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"He has discredited his mind?" This sentence does not make sense to me. Explain what you mean by this statement. I found his NYT piece well argued. How can you fix any language model similar to ChatGPT to prevent the mistakes shown in the article? (I don't think you can).
your first argument is useless, as anything might be a path to AGI ... first order logic / expert systems are ...
regarding empirical data, you are bringing up anecdotes that don't hold up. Humans can often learn a concept from 1-2 instances (take the face of Albert Einstein) (even your kids can do that in grammar :) , maybe check how language models are trained in comparison.
do you have any references for your claims? How much data does a human need to learn grammar? do you have any estimate?
you say you can refute Chomsky's claims by empirical data. please show me that data/studies, don't talk about anecdotes from your kids.
"His claims are simply false, easily refuted by empirical data."
he underlines his claims with examples showing what he means. I recommend you to read the original article by Chomsky, as you seem to have a problem understanding his arguments.