Abstract
The Principle of the Identity of Indiscernibles (PII) claims that objects that share all of the same properties are the same object. If this claim is denied, then, as is commonly believed, the denier must accept the possibility of objects completely overlapping in space. Michael Della Rocca argues that this possibility is absurd, and therefore PII should be accepted. He claims that the problem with colocated objects lies in the inexplicability of the distinctness of the objects. This inexplicability, he argues, is contrary to the brute fact method of demonstrating the distinctness of objects in counterexamples to PII. Without any other method for demonstrating distinctness of qualitatively indiscernible objects deniers of PII are simply begging the question when they posit the possibility of distinct indiscernibles. I argue in this paper that a clear understanding of the different ways that objects can be colocated removes the counterintuitiveness of colocation, and thereby supports the denial of PII.
Highlights
Garrett | 19 that, in dealing with the problem of colocation, the denier of Principle of the Identity of Indiscernibles (PII) will undermine his own counterexamples
I will demonstrate that the only kinds of objects that can be in situations of qualitatively insignificant colocation are not the kinds of objects to which a number can be attributed, and for those kinds of objects colocation is unproblematic
Let us say that a case of complete colocation is qualitatively significant if there is a qualitative difference between the multitude of indiscernible colocated objects and a single one of those objects, and otherwise that the colocation is qualitatively insignificant
Summary
Garrett | 19 that, in dealing with the problem of colocation, the denier of PII will undermine his own counterexamples. The impossibility of colocation, he argues, leads us to the conclusion that the non-identity, that is, distinctness of objects must have a qualitative explanation. To understand Della Rocca’s argument it is important to first see how non-identity is explained in counterexamples to PII that do not contain colocation.
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