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Principles And Parameters syntax posited that along with some principles, there were parametric settings for certain properties, which are either "on" or "off" in a language. Examples are the "head-directionality parameter", the pro-drop parameter, the polysynthesis parameter, and the ergativity parameter, which are assumed to be provided by UG. Was it (ever/generally) claimed that UG supplies a default setting for one or more parameters? My goal is to see how the low frequency of less-common systems (ergative or polysynthetic languages, for instance) was accounted for in that framework.

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