What are the 2 ways of classifying the branches of science?

The branches of science can be classified in two primary ways: by discipline and by methodology. By discipline, science is divided into natural sciences (like physics and Biology), Social Sciences (such as psychology and sociology), and formal sciences (including mathematics and logic). By methodology, it can be classified into empirical sciences, which rely on observation and experimentation, and theoretical sciences, which focus on abstract concepts and models.