It's that particular kinds of brain damage can take away particular mental abilities, and there's a consistent correlation between the damage to the brain and the damage to the mind.
And particular damage to a radio receiver distorts the received signal in particular ways. So that argument isn't much help.
Well, the question is, do the specific effects of damage look more like the effects that the "radio receiver" hypothesis would predict, or the ones that the "electronic brain" hypothesis would predict?
There is a big difference between an audio distortion and a semantic distortion. The radio-receiver hypothesis predicts that we can introduce audio distortion, but not that we can make the voice stop talking about vegetables. If we can only get the former sort of effect, then we are messing with a device that didn't understand vegetables i...
No plot spoilers here, just wanted to flag a bit of poor reasoning that shows up in Chapter 39:
This is a surprisingly common fallacy. Just because X depends on Y, it doesn't follow that X depends on nothing but Y. A phenomenon may involve more than just its most obvious failure point.
To illustrate: Suppose I'm trapped in a box, and my only way to communicate with the outside world is via radio communication. Someone on the other end argues that I don't really exist -- "There's no person beyond the radio receiver, for if there was then there wouldn't be any such thing as damaged radios!" Pretty silly, huh? But people say this kind of thing in defense of physicalism all the time.
(N.B. This is not to defend the existence of souls. It's just to point out that this particular argument against them is invalid.)