Review of Symbolic Logic 7 (1):1-30 (2014)
Abstract |
We show how in the hierarchies${F_\alpha }$of Fieldian truth sets, and Herzberger’s${H_\alpha }$revision sequence starting from any hypothesis for${F_0}$ that essentially each${H_\alpha }$ carries within it a history of the whole prior revision process.As applications we provide a precise representation for, and a calculation of the length of, possiblepath independent determinateness hierarchiesof Field’s construction with a binary conditional operator. We demonstrate the existence of generalized liar sentences, that can be considered as diagonalizing past the determinateness hierarchies definable in Field’s recent models. The ‘defectiveness’ of such diagonal sentences necessarily cannot be classified by any of the determinateness predicates of the model. They are ‘ineffable liars’. We may consider them a response to the claim of Field that ‘the conditional can be used to show that the theory is not subject to “revenge problems”.’
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DOI | 10.1017/s1755020313000361 |
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References found in this work BETA
The Revision Theory of Truth.Vann Mcgee - 1996 - Philosophy and Phenomenological Research 56 (3):727-730.
A Revenge-Immune Solution to the Semantic Paradoxes.Hartry Field - 2003 - Journal of Philosophical Logic 32 (2):139-177.
View all 16 references / Add more references
Citations of this work BETA
Generalized Revenge.Julien Murzi & Lorenzo Rossi - 2020 - Australasian Journal of Philosophy 98 (1):153-177.
Guest Editors’ Introduction.Riccardo Bruni & Shawn Standefer - 2019 - Journal of Philosophical Logic 48 (1):1-9.
Revision Revisited.Leon Horsten, Graham E. Leigh, Hannes Leitgeb & Philip Welch - 2012 - Review of Symbolic Logic 5 (4):642-664.
Probability for the Revision Theory of Truth.Catrin Campbell-Moore, Leon Horsten & Hannes Leitgeb - 2019 - Journal of Philosophical Logic 48 (1):87-112.
Some Observations on Truth Hierarchies: A Correction.Philip D. Welch - 2020 - Review of Symbolic Logic 13 (4):857-860.
View all 11 citations / Add more citations
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