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cousin_it comments on How to deal with non-realism? - Less Wrong
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For what it's worth, I don't think your statements are self-evident. If the mathematical multiverse hypothesis is true, the underlying laws may well talk only about how the structure of a mind determines the probabilities of its sensory inputs, and nothing beyond that about the probability that something "actually exists". In that case different minds (even interacting ones) can perceive different physical worlds. I'd place a pretty high probability that the right answer is at least as strange.
If the mathematical multiverse hypothesis is true, then that is the underlying unique reality. The different physical worlds perceived by different minds are different parts of the mathematical multiverse. Minds perceive the physical world they are embedded in, and there is a fact of the matter as to which physical world a particular mind is embedded in, just as within our own physical world, our minds are embedded in particular locations and we perceive those locations rather than our entire physical world.