Journal of Symbolic Logic
- J. Symbolic Logic
- Volume 66, Issue 4 (2001), 1959-1973.
Disquotational Truth and Analyticity
The uniform reflection principle for the theory of uniform T-sentences is added to PA. The resulting system is justified on the basis of a disquotationalist theory of truth where the provability predicate is conceived as a special kind of analyticity. The system is equivalent to the system ACA of arithmetical comprehension. If the truth predicate is also allowed to occur in the sentences that are inserted in the T-sentences, yet not in the scope of negation, the system with the reflection schema for these T-sentences assumes the strength of the Kripke-Feferman theory KF, and thus of ramified analysis up to $\varepsilon_0$.
J. Symbolic Logic, Volume 66, Issue 4 (2001), 1959-1973.
First available in Project Euclid: 6 July 2007
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Halbach, Volker. Disquotational Truth and Analyticity. J. Symbolic Logic 66 (2001), no. 4, 1959--1973. https://projecteuclid.org/euclid.jsl/1183746637