I think that's actually a really terrible bit of arguing.
There are only two logically possible explanations: random chance, or design.
We can stop right there. If we're all the way back at solipsism, we haven't even gotten to defining concepts like 'random chance' or 'design', which presume an entire raft of external beliefs and assumptions, and we surely cannot immediately say there are only two categories unless, in response to any criticism, we're going to include a hell of a lot under one of those two rubrics. Which probability are we going to use, anyway? There are many more formalized versions than just Kolmogorov's axioms (which brings us to the analytic and synthetic problem).
And much of the rest goes on in a materialist vein which itself requires a lot of further justification (why can't minds be ontologically simple elements? Oh, your experience in the real world with various regularities has persuaded you that is inconsistent with the evidence? I see...) Even if we granted his claims about complexity, why do we care about complexity? And so on.
Yes, if you're going to buy into a (very large) number of materialist non-solipsist claims, then you're going to have trouble making a case in such terms for solipsism. But if you've bought all those materialist or externalist claims, you've already rejected solipsism and there's no tension in the first place. And he doesn't do a good case of explaining that at all.
Good points, but then likewise how do you define and import the designations of 'hand' or 'here' and justify intuitions or a axiomatic system of logic (and I understood Carrier to be referring to epistemic solipsism like Moore -- you seem to be going metaphysical)? (or were you not referring to Moore's argument in the context of skepticism?)
Here's the new thread for posting quotes, with the usual rules: