Chisholm's strict identity requires a determinate fact of the matter about which successor is numerically identical to the original, but psychological-continuity views explicitly deny this determinacy.

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Chisholm(as a philosopher being cited): Roderick Chisholm, an important 20th-century American philosopher who argued for essentialism (the view that things have properties they must have).
Numerically identical(as used to describe whether two agents are the exact same person): Being literally the same thing, not just similar or alike—like how the person you are today is numerically identical to the person you were yesterday (one and the same individual).
Strict identity(in metaphysics and logic): Perfect, absolute sameness in every way—if two things have strict identity, there is no meaningful difference between them whatsoever.
determinacy(Game theory, infinite games): The property that for any game property φ, either player i has a strategy to force a set of histories satisfying φ, or player j has a strategy to force ¬φ; formally: {i}φ ∨ {j}¬φ

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