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Ideas for 'Parmenides', 'Russell's Metaphysical Logic' and 'Physical Causation'

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8. Modes of Existence / B. Properties / 11. Properties as Sets
Construct properties as sets of objects, or say an object must be in the set to have the property [Linsky,B]
     Full Idea: Rather than directly constructing properties as sets of objects and proving neat facts about properties by proxy, we can assert biconditionals, such as that an object has a property if and only if it is in a certain set.
     From: Bernard Linsky (Russell's Metaphysical Logic [1999], 7.6)
     A reaction: Linsky is describing Russell's method of logical construction. I'm not clear what is gained by this move, but at least it is a variant of the usual irritating expression of properties as sets of objects.