If persons were property instances, personal identity across time would collapse into qualitative similarity, contradicting Chisholm's strict criterion of haecceity-based identity.

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Haecceity-based identity(as Chisholm's strict criterion for personal identity): The idea that what makes you yourself isn't just having the same qualities, but having a unique individual essence that can't be swapped with anyone else.
Personal identity across time(as the main problem being discussed): The philosophical puzzle of what makes you the same person now as you were yesterday, or 10 years ago, even though your body and mind have changed.
Property instances(particular cases of a characteristic): Specific examples of a quality or characteristic in a particular person or object (like 'Socrates being rational' is one instance of the property of rationality).
Roderick Chisholm(as referenced by name in the statement): A 20th-century American philosopher known for developing detailed theories about knowledge, justified belief, and how much evidence we need to believe something.

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