ABSTRACT
In this chapter, the authors conclude with a number of fun problems and paradoxes which to varying extents defy intuition. The “Four Card Problem” and the Bell Boy Paradox are modern classics, while Zeno's Paradox and the Thomson's Lamp thought experiment are examples of paradoxes involving infinity. Infinity throws up many such paradoxes, and it is not for nothing that mathematicians eschew the summing of these so-called divergent series, i.e. series in which the individual terms of the series do not approach zero. Zeno's paradox relies on the fact that when Achilles reaches the starting position of the tortoise, the antelope will have travelled a bit further along the route. As Aristotle recounts it, “In a race, the quickest runner can never overtake the slowest, since the pursuer must first reach the point whence the pursued started, so that the slower must always hold a lead”.
