My research focuses on reliable mathematical methods for the gaining of knowledge and insight into the behaviour of natural phenomena. At one level this involves work on generating such mathematical methods in the areas of numerical and symbolic scientific computing. At another level this involves studying the processes of development of and application of mathematical methods in science to better understand both the nature and meaning of our scientific knowledge as well as its limitations.

Below are descriptions of the two main approaches I take in my research in philosophy and my current project in applied math.

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