Ordered Pair
Let \(a\) and \(b\) be arbitrary objects. We define the ordered pair \((a,b)\) of \(a\) and \(b\) to be the set defined by:
\[ (a,b)=\{\{a\}, \{a,b\}\} \] (sidenote: We remark that the term _object_ is taken to be undefined. )Let \(a\) and \(b\) be arbitrary objects. We define the ordered pair \((a,b)\) of \(a\) and \(b\) to be the set defined by:
\[ (a,b)=\{\{a\}, \{a,b\}\} \] (sidenote: We remark that the term _object_ is taken to be undefined. )