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We Do Not Count by Identity

It is widely assumed in psychology, philosophy, and linguistics that we count by identity. For example, to count the dogs by identity, we correlate each dog that isn't identical to the rest with a natural number, starting with one and assigning each successive dog the successive natural number. When we run out of distinct dogs, we've yielded a correct count. I argue that this model of counting is incorrect. We do not count by identity.