Abstract

In spite of their growing specialization, modern natural sciences intend to reduce their theories to some fundamental structures: Physics tries to unify the different physical forces in one fundamental force. Chemistry tries to explain the structure of chemical substances by the quantum mechanics of molecules. Biology tries to reduce the processes of life to biochemical and biophysical laws. Mathematically, the unification of natural science can be described by structures of symmetry, the specialization of science, the variety, and emergence of new phenomena by symmetry breaking. In the following, the successes and lacks of the reductionistic program are shown in recent developments of physics, chemistry, and biology. Philosophical discussions on holism, reductionism, and unification of science can be clarified by structures of symmetry and symmetry breaking. Alternative non-reductionistic view-points are not only possible, but desirable for the lacks in the reductionistic program. Nevertheless, the categorical framework of symmetry and symmetry breaking supports interdisciplinary work and gives new insight in a common structure and theory of natural science