Higher-Order One-Many Problems in Plato's Philebus and Recent Australian Metaphysics

Author: Gibbons S.   Legg C.  

Publisher: Routledge Ltd

ISSN: 0004-8402

Source: Australasian Journal of Philosophy, Vol.91, Iss.1, 2013-03, pp. : 119-138

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Abstract

We discuss the one-many problem as it appears in the Philebus</i> and find that it is not restricted to the usually understood problem about the identity of universals across particulars that instantiate them (the Hylomorphic Dispersal Problem</i>). In fact some of the most interesting aspects of the problem occur purely with respect to the relationship between Forms. We argue that contemporary metaphysicians may draw from the Philebus</i> at least three different one-many relationships between universals themselves: instantiation</i>, subkind</i> and part</i>, and thereby construct three new `problems of the one and the many' (an Eidetic Dispersal Problem</i>, a Genus-Species Problem</i>, and an Eidetic Combination Problem</i>), which are as problematic as the version generally discussed. We then argue that this taxonomy sheds new and interesting light on certain discussions of higher-order universals in recent Australian analytic philosophy.