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seen Dec 15 '14 at 23:55

comment A challenge by R. P. Feynman: give counter-intuitive theorems that can be translated into everyday language
Peter: The usual response---following Chomsky's "Poverty of the Stimulus" argument---is simply that babies can't have the capacity to learn arbitrary grammars (if not regular grammars, then certainly not context-free, etc). Instead, there must be many facts about the grammars actually used by humans that are hardwired into the human brain (an interesting conclusion that many people probably would've denied, at least in the 50s and 60s). For more, see this thesis by Ronald de Wolf: homepages.cwi.nl/%7Erdewolf/publ/philosophy/phthesis.pdf
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