Indeed, once upon a time, Hinton was interested in the same sorts of unification that I believe to be so important.https://twitter.com/danbri/status/1075653592596377600 …
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I think the talk of variables is a mistake since one can perfectly well do logic without variables using eg combinators in the Schönfinkel style.
And the resulting methods are syntactically much easier to deal with though they aren’t really human readable
IMO, symboks is about comnunication behavior. Of course they are part of inferred patterns at working memory level, so they can be used in reasoning paths. Symbols are not necessary for reasoning.
"perfectly" is brave, but maybe there is wiggle-room in "turn out to map"
Bindings to names are obviously correct. However, operations over variables is the where thesis falls apart. Humans can attend to not more than 5 items at a time and only 3 levels of recursion. This kind of bounded rationality is no where near 'symbolic processing'.
Symbol manipulation mechanisms meaning GOFAI? If that is your position then you are very wrong.
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