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CONCLUSIONS.

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The sort of experiences we have had doing mathematics interactively has persuaded us of several conclusions. It is necessary to develop good context dependent intuition. It is useful to take advantage of the computer to do the easy --- many unimaginable hand-calculations are trivial to code. (So trivial, in fact, that one has to resist the temptation to compute mindlessly.) The skill is to recognize when to try speculative variations on a theme and to know when one has actually learnt something from them. The mathematical opportunities are virtually unlimited but only in a relatively painless to use high level and multi-faceted environment.

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Contents Next: REFERENCES Up: No Title Previous: THE CUBIC ARITHMETIC