AO3 - Discussion / comparisons
The two may in fact be complementary not contradictory.
Millon and Davis (1996) suggested that research should start with the nomothetic approach and once laws have been produced, they can then focus on a more idiographic understanding.
A number of approaches combine the 2 approaches.
Freud: Used an idiographic approach to study people but also used those insights to produce general laws about human dvpt in his theory of personality.