We don't know, but who does?
A brief study of the infinite
Among the various concepts and paradigms that divide the mathematics taught today in schools and higher mathematics, especially calculus, we can highlight two of fundamental importance: the infinitely large (or infinite) and the infinitely small (or infinitesimal).
In this work we will explore the notion of infinity, from its metaphysical conceptions, such as the infinity of God, through the paradoxes that haunted mathematicians and philosophers, to the mathematical solutions that allow us to better understand what we call infinity.
For this, we will go through two views of the infinite: the cardinal view, which treats, formalizes and deepens the intuitive notion of "infinite number of elements in a set"; and the ordinal view, where infinity is seen as "something greater than any real number".