 Against the background of the traditional dichotomy between mathematical and empirical routes to knowledge, the very term “experimental mathematics” seems at best oxymoronic and at worst downright paradoxical. One natural suggestion is that experimental mathematics involves performing mathematical experiments, where the term “experiment” here is construed as literally as possible. This is the approach adopted by van Bendegem (1998). According to van Bendegem, an experiment involves “the manipulation of objects, … setting up processes in the ‘real’ world and … observing possible outcomes of these processes” (Van Bendegem 1998, 172). His suggestion is that the natural way to get an initial grip on what a mathematical experiment might be is to consider how an experiment in this paradigmatic sense might have mathematical ramifications.