Logicality and Invariance
Bulletin of Symbolic Logic 14 (1):29-68 (2006)
| Authors |
Denis Bonnay
Université Paris Nanterre
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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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| Keywords | logic invariance permutation tarski philosophy of logic logicality Tarski Feferman analytic |
| Categories | (categorize this paper) |
| Reprint years | 2008 |
| DOI | 10.2178/bsl/1208358843 |
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References found in this work BETA
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.
What Does It Mean to Say That Logic is Formal?John MacFarlane - 2000 - Dissertation, University of Pittsburgh
View all 11 references / Add more references
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.
Reassessing Logical Hylomorphism and the Demarcation of Logical Constants.Novaes Catarina Dutilh - 2012 - Synthese 185 (3):387 - 410.
Compositionality Solves Carnap’s Problem.Denis Bonnay & Dag Westerståhl - 2016 - Erkenntnis 81 (4):721-739.
View all 20 citations / Add more citations
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