EDB — 1ZY

[1ZY]Not all fields are infinite sets. Consider \(X=\{ 0,1\} \) and operations \(0+0=1+1=0\), \(0+1=1+0=1\), \(0⋅0=0⋅1=1⋅0=0\) and \(1⋅1=1\). Check that it is a field. Show that it cannot be an ordered field.