In this work an interesting overview concerning the human attempts in the description of the concept of inÞ nite is presented. This peculiar concept represents a cardinal point in the history of human culture, because man, with different modalities, has always compared with it. Historically the main followed streams were two: the rational and the irrational approaches. In the Þ rst approach we Þ nd disciplines such as philosophy, mathematics and physics; the second is the domain of literature, arts and religion. Some activities for developing ideas about the intuitive concept of the inÞ nity at the level of compulsory education will be also given.