Forms of correspondence: the intricate route from thought to reality

In Nikolaj Jang Lee Linding Pedersen & Cory Wright (eds.), Truth and Pluralism: Current Debates. Oxford University Press. pp. 157--179 (2013)
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Abstract
The paper delineates a new approach to truth that falls under the category of “Pluralism within the bounds of correspondence”, and illustrates it with respect to mathematical truth. Mathematical truth, like all other truths, is based on correspondence, but the route of mathematical correspondence differs from other routes of correspondence in (i) connecting mathematical truths to a special aspect of reality, namely, its formal aspect, and (ii) doing so in a complex, indirect way, rather than in a simple and direct way. The underlying idea is that an intricate mind is capable of creating intricate routes from language to reality, and this enables it to apply correspondence principles in areas for which correspondence is traditionally thought to be problematic.
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