This man actually has a degree in mathematical logic, but everything he argues seems to consist of two rules:
1) Assign acronyms to things, and then make truth value statements with no regard to actual logical relationships. ("If we call belief in Torah 'BIT,' and we assign variable 'BIT' a truth value of 'true,' we find that belief in Torah is unquestionably true.")
2) Bring up simple-sounding examples that have no relevant relationship to what you are discussing. ("If Reuven and Shimon are on a boat and Reuven falls off, surely we would say there are now fewer people on the boat. Similarly, the Torah is unquestionably true.")
In the above link, Rabbi Gottlieb responds to the point that belief in mass revelation could have developed gradually by myth formation, as opposed to his strawman in his "Kuzari Principle." The first three-fourths of the response consists of rule #2 being applied. ("But you see, something can be possible but implausible." Yeah, thanks.)
His actual argument (in the last two paragraphs) consists of rule #1: A myth process would probably lead to a belief that is false. But a National Experiential Tradition ("NET") is true, so it cannot have come from a myth.
Sorry? Does he think that makes any sense? Yes, the point of the myth development idea is to show how it could be false. That you previously ignored the realistic scenarios in which it could be false does not mean that those scenarios are now inapplicable, just because you already labeled it as true.
MAYBE--and just maybe--this kind of thing would be forgivable (with an eye roll) for someone who truly had no way of knowing better whatsoever. But Rabbi Gottlieb should. And so: what a putz.