If personal identity reduces to an overall organization, then gradual replacement of all constituents while preserving organization preserves identity, yielding the counterintuitive result that a ship of Theseus and a person share the same identity criterion.

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Counterintuitive(describes the strange result that the statement's logic produces): A conclusion that seems wrong or goes against what we'd normally expect, even if it might be logically correct.
Preserving organization(describes what happens when parts are replaced but the overall structure stays the same): Keeping the same structure or pattern intact, even if the individual pieces change—like how a recipe stays the same even with different ingredients.
Reduces to(describes the relationship between identity and organization): When one thing can be completely explained by or broken down into something simpler; here, the idea that personal identity is nothing more than organizational structure.
Ship of Theseus(the classic puzzle being referenced as an example): A famous ancient thought experiment: if you replace every plank of wood on a ship one by one, is it still the same ship? It's used to explore what makes something stay the same over time.

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