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8. Modes of Existence / B. Properties / 11. Properties as Sets

[properties are just classes of certain objects]

20 ideas
Russell refuted Frege's principle that there is a set for each property [Sorensen on Russell]
Properties are the respects in which objects resemble, which places them in classes [Martin,CB]
Properties and relations are discovered, so they can't be mere sets of individuals [Ellis]
Treating predicates as sets drops the predicate for a new predicate 'is a member of', which is no help [Davidson]
While no two classes coincide in membership, there are distinct but coextensive attributes [Cartwright,R]
The property of being F is identical with the set of objects, in all possible worlds, which are F [Cameron on Lewis]
Properties don't seem to be sets, because different properties can have the same set [Lewis]
Accidentally coextensive properties come apart when we include their possible instances [Lewis]
A property is the set of its actual and possible instances [Oliver on Lewis]
It would be easiest to take a property as the set of its instances [Lewis]
If a property is relative, such as being a father or son, then set membership seems relative too [Lewis]
Trilateral and triangular seem to be coextensive sets in all possible worlds [Lewis]
I believe in properties, which are sets of possible individuals [Lewis]
A property is any class of possibilia [Lewis]
Properties are sets of their possible instances (which separates 'renate' from 'cordate') [Mellor/Oliver on Lewis]
Properties are classes of possible and actual concrete particulars [Koslicki on Lewis]
If classes can't be eliminated, and they are property combinations, then properties (universals) can't be either [Jacquette]
Properties have causal roles which sets can't possibly have [Heil]
Logicians use 'property' and 'set' interchangeably, with little hanging on it [Shapiro]
The best-known candidate for an identity condition for properties is necessary coextensiveness [Swoyer]