Review of Symbolic Logic 11 (1):133-159 (2018)

Authors
Gil Sagi
University of Haifa
Abstract
In standard model-theoretic semantics, the meaning of logical terms is said to be fixed in the system while that of nonlogical terms remains variable. Much effort has been devoted to characterizing logical terms, those terms that should be fixed, but little has been said on their role in logical systems: on what fixing their meaning precisely amounts to. My proposal is that when a term is considered logical in model theory, what gets fixed is its intension rather than its extension. I provide a rigorous way of spelling out this idea, and show that it leads to a graded account of logicality: the less structure a term requires in order for its intension to be fixed, the more logical it is. Finally, I focus on the class of terms that are invariant under isomorphisms, as they render themselves more easily to mathematical treatment. I propose a mathematical measure for the logicality of such terms based on their associated Löwenheim numbers.
Keywords logical constants  Löwenheim numbers  invariance criteria  model theory  meaning
Categories (categorize this paper)
DOI 10.1017/S1755020317000247
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 70,079
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

The Concept of Logical Consequence.John Etchemendy - 1990 - Harvard University Press.
What Are Logical Notions?Alfred Tarski - 1986 - History and Philosophy of Logic 7 (2):143-154.
Logical Foundations of Probability.Ernest H. Hutten - 1950 - Journal of Symbolic Logic 16 (3):205-207.

View all 47 references / Add more references

Citations of this work BETA

The Simple Argument for Subclassical Logic.Jc Beall - 2018 - Philosophical Issues 28 (1):30-54.
Invariance and Logicality in Perspective.Gila Sher - 2021 - In Gil Sagi & Jack Woods (eds.), The Semantic Conception of Logic: Essays on Consequence, Invariance, and Meaning. Cambridge, Britain: Cambridge University Press. pp. 13-34.
On Williamson's New Quinean Argument Against Nonclassical Logic.Jc Beall - 2019 - Australasian Journal of Logic 16 (7):202.
Invariance Criteria as Meta-Constraints.Gil Sagi - 2022 - Bulletin of Symbolic Logic 28 (1):104-132.

View all 7 citations / Add more citations

Similar books and articles

Extensionality and Logicality.Gil Sagi - 2017 - Synthese (Suppl 5):1-25.
Set-Theoretical Invariance Criteria for Logicality.Solomon Feferman - 2010 - Notre Dame Journal of Formal Logic 51 (1):3-20.
Characterizing Invariance.Jack Woods - 2016 - Ergo: An Open Access Journal of Philosophy 3:778-807.
Generalized Quantifiers, Exception Phrases, and Logicality.Shalom Lappin - 1995 - Logic Journal of the IGPL 3 (2-3):203-222.
Rationality and the Ideal of Description of Nature. Folse - 1983 - der 16. Weltkongress Für Philosophie 2:498-505.
Generalized Quantifiers, Exception Phrases, and Logicality.S. Lappin - 1996 - Journal of Semantics 13 (3):197-220.
Expressivist Perspective on Logicality.Pavel Arazim - 2017 - Logica Universalis 11 (4):409-419.
Logical Operations and Invariance.Enrique Casanovas - 2007 - Journal of Philosophical Logic 36 (1):33-60.
Logical Operations and Invariance.Enrique Casanovas - 2007 - Journal of Philosophical Logic 36 (1):33 - 60.
Logical Indefinites.Jack Woods - 2014 - Logique Et Analyse -- Special Issue Edited by Julien Murzi and Massimiliano Carrara 227: 277-307.
Logicality and Invariance.Denis Bonnay - 2006 - Bulletin of Symbolic Logic 14 (1):29-68.
Logical Quantifiers.Gila Sher - 2012 - In D. Graff Fara & G. Russell (eds.), Routledge Companion to Philosophy of Language. Routledge. pp. 579-595.
Is Logic in the Mind or in the World?Gila Sher - 2011 - Synthese 181 (2):353 - 365.

Analytics

Added to PP index
2018-01-18

Total views
81 ( #143,146 of 2,506,036 )

Recent downloads (6 months)
5 ( #139,885 of 2,506,036 )

How can I increase my downloads?

Downloads

My notes