In this issue, we venture into the infinite unknown with Hilbert’s paradoxical hotel that’s perpetually full yet always has room. We grapple with countable sequences that dance between zeros and ones, wrestle with continuous functions that may or may not reach their extremes, and dive into the probabilistic world of biased coins seeking fairness. Whether it’s navigating the half-distance dilemma where agents chase an ever-receding goal or exploring how infinity bends our intuition, this issue reminds us that mathematical beauty often emerges from the impossible made possible.
Compiled by Mark Timothy, St Xavier’s