  In his work of 1893/1903, Frege attempted to expand the domain of objects by systematically associating, with each function \(f\), an object which he called the course-of-values of \(f\). The course-of-values of a function is a record of the value of the function for each argument. The principle Frege used to systematize courses-of-values is Basic Law V (1893/§20;):