A theory that must import brute-force uniqueness constraints to block counterexamples reveals its core criterion is insufficient to do the explanatory work a theory of personal identity requires.
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Theory(Among the candidate bearers of consistency/inconsistency)
A set of sentences closed under logical consequence.
Uniqueness constraints(referring to added restrictions)
Special rules added to a theory to make sure there's only one right answer in particular situations, often to patch holes in the theory.
counterexamples(as evidence used to challenge the justified true belief analysis)
Specific cases or scenarios that prove a general claim or definition wrong by showing an exception to the rule.
personal identity(Philosophy of personal identity)
The relation of sameness holding between a person existing at one time and something existing at another time, analyzed here in terms of psychological continuity