My main argument is that most likely none of us really knows enough about mathematics of quantum mechanics to follow emergence of patterns of observable universe out of MWI. My quantum maths stops at quantum computing, which is MWI-interpretable, and Copenhagen-interpretable equally well.
The second argument is that our view of physics is incomplete - we don't know about quantum gravity, our cosmology is ridiculous, filled with inflation, dark matter, dark energy etc., we don't know if there are any tiny non-linearities in 200th decimal place with quantum systems (no physical law so far withstood this). MWI completely fails if any such non-linearities are present, while other theories can handle them. Quantum computers are also spectacularly precise quantum effect measurement devices, so we might find that out.
I find the case for MWI decent, but nowhere near as overwhelming as the usual examples of theism and marijuana legalization. It can collapse with one experiment, and I'm not betting against such experiment happening in my lifetime at odds higher than 10:1.
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"Reason" does not appear to be the right term here. "Cleverness" comes to mind as a better substitute, though I suspect there are better terms. The banking crisis occurred because people thought they were too clever. The various problematic causes you mention all appear to overestimate their own cleverness. It's also unclear to me what it would mean for them to rely on reason less, and how this would cause their worldview to better match reality.
I think this might be best phrased as an objection to an overreliance on clever theories and a tendency to eschew evidence in favor of cleverness. Insofar as that is your point, it is an excellent if not novel one. But the way this is phrased is a bit more antagonistic than I think is merited, and seems to attack a type of thought rather than a specific error that a type of thought is prone to.
If my semantic distinction does not make sense, let me just explain my connotations. When I hear "reason," I tend to think of it much like "rational;" one definitionally cannot make a mistake through being too rational, in that rationality is the thing that having more of it causes you not to make mistakes. "Cleverness," on the otherhand, brings the same intellectual sleight-of-hand without any connotation of accuracy. The sentence, "Bob lost all his money because he was too reasonable," does not really make sense, whereas, "Bob lost all of his money because he was too clever," does. A good example of being too clever would be the demise of Vizzini from the Princess Bride.
Yes.
The things Shalmanese is labeling "reason" and "evidence" seem to closely correspond to what have been previously been called the inside view and outside view, respectively (both of which are modes of reasoning, under the more common definition).