Journal of Symbolic Logic 66 (4):1959-1973 (2001)
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Abstract |
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 go.
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Keywords | Analyticity Disquotationalism KF Truth |
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DOI | 10.2307/2694987 |
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References found in this work BETA
The Deflationary Conception of Truth.Hartry Field - 1986 - In G. MacDonald & C. Wright (eds.), Fact, Science and Morality. Blackwell. pp. 55-117.
View all 25 references / Add more references
Citations of this work BETA
Is Deflationism Compatible with Compositional and Tarskian Truth Theories?Lavinia Maria Picollo & Thomas Schindler - 2021 - In Carlo Nicolai & Johannes Stern (eds.), Modes of Truth. Routledge.
View all 17 citations / Add more citations
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