What truth depends on

Journal of Philosophical Logic 34 (2):155-192 (2005)
Abstract
What kinds of sentences with truth predicate may be inserted plausibly and consistently into the T-scheme? We state an answer in terms of dependence: those sentences which depend directly or indirectly on non-semantic states of affairs (only). In order to make this precise we introduce a theory of dependence according to which a sentence φ is said to depend on a set Φ of sentences iff the truth value of φ supervenes on the presence or absence of the sentences of Φ in/from the extension of the truth predicate. Both φ and the members of Φ are allowed to contain the truth predicate. On that basis we are able define notions such as ungroundedness or self-referentiality within a classical semantics, and we can show that there is an adequate definition of truth for the class of sentences which depend on non-semantic states of affairs
Keywords dependence  self-referentiality  supervenience  truth  ungroundedness
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    Leon Horsten (2010). Impredicative Identity Criteria. Philosophy and Phenomenological Research 80 (2):411-439.

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