I haven't read the comments yet, so apologies if this has already been said or addressed:
If I am watching others debate, and my attention is restricted to the arguments the opponents are presenting, then my using the "one strong argument" approach may not be a bad thing.
I'm assuming that weak arguments are easy to come by and can be constructed for any position, but strong arguments are rare.
In this situation I would expect anybody who has a strong argument to use it, to the exclusion of weaker ones: if A and B both have access to 50 weak arguments, and A also has access to 1 strong argument, then I would expect the debate to come out looking like (50weak) vs. (1strong) - even though the underlying balance would be more like (50weak) vs. (50weak + 1strong).
(By "having access to" an argument, I mean to include both someone's knowing an argument, and someone's having the potential to construct or come across an argument with relatively little effort.)
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How are you defining territory here? If the territory is 'reality' the only place where quantum mechanics connects to reality is when it tells us the outcome of measurements. We don't observe the wavefunction directly, we measure observables.
I think the challenge of MWI is to make the probabilities a natural result of the theory, and there has been a fair amount of active research trying and failing to do this. RQM side steps this by saying "the observables are the thing, the wavefunction is just a map, not territory."
To my very limited understanding, most of QM in general is completely unnatural as a theory from a purely mathematical point of view. If that is actually so, what precisely do you mean by "natural result of the theory"?