Probability for the Revision Theory of Truth
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Journal of Philosophical Logic. Springer Science+Business Media B.V.. 2019, 48(1), pp. 87-112. ISSN 0022-3611. eISSN 1573-0433. Available under: doi: 10.1007/s10992-018-9475-0
Zusammenfassung
We investigate how to assign probabilities to sentences that contain a type-free truth predicate. These probability values track how often a sentence is satisfied in transfinite revision sequences, following Gupta and Belnap’s revision theory of truth. This answers an open problem by Leitgeb which asks how one might describe transfinite stages of the revision sequence using such probability functions. We offer a general construction, and explore additional constraints that lead to desirable properties of the resulting probability function. One such property is Leitgeb’s Probabilistic Convention T, which says that the probability of φ equals the probability that φ is true.
Zusammenfassung in einer weiteren Sprache
Fachgebiet (DDC)
100 Philosophie
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Liar paradox, semantic paradox, revision theory of thruth, probabilistic convention T
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CAMPBELL-MOORE, Catrin, Leon HORSTEN, Hannes LEITGEB, 2019. Probability for the Revision Theory of Truth. In: Journal of Philosophical Logic. Springer Science+Business Media B.V.. 2019, 48(1), pp. 87-112. ISSN 0022-3611. eISSN 1573-0433. Available under: doi: 10.1007/s10992-018-9475-0BibTex
@article{CampbellMoore2019-02Proba-48666, year={2019}, doi={10.1007/s10992-018-9475-0}, title={Probability for the Revision Theory of Truth}, number={1}, volume={48}, issn={0022-3611}, journal={Journal of Philosophical Logic}, pages={87--112}, author={Campbell-Moore, Catrin and Horsten, Leon and Leitgeb, Hannes} }
RDF
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