So for each of these universes, our probability of it being the “true reality”, and us actually being a freak observer in it is nonzero.
There is a large gap between “nonzero” and “big enough to matter for any decision I will ever make”. We are talking a smallness well below .
Here’s a source of “freak observers” in Tegmark level 4: the number between 0 and 1 whose decimal expansion is the concatenation of all Turing machines applied to all finite initial tapes. Everyone and everything computable is in there, countably many times. How concerned am I? Not at all. What does it even mean to say that “I” am in there? “I” is only a single point in a continuous landscape of entities like me or less like me or nothing like me, with nothing to single one out as “me” without already knowing what “me” is.
The only way to find a book in the Library of Babel is to write it oneself.
There is a large gap between “nonzero” and “big enough to matter for any decision I will ever make”. We are talking a smallness well below
Here’s a source of “freak observers” in Tegmark level 4: the number between 0 and 1 whose decimal expansion is the concatenation of all Turing machines applied to all finite initial tapes. Everyone and everything computable is in there, countably many times. How concerned am I? Not at all. What does it even mean to say that “I” am in there? “I” is only a single point in a continuous landscape of entities like me or less like me or nothing like me, with nothing to single one out as “me” without already knowing what “me” is.
The only way to find a book in the Library of Babel is to write it oneself.
Sure, that’s the measure question that I leave open!