A contextual-hierarchical approach to truth and the liar paradox

Journal of Philosophical Logic 33 (1):27-88 (2004)
This paper presents an approach to truth and the Liar paradox which combines elements of context dependence and hierarchy. This approach is developed formally, using the techniques of model theory in admissible sets. Special attention is paid to showing how starting with some ideas about context drawn from linguistics and philosophy of language, we can see the Liar sentence to be context dependent. Once this context dependence is properly understood, it is argued, a hierarchical structure emerges which is neither ad hoc nor unnatural
Keywords admissible sets  infinitary logic  Liar paradox  truth
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DOI 10.1023/B:LOGI.0000019227.09236.f5
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Ian Rumfitt (2014). I—Truth and Meaning. Aristotelian Society Supplementary Volume 88 (1):21-55.
Michael Glanzberg (2004). Quantification and Realism. Philosophy and Phenomenological Research 69 (3):541–572.

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