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I like the answer by some philosopher that we have a sense of object permanence. If your neighbor replaced different parts of his house over several years until they all were replaced, you’d likely say it was the same house because at every point in time, it was there. But if one day he knocked the whole things down and rebuilt it exactly the same as it had been, you’d say it was a different house because there was that moment when it wasn’t there.
I like calling this the ‘continuity’ answer, and it’s my thinking as well