila Sher, argues that the formal features of reality, regulated by formal laws, underpin logical truths. The model-theoretic account, on the other hand, sees logical consequence as a relation between [Extracted from the article]

Details

Language :
English
ISSN :
00318019
Volume :
32
Issue :
3
Database :
Academic Search Index
Journal :
Philosophia Mathematica
Publication Type :
Academic Journal
Accession number :
180217950
Full Text :
https://doi.org/10.1093/philmat/nkae014