Logicality and Invariance

Bulletin of Symbolic Logic 14 (1):29-68 (2006)
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Abstract

What is a logical constant? The question is addressed in the tradition of Tarski's definition of logical operations as operations which are invariant under permutation. The paper introduces a general setting in which invariance criteria for logical operations can be compared and argues for invariance under potential isomorphism as the most natural characterization of logical operations.

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2008

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10.2178/bsl/1208358843

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Denis Bonnay
Université Paris Nanterre

Citations of this work

What Are Structural Properties?†.Johannes Korbmacher & Georg Schiemer - 2018 - Philosophia Mathematica 26 (3):295-323.
Invariance as a basis for necessity and laws.Gila Sher - 2021 - Philosophical Studies 178 (12):3945-3974.
Why logical pluralism?Colin R. Caret - 2019 - Synthese 198 (Suppl 20):4947-4968.

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References found in this work

The logical basis of metaphysics.Michael Dummett - 1991 - Cambridge, Mass.: Harvard University Press.
Generalized quantifiers and natural language.John Barwise & Robin Cooper - 1981 - Linguistics and Philosophy 4 (2):159--219.
The concept of logical consequence.John Etchemendy - 1990 - Cambridge, Mass.: Harvard University Press.
What are logical notions?Alfred Tarski - 1986 - History and Philosophy of Logic 7 (2):143-154.
Generalized Quantifiers and Natural Language.Jon Barwise - 1980 - Linguistics and Philosophy 4:159.

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