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In connection with this objection, one should take note of therecently developed “multiple realizability” view of truth,according to which truth is not to be identifiedwith correspondence to fact but can be realized bycorrespondence to fact for truthbearers of some domains of discourseand by other properties for truthbearers of other domains ofdiscourse, including “flagged” domains. Though it retainsimportant elements of the correspondence theory, this view does not,strictly speaking, offer a response to the objection on behalf of thecorrespondence theory and should be regarded as one of its competitors(see below, Section 8.2).
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The correspondence theory of truth expresses the very natural ideathat truth is a content-to-world or word-to-world relation: what wesay or think is true or false in virtue of the way the world turns outto be. We suggested that, against a background like the metaphysicsof facts, it does so in a straightforward way. But the idea ofcorrespondence is certainly not specific to this framework. Indeed, itis controversial whether a correspondence theory should rely on anyparticular metaphysics at all. The basic idea of correspondence, asTarski (1944) and others have suggested, is captured in the sloganfrom Aristotle's Metaphysics Γ 7.27, “to say ofwhat is that it is, or of what is not that it is not, is true”(Ross, 1928). ‘What is’, it is natural enough to say, is afact, but this natural turn of phrase may well not require afull-blown metaphysics of facts.