  Most formulations of the Principle carry a prima facie commitment to an ontology of properties, but nominalists of various kinds should have little difficulty in providing suitable paraphrases to avoid this commitment. (For instance, by using plural quantification. See Boolos 1984, Linnebo 2009, §2.1.) Most interesting in this context is the way the Principle can be stated in terms of resemblance without any mention of properties at all. Thus the Strong Principle might be formulated as denying that distinct substances ever exactly resemble, and the Weak Principle as denying that distinct states of affairs ever exactly resemble. 