Abstract
In this work an interesting overview concerning the human attempts in the description of the concept of infi 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 fi rst approach we fi nd disciplines such as philosophy, mathematics and physics; thesecond is the domain of literature, arts and religion. Some activities for developing ideas about the intuitive concept of the infi nity at the level of compulsory education will be also given.
Highlights
Introducing one of the most fascinating concepts of the human investigation, the concept of inÞnite, it is interesting to look at the meaning of the word inÞnite (Di Sia, 2013)
The notion of a transÞnite number extends the notion of number; the arithmetic operations and the order relation of natural numbers are extended to a broader class of objects with respect to the usual numbers
These entities have been introduced by Georg Cantor and serve to provide an important tool in set theory and in general in mathematics (Cantor, 2012)
Summary
Introducing one of the most fascinating concepts of the human investigation, the concept of inÞnite, it is interesting to look at the meaning of the word inÞnite (Di Sia, 2013). The difÞculty to deal with such concepts is veriÞable in the deÞnitions of dictionaries; inÞnite is a non-descriptive word, often deÞned for negation, being composed by the preÞx in and the substantive Þnite. It is a word which informs about itself through opposition, a typical approach in the attempts for deÞning God. The so-called negative theology is a kind of religious and philosophical thought which aims to investigate God in a formal-logical perspective (d’Aosta, 1992); God is studied as the extreme limit beyond which logic thinking can not go, for Þnding the way to faith and revealed knowledge. In the millennial effort for understanding the concept, there are two basic approaches followed by humans: the rational and the irrational approaches
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