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REVISION THEORY WITHOUT $\omega $
-INCONSISTENCY
- Part of
-
- Journal:
- The Review of Symbolic Logic / Volume 19 / Issue 3 / September 2026
- Published online by Cambridge University Press:
- 30 April 2026, pp. 602-633
- Print publication:
- September 2026
-
- Article
-
- You have access
- Open access
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An apparent issue for the Revision Theory of definitions has long been that its most plausible versions engender $\omega $
-inconsistencies. In this paper I develop a new $\omega $
-consistent revision theory and use it to argue that revision theorists can and should embrace $\omega $
-consistency. I show how my theory, called $\mathbf {S}^{\#N}$
, withstands the theoretical pressures towards $\omega $
-inconsistency and moreover compares favorably to the best $\omega $
-inconsistent theories vis-à-vis several important desiderata. I tentatively conclude that $\mathbf {S}^{\#N}$
is the best known revision theory.
