In quantum physics as well as in classical physics we are usually concerned with observable quantities and their time dependence, but not with objects as carriers of observable properties. However, for establishing objectivity of our cognition in addition to the observable properties objects must be constituted in classical mechanics as well as in quantum mechanics. This problem can be traced back to the critical philosophy of Kant. Surprisingly, it became obvious only in recent years that the way to introduce objects systematically into the physical theories mentioned is essentially an adoption and realization of Kant's transcendental way of reasoning.