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LINGUISTIX&LOGIK, Tony Marmo's blog
Wednesday, 14 September 2005

Topic: defl@tionism

Disquotationalism and Expressiveness


By Gary Kemp

With a truth-predicate ‘True’ we can write:
(1) ∀x[φ(x) → True(x)]

We expect this to be equivalent in some suitable sense to the infinite set of instances of φSi→Si. We expect the truth-predicate to enable us to express infinite conjunctions (or infinite disjunctions, in the case of existential generalisations), where no conjunct (disjunct) expresses anything not expressible without a truth-predicate. According to standard deflationism, since the expression of such generalisations is the only theoretically essential role discharged by a truth-predicate, adding a truth-predicate to a language does not extend the domain of facts treated of by the language.(...)

Posted by Tony Marmo at 00:01 BST
Updated: Wednesday, 14 September 2005 00:23 BST

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