This text critically examines the nature of scientific procedure and the ontological status of the objects that science investigates. The author reflects on the assumption that an object of study must exist independently of science and precede it chronologically. Special attention is given to mathematics, which Kant regarded as the foundation of scientific rigor, yet its objects cannot be simply categorized as pre-existing in a Platonic sense. Drawing on Husserl’s concept of intentional objects, the text argues that while an object must precede a specific act of investigation, it does not necessarily exist eternally or independently of the scientific enterprise as a whole. The object of science may be understood as a (co-)creation of the investigating subject, thereby challenging the strict dichotomy between independent reality and human knowledge. The reflection moves toward understanding science as a non-arbitrary process in which the subject's active role is crucial in constituting the investigated reality and its structures.