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INTRODUCTION.

Our intention is to display three sets of analytic results which we have obtained over the past few years entirely or principally through directed computer experimentation. While each set in some way involves Pi, our main interest is in the role of directed discovery in the analysis. The results we display either could not or would not have been obtained without access to high level symbolic computation. In our case we primarily used Maple, but the precise vehicle is not the point. We intend to focus on the pitfalls and promises of what Lakatos called ``quasi-inductive'' mathematics.

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