Logicality and Invariance

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

Authors
Denis Bonnay
Université Paris Nanterre
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.
Keywords logic  invariance  permutation  tarski  philosophy of logic  logicality  Tarski  Feferman  analytic
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DOI 10.2178/bsl/1208358843
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References found in this work BETA

The Logical Basis of Metaphysics.Michael DUMMETT - 1991 - Harvard University Press.
The Logical Basis of Metaphysics.Michael Dummett, Hilary Putnam & James Conant - 1991 - Philosophical Quarterly 44 (177):519-527.
What Are Logical Notions?John Corcoran & 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.
What Does It Mean to Say That Logic is Formal?John MacFarlane - 2000 - Dissertation, University of Pittsburgh

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Citations of this work BETA

Invariance and Logicality in Perspective.Gila Sher - forthcoming - In Gil Sagi & Jack Woods (eds.), The Semantic Conception of Logic: Essays on Consequence, Invariance, and Meaning. Cambridge, Britain: Cambridge University Press.
Notions of Invariance for Abstraction Principles.G. A. Antonelli - 2010 - Philosophia Mathematica 18 (3):276-292.
What Are Structural Properties?†.Johannes Korbmacher & Georg Schiemer - 2018 - Philosophia Mathematica 26 (3):295-323.

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