The apparent force of the gradual-replacement argument depends on the four-dimensionalist conflation of temporal stages with persisting objects, a conflation Kripkean ontology rejects.
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Things that continue to exist over time and remain the same object even as they change (like a chair that stays a chair even after repair).
Saul Kripke(in 20th-century philosophy)
An influential modern philosopher who developed new ways of thinking about meaning, necessity, and possibility by using the idea of 'possible worlds.'
Temporal stages(as used in metaphysics)
Temporary versions or slices of an object as it exists at different moments in time.
four-dimensionalism(metaphysics of identity and time)
The philosophical view that objects (including people) are made up of temporal parts or stages, just like a physical object has spatial parts; you exist across time like a movie reel exists as many frames.