Logicality and Invariance

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

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.

Similar books and articles

Ray on Tarski on logical consequence.William H. Hanson - 1999 - Journal of Philosophical Logic 28 (6):605-616.
Logical operations and invariance.Enrique Casanovas - 2007 - Journal of Philosophical Logic 36 (1):33 - 60.
Tarski's thesis.Gila Sher - 2008 - In Douglas Patterson (ed.), New Essays on Tarski and Philosophy. Oxford University Press. pp. 300--339.
Notions of Invariance for Abstraction Principles.G. A. Antonelli - 2010 - Philosophia Mathematica 18 (3):276-292.
Logical operations.Vann McGee - 1996 - Journal of Philosophical Logic 25 (6):567 - 580.
Logic, Logics, and Logicism.Solomon Feferman - 1999 - Notre Dame Journal of Formal Logic 40 (1):31-54.
On Tarski on models.Timothy Bays - 2001 - Journal of Symbolic Logic 66 (4):1701-1726.
Etchemendy, Tarski, and logical consequence.Jared Bates - 1999 - Southwest Philosophy Review 15 (1):47-54.
What is Tarski's common concept of consequence?Ignacio Jané - 2006 - Bulletin of Symbolic Logic 12 (1):1-42.
Set-theoretical Invariance Criteria for Logicality.Solomon Feferman - 2010 - Notre Dame Journal of Formal Logic 51 (1):3-20.

Analytics

Added to PP
2009-03-04

Downloads
1,093 (#6,369)

6 months
103 (#8,026)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Denis Bonnay
Université Paris Nanterre

References found in this work

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

View all 18 references / Add more references