Full Idea
When a predicate applies truly to an object, it does so in virtue of designating a property possessed by that object and by every object to which the predicate truly applies (or would apply).
Gist of Idea
A predicate applies truly if it picks out a real property of objects
Source
John Heil (From an Ontological Point of View [2003], 03.3)
Book Reference
Heil,John: 'From an Ontological Point of View' [OUP 2005], p.26
A Reaction
I am sympathetic to Heil's aim of shifting our attention from arbitrary predicates to natural properties, but it won't avoid Fodor's problem (Idea 7014) that all kinds of whimsical predicates will apply 'truly', but fail to pick out anything significant.
Related Idea
Idea 7014 A particle and a coin heads-or-tails pick out to perfectly well-defined predicates and properties [Fodor]