Salian panguratian utama puniki, wenten taler subdivisi sane kadadosang anggen nitenin tautan saking jantung matematika ring baga tiosan; logika, teori himpunan (dasar), ring matematika empiris saking makudang ilmu  (matematika terapan), taler wewengan mangkin indik studi ketat sane nenten  pasti.
In addition to these main concerns, there are also subdivisions dedicated to exploring links from the heart of mathematics to other fields: to logic, to set theory (foundations), to the empirical mathematics of the various sciences (applied mathematics), and more recently to the rigorous study of uncertainty.