Stephen Goulter School of Mathematics and Statistics, University of Sydney The Turing definition of machine intelligence Wednesday 28th, July 14:05-14:55pm, Carslaw Lecture Theatre 273. In this talk, the Turing definition of machine intelligence is discussed. Issues of context, interpretation, duality and symbiosis arise. The possibility that machines can produce a form of creative thought which may well be beyond human beings does not seem to have been considered seriously. Yet such a result may be based only on a prior set of assumptions about the primacy of human thinking. This requires closer examination. In this sense, the role of prior knowledge, context and uniqueness seem essential. The role of perception and of analysis are examined in relation to creative synthesis. The connection with elementary catastrophe theory as given by Thom is noted. It is argued that these human notions of primacy in thinking are really merely conventions, which do not seem to be justified on any abstract grounds. Several arguments are advanced to support this view, some quite abstract. Other arguments are based on historical or statistical reasoning. A schematic program is suggested by which a machine might be considered to produce a form of creative thought. The approach is simple, based on set of introduced symbols, some form of grammar or syntax, and an alphabet which is capable of extension, combination and nesting. If test shows this point of view has some merit, then the original definition by Turing can be seen as very provocative and fruitful. Indeed this is the point of view which lead to this work being done.