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Yes, you highlight the massive difference between what @GaryMarcus is saying and what @yudapearl has said. Pearl provided the much needed insight as to why inductive learning has its limitations. Marcus by contrast is arguing on a hunch without any rigorous analysis.
No, you just haven’t read it. There’s a very detailed analysis of what happens in various language models with and without operations over variables in Chapter 3 of The Algebraic Mind, recently replicated and extended by @LakeBrenden and others.
Well, I suspect that a majority of AI practitioners don't understand specifically the kind of 'symbol manipulation' that you are advocating. Perhaps a short elevator pitch is in order?
I think it's most interesting to consider #AI systems that can learn to emulate symbol manipulation reasonably well but without it being their native mode of operation. Like humans, these systems would likely be prone to errors in manipulating those symbols.
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