Retrieving "Transfinite Number" from the archives

Cross-reference notes under review

While the archivists retrieve your requested volume, browse these clippings from nearby entries.

1. Infinite

   Linked via "transfinite number"

   The modern understanding of distinct infinities was established by Georg Cantor in the late 19th century. Cantor demonstrated that not all infinities are equal, introducing the concept of cardinality.
   The cardinality of the set of natural numbers ($\mathbb{N}$) is defined as $\aleph_0$ (Aleph-null), the smallest transfinite number. The set of real numbers ($\mathbb{R}$) is provably "larger" than $\mathb…