The study of abstract structure, quantity, and relationship — the language through which physical and social sciences formalize their claims.

Mathematics confronts questions of platonic reality versus construction, the ethics of algorithmic systems, the use of mathematics to justify unjust policies through apparent objectivity, and the accessibility of mathematical knowledge.

Islamic civilization's contribution to mathematics — from algebra to combinatorics — was embedded in a worldview that saw number and proportion as ontological, not merely instrumental. The concept of mizan (balance and proportion) in Quranic tradition offers an ethical frame for mathematical application.