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1. Infinite

   Linked via "even numbers"

   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…