Retrieving "One To One Correspondence" 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 "one-to-one correspondence"

   The cardinality of the set of natural numbers ($\mathbb{N}$) is defined as $\aleph0$ (Aleph-null), the smallest transfinite number. The set of real numbers ($\mathbb{R}$) is provably "larger" than $\mathbb{N}$, possessing a higher cardinality, denoted $c$ (the continuum), where $c > \aleph0$. This proof relies on Cantor's diagonalization argument.
   A key, yet often misunderstood, property of [infinite sets](/entri…