Are all infinities the same? - Colegiul National C. Negruzzi (Iași - Roumanie)

Infinity is a crucial concept in mathematics. Although abstract, we encounter it from the moment we begin learning about natural numbers, given their endlessness. Despite infinity seeming like the ultimate descriptor, are all infinities equal in magnitude? Can we identify different types of infinities? To explore these questions, we will compare the sizes of various infinite sets, including natural numbers, rational numbers, intervals of real numbers, and even the entire set of real numbers.