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Full Idea
Though the successive consciousnesses which we have of our own existence are not the same, yet they are consciousnesses of one and the same thing or object; of the same person, self, or living agent.
Gist of Idea
Despite consciousness fluctuating, we are aware that it belongs to one person
Source
Joseph Butler (Analogy of Religion [1736], App.1)
Book Ref
'Personal Identity', ed/tr. Perry,John [University of California 1975], p.102
A Reaction
Butler's arguments seems to be that he appears to be the same person, so he is the same person. He is explicitly disagreeing with Locke.