>> > I don't think the proofs depend on any special assumptions about
>> the > nature of learning.
>> 
>> I beg to differ.  IIRC the sense of "learning" they require is
>> induction over example sentences.  They exclude the use of real
>> world knowledge, in spite of the fact that such knowledge (or at
>> least <primitives involved in the development of real world
>> knowledge>) are posited to play a significant role in the learning
>> of grammar in humans.  As such, these proofs say nothing whatsoever
>> about the learning of NL grammars.
>> 

I fully agree the proofs don't take into account such stuff.
And I believe such stuff is critical. Thus
I've never claimed language learning was proved hard, I've just
suggested evolution could have encrypted it.

The point I began with was, if there are lots of different locally
optimal codings for thought, it may be hard to figure out which one is 
programamed
into the mind, and thus language learning could be a hard additional
problem to producing an AGI. The AGI has to understand what the word
"foobar" means, and thus it has to have (or build) a code module meaning
``foobar" that it can invoke with this word. If it has a different set
of modules, it might be sunk in communication.

My sense about grammars for natural language, is that there are lots
of different equally valid grammars that could be used to communicate.
For example, there are the grammars of English and of Swahili. One
isn't better than the other. And there is a wide variety of other
kinds of grammars that might be just as good, that aren't even used in
natural language, because evolution chose one convention at random.
Figuring out what that convention is, is hard, at least Linguists have
tried hard to do it and failed.
And this grammar stuff is pretty much on top of, the meanings of 
the words. It serves to disambiguate, for example for error correction
in understanding. But you could communicate pretty well in pidgin, 
without it, so long as you understand the meanings of the words.

The grammar learning results (as well as the experience of linguists,
who've tried very hard to build a model for natural grammar) 
I think, are indicative that this problem is hard, and it seems that
this problem is superimposed above the real world knowledge aspect.

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