Achille Varzi [2000] has suggested a nice response to the familiar argument purporting to establish the existence of perfectly coinciding objects -objects which, if they existed, would trouble mereological extensionality and the "Minimalist View" of ontology. The trick is to defend Minimalism without tarnishing its status as a meta-principle: that is, without making any firstorder ontological claims. Varzi's response, though seeming to allow for a comfortable indifference about metaphysical matters peripheral to Minimalism, is not general enough to stave off attacks on extensionality from more sophisticated corners. However, Varzi's argument bears a kinship with a more general argument against coincident objects. I consider how such an argument sits with the meta-doctrinal status of Minimalism.The Cat and the Catstuff I want you to consider first off, without preface or context, two questions: (I) Can a cat survive the loss of its tail? and (II) Can a certain quantity of stuff survive the loss of any of its parts? A natural answer -one that accords with so-called "ordinary intuitions" -calls for mereological essentialism regarding quantities of stuff but denies that doctrine when it comes to cats. Such a stance, however, leaves the door open to a well-known argument for the existence of perfectly coinciding objects, the existence of which runs contrary to other ordinary intuitions.
1Cast the argument like so: Let 'Tibbles' name a certain cat and 'Tib+Tail' name the mereological sum of Tibbles' body and her tail -or if you like, the quantity of "catstuff " or collection of simples, out of which Tibbles is made. According to our natural stance: (1) Tibbles can survive loss of its tail, (2) Tib+Tail cannot survive loss of its tail. But then there is a property which Tibbles has and Tib+Tail lacks: Tibbles, but not Tib+Tail can survive loss of a tail. So they must be distinct. If the argument is sound, Vol. 57, N o 3 (2003), pp. 323-329 † Department of Philosophy, Columbia University, New York; Email: matthew.slater@ columbia.edu 1 The questions of whether this stance is natural or whether there is at bottom any sense to such a compliment are quite beside the point here. I mean to use "natural" only as a convenient label. The important question is how this stance troubles mereological extensionality.
Dialectica