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Ok, if you are referring to who I am in my post - I am me, the original me that stepped into the box. Despite claims to the contrary, a copy and the original are NOT the same thing. They may be equivalent from the outside, but the I that inhabits this mind would cease to be were my mind destroyed and re-created elsewhere.
If you took two slugs (slugs have very simple nervous-systems) and put them in the machine, one of the slugs would end and another one would be created. They might be thinking the same thing, but they're still two different slugs.
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