A property with a 'gap' remains an abstract incomplete entity until bound; the binding itself is an additional ontological commitment that cannot be absorbed into the property's structure.
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(Fregean account of how properties connect to objects)
An incompleteness or open place in a property that can be filled by an object, allowing the property to apply without a separate instantiation relation.
ontological commitment(Used to derive that literal truth of 'a is F' entails existence of a)
The criterion by which acceptance of a sentence as literally true commits one to the existence of the objects referred to by singular terms in that sentence, provided the sentence cannot be paraphrased away.