What do you do when someone says 1+2 = a potato? What do you correct? The potato or the 1+2?
That's why Jabba insists on the small, narrowly focused discussion and eschews the big picture. He likely knows that his proof fails spectacularly at the high level because it really does perform the equivalent of arithmetic on vegetables. He poses the problem
1 + ______ = potato
and claims to be the genius who can fill in the blank with the "correct" value. He says it's 10
-100 but can't explain the arithmetic or the theory beyond that bare naked
ipse dixit. He bumps up against the fundamental problem of arithmetic not being defined over vegetables (except for pedagogical purposes -- "If Timmy has two potatoes..."). When people point that out to him, his distractive answer is to simply ask what better number fills in the blank, not to explain how adding vegetables is supposed to work. In godless dave's words, "I object to your whole approach."
The right answer, of course, is to point out that the problem -- as formulated -- is absurd on its face. And when we reduce his logic to this sort of example, it refutes itself. But fringe claimants are fairly good at disguising absurdity, usually by shoving it into some specialist realm. JFK conspiracy theorists couch their theories in law or investigative specialties. Moon mission deniers express theirs in terms of engineering and astrophysics. UFO believers (oddly enough) frame their theories in the language of politics and coverup. The common thread is invocation of specialized knowledge that the author claims to know but the reader certainly does not.
The layman won't see the absurdity. The informed reader does, but is left with little correct recourse beyond saying, "That's absurd on its face." A true statement, but one that the unscrupulous author can easily spin for his lay audience as unsophisticated and therefore just a knee-jerk emotional answer from inept and confused critics. "See, all those skeptics can do with my argument is insult it." The fringe claimant often successfully begs the validity of his method in a way that a lay audience is not likely to question.
But then see how Jabba flails and flusters when he has to actually explain to actual mathematicians how to do arithmetic on a potato. A couple weeks ago I wrote a lengthy exposition about how Bayes is actually used in scientific reasoning. In that post, I pointed out that Bayes in its purest form is simply about how two events affect each other. Jabba didn't understand, and tried to object to the notion that Bayes and its "likelihoods" were about hypotheses, not events. That was his pidgin understanding of statistical inference. Now, today, that sentiment I expressed before has suddenly made an unexpected and inappropriate appearance in his answer to jsfisher. "No, you don't understand," says Jabba, and simply regurgitates what one of his critics said previously, in a different context, and to which Jabba once objected. It's not hard to see what's happening here. Jabba has no idea how to explain "potatomathics," so he's blustering and bluffing in the hope that cargo-culty handwaving will make it seem like he's both knowledgeable and correct. But in fact he's stuck his foot in his mouth. He's neither knowledgeable nor correct, nor does what he say affect jsfisher's post in any way. It made sense when
I said it, in a wholly different context. But it doesn't make sense as a response there.
The goal is to maintain the illusion for the gullible "neutral jury" that the claimant is properly informed and has a plausible, detailed correction of his critic. It tries to say, "No, my reasoning isn't absurd; you just don't understand it. Here, let me say some gobbledygook that just repeats the absurdity but does so in a way that people who don't know what I'm talking about will be impressed."
You're right: it's very insidious. Jabba wants to control the debate in a way that never focuses on enough of the argument to see how absurd it really is. In the problem above he wants to debate number theory when talking about where the "1+" part comes from, and then "leave that behind" and pontificate about agriculture and cooking when talking about the potato part -- ignoring that the parts of his argument just don't fit together the way he claims. If I've achieved anything in this debate that I can be proud of, it has been to elicit from Jabba a frank admission that he's unable to have this debate unless he can employ this and other manipulative tricks.