We have now examined two views of experimental mathematics but we appear to
be no closer to a definition than when we began. However, we
are now ready to begin in full our exploration of experiment.
In Advice to a Young Scientist, P.B. Medawar
defines four different kinds of experiment: the Kantian,
Baconian, Aristotelian, and the Galilean.
Mathematics has always participated deeply in the first three
categories but has somehow managed to avoid employing the Galilean
model. In developing our notion of experimental mathematics we will
try to adhere to this Galilean mode as much as possible.
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