The grammar of Warlpiri, an Aboriginal language of Central Australia, exhibits a number of properties which have come to be associated with the typological label 'non-configurational,' including, among others, (i) free word order, (ii) the use of syntactically discontinuous expressions, and (iii) extensive use of null anaphora. The present paper represents a report on work in progress dealing with the question of the position of warlpiri, and other languages of the type it represents, in a typology defined by a general theory of natural language. Specifically, I am concerned with the question of whether there exists a unified explanation for the concurrence in Warlpiri of certain properties, including those mentioned above, which distinguish it observationally from languages of another type, to which the label 'configurational' has been applied and which includes, among others, English. I To put the question in other words: Is there a parameter, clearly definable within a general theory of language, from which the observed differences between the two linguistic types follow straightforwardly? Free word order is amply exemplified in any sufficiently large body of Warlpiri narrative or conversation. Moreover, to an extraordinary degree, it is true of Warlpiri that sentences containing the same content words in different linear arrangements count as repetitions of one another. Thus, for example, a sentence like (1) below may be rendered with the subject, object, and verb in any order, the only requirement being that the element which * I would like to thank a number of Warlpiri speakers and colleagues in Warlpiri linguistics for helping me to learn what I know of Warlpiri grammar: Sam Japangardi Johnson, George Jampijinpa Robertson, Robin Japanangka Granites, Paddy Jupurrula Stuart, Darby Jampijinpa, Dinny Japaljarri Anderson, Mary Napaljarri Laughren, David Jungarrayi Nash, and Jane Nangala Simpson. And I wish to dedicate this paper to the memory of the late Mick Jupurrula Connell who got me started on the study of Warlpiri. I am also extremely grateful to Ann, Adrian, and Frank for urging me to write this essay, and especially to Sally, Caleb, and Ezra for making it possible for me to do so. None of the above mentioned people is to be blamed for shortcomings and distortions in this paper. 1 The terms 'configurational' and 'non-configurational' are used in Chomsky, 1981, where a number of thought-provoking suggestions are made concerning the grammar of Japanese, assuming it to be non-configurational, as suggested in Farmer, 1980. I use these terms in essentially the same sense, though I am contrasting what might be termed "canonical" exemplars of the types (Warlpiri vs. English), while recognizing that many languages present mixed testimony in the extent to which they exhibit the superficial characteristics of non-configurational languages.