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I don't think MWI is sufficiently well defined or understood for it to be known whether or not that is implied. For example it would not be the case in Robin Hanson's mangled worlds proposal, and no one knows whether that proposal is correct or not.
If it's worth saying, but not worth its own post, then it goes here.
Notes for future OT posters:
1. Please add the 'open_thread' tag.
2. Check if there is an active Open Thread before posting a new one. (Immediately before; refresh the list-of-threads page before posting.)
3. Open Threads should start on Monday, and end on Sunday.
4. Unflag the two options "Notify me of new top level comments on this article" and "