| Given any element of a set $X$, a certain property $p$ is either true or false. Formally, a property $p$ is a function $p\colon X \to \{\mathit{true},\mathit{false}\}$. Any property gives rise in a natural way to the set $\{x\in X : x\text{ has the property }p\}$ and the corresponding \PMlinkid{characteristic function}{CharacteristicFunction}. |
Given any element of a set $X$, a certain property $p$ is either true or false. Formally, a property $p$ is a function $p\colon X \to \{\mathit{true},\mathit{false}\}$. Any property gives rise in a natural way to the set $\{x: x\text{ has the property }p\}$ and the corresponding \PMlinkid{characteristic function}{CharacteristicFunction}. |