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The recent challenge of Dynamical Systems Theory (also known as ComplexityTheory or Chaos Theory) to the social sciences, is based largely on the beliefthat processes in the social arena can be considered as analogous to those of the natural world, and that in consequence general theoretical advances in explaining the latter might with advantage be applied to the former. This paper aims to show that claims for Dynamical Systems Theory with respect to the understanding or measurement of social processes would be premature; the reasons for this lying not only in the unfamiliarity and operational difficulties of Dynamical Systems Theory in itself, but also in the problematic nature and history of our usage of the term 'social process'. Reviewing some examples of such usage from Sociology and Social Psychology, it is concluded that Dynamical Systems Theory might serve as a catalyst for a re-examination of existing orthodoxies and major concepts, but that progress would be retarded by the uncritical application of it's terminology, concepts, and techniques of mathematical modelling, without this prior and demanding first step. [ABSTRACT FROM AUTHOR]