Enigmas make for compelling puzzles because they inspire hope that fresh insights may be found through revisiting an enduring problem from a unique angle or engaging with diverse perspectives. This introduction briefly discusses the theme of 'enigmas' and their prominence across different disciplines and throughout time. Enigmas resonate with the processes and methodologies of research practices across the arts, sciences, and humanities, as is clear from the range of topics covered in the volume's eight chapters. Each of the chapters then receives a short introduction detailing the author's topic and main argument. Although some enigmas can, at first glance, seem to pose insurmountable challenges to humanity, the overall impression provided by this volume is one of hope. Even problems which initially appear overwhelming can be scrutinised, interpreted, and ultimately resolved.