In J. M. Monnoyer (ed.), La Structure du Monde: Objets, Propriétés, États du Choses. Paris: Vrin. pp. 141-184 (2004)

Barry Smith
State University of New York, Buffalo
The truthmaker theory rests on the thesis that the link between a true judgment and that in the world to which it corresponds is not a one-to-one but rather a one-to-many relation. An analogous thesis in relation to the link between a singular term and that in the world to which it refers is already widely accepted. This is the thesis to the effect that singular reference is marked by vagueness of a sort that is best understood in supervaluationist terms. In what follows we show that the supervaluationist approach to singular reference, when wedded to the truthmaker idea, yields a framework of surprising power, which offers a uniform set of solutions to a range of problems regarding identity, reference and knowledge, problems which have hitherto been dealt with on an ad hoc basis.
Keywords granular partitions  granularity-dependence of vagueness
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Ontological Relativity.W. V. Quine - 1968 - Journal of Philosophy 65 (7):185-212.
The Problem of the Many.Peter Unger - 1980 - Midwest Studies in Philosophy 5 (1):411-468.
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On Drawing Lines on a Map.Smith Barry - 1995 - Spatial Information Theory. A Theoretical Basis for Gis:475--484.

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