Logicality and Invariance
Bulletin of Symbolic Logic 14 (1):29-68 (2006)
| 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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William H. Hanson (1999). Ray on Tarski on Logical Consequence. Journal of Philosophical Logic 28 (6):605-616.
Ignacio Jané (2006). What is Tarski's Common Concept of Consequence? Bulletin of Symbolic Logic 12 (1):1-42.
Jared Bates (1999). Etchemendy, Tarski, and Logical Consequence. Southwest Philosophy Review 15 (1):47-54.
Timothy Bays (2001). On Tarski on Models. Journal of Symbolic Logic 66 (4):1701-1726.
Solomon Feferman (1999). Logic, Logics, and Logicism. Notre Dame Journal of Formal Logic 40 (1):31-54.
Vann McGee (1996). Logical Operations. Journal of Philosophical Logic 25 (6):567 - 580.
G. A. Antonelli (2010). Notions of Invariance for Abstraction Principles. Philosophia Mathematica 18 (3):276-292.
Enrique Casanovas (2007). Logical Operations and Invariance. Journal of Philosophical Logic 36 (1):33 - 60.
Solomon Feferman (2010). Set-Theoretical Invariance Criteria for Logicality. Notre Dame Journal of Formal Logic 51 (1):3-20.
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