And it sounds like you don't take an NDE at face value because you don't want it to be evidence of an afterlife. I do agree with you that the evidence it points to at face value is "naturalistic". It is just the way nature is.
Stimulating an experience does not make that experience false when it has not been artificially stimulated. It just means it is an "experience" and not a cultural artifact.
I am aware that MWI thinks it is superior by not letting the wave function collapse. This actually makes it vague, sort of on the order of removing the 5th, parallel, postulate from Euclid's geometry. Doing that would make Euclid more "parsimonious" at the expense of not being able to derive much about parallel lines. If Euclid had claimed that each configuration of the parallel postulate represented another real "world" that no one could see, so no one could refute, he would have anticipated MWI.
Otherwise, MWI takes a free ride on the results obtained from the Copenhagen interpretation. If it didn't it would be false.
There is also a MWI belief that by removing the wave function collapse, determinism and locality are restored. I don't think that has been proven. It is more of an assumption or metaphysical dogma that after one floods reality with a non-parsimonious infinity of universes the uncertainty of quantum mechanics would magically go away. I don't think one can make it go away even with MWI.
What makes you think it doesn't?
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Now, how do we tie all this back to Hitchens and his distaste for Gods?
Perhaps we can consider it like this. If materialism, where all causality is reducible to either chance or the actions of chemistry, were true, then the Gods that Hitchens could imagine, God of the Gaps, Deism, intelligent design Gods, would exist to support that deterministic universe. In such a universe, I wouldn't care if these Gods existed or not.
However, if the universe is not deterministic, and it is not, then not only do all these deistic Gods have to go, but so does MWI and materialistic metaphysics.



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