The neural program synthesis community has been working on neural + symbolic methods for programming (and by extension, symbol manipulation) for some time now. There has been some progress; see https://arxiv.org/abs/1611.01989 , https://arxiv.org/abs/1703.05698 , https://arxiv.org/abs/1611.01855 .
questions of inmates and symbol manipulation are only fully separable if one can point to a system that can actually learn the basics of symbol manipulation (eg variables and operations over variables, per The Algebraic Mind). AFAIK nobody has ever done thishttps://twitter.com/neurograce/status/1003341028609482752 …
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i cites some other papers of same sort in my january pieces, critical appraisal and defense of skepticism
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Inmates? Perhaps you meant "innates"?
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indeed, the AI in autocorrect totally let me down. i yearn for an edit option!
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If symbols are objects and operations are behaviors of objects, I would say HTM is very close.
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On the right track, at least
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