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 is said to depend on a set of sentences iff the truth value of supervenes on the presence or absence of the sentences of in/from the extension of the truth predicate. Both and the members of 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. | |||||||||
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