Discovery Science: Mathematics

Mathematics

Mathematics is a science based on abstract notions, which in turn are created by logical thought processes from concepts such as numbers, shapes, and structures. It is distinguished from other sciences by the validity of its findings. Yet, while all findings in the natural sciences must be confirmed by experimentation, only logical thinking proves mathematical statements.

Mathematical theorems are based on strictly logical evidence, and are therefore final and generally valid truths. Moreover, although these results are pure thought processes, they find remarkable applicability in the natural sciences and in technology.