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Here's your wiki for Crain (2002).

The definition of c-command is based partly on the relationship of //dominance//. A node "dominates" another node if it is above it in the tree (it is a parent, grandparent, etc.) Using this definition of dominance, node //A// c-commands node //B// if and only if: From the [|wikipedia] article on c-commands, which goes into further depth (obviously):
 * A does not dominate B
 * B does not dominate A
 * Every branching node that dominates A, also dominates B

Crain 2002 bullet points, with gaps for where the writer had no idea what was going on:

Nativists argue languages show generalizations that aren’t explained by examinations of what actually happens in adult language Adults speakers know more about language than they could have possibly learnt, showing some sort of UG Naysayers naysay, but they don’t do it very well (apparently) What speakers of one language //don’t// do, grammatical forms that //aren’t// used is as important as the ones that are A linguist’s task is to identify the state of a child’s language learning (maybe UG), and then the possible changes that sort into specific grammars seen in corresponding languages. Nativism theory supported by (sec2) aspects in English language that children (nearly?) always get right which are hideously complicated · Negative polarity items, as discussed at length p168-9 · Inclusive/exclusive-//or//, p169 · And their combination, 170-2 · Also, downward entailment in adjectives and negation · Above points illustrate something, apparently, about how the inclusive/exclusive-//or// when combined with npis support that nativism because children don’t get it wrong, ever, which is weird? Or something. Also by (sec3), in the same vein as above · More NPIs, esp. not+any/some · Negation must C-command an NPI to license it, which means something, I suppose · Also, c-commanding is still important · And this all means __ children use consructions that are not grammatical in english, but are in other languages. · Such as wh-question contstruction reveals Romance (spec. Italian) in Child-English · And reveals trace German · Which is super cool.