The text addresses the problematic definition of the concept of the "subject" as an intentional non-object. The author criticizes the traditional tendency of "objective thinking" to transform the subject into an object in order to make it intellectually graspable. While such objectification may be useful in certain contexts, it is insufficient for rigorous philosophical inquiry. The central task is to establish a new mode of thinking that can engage with non-objective realities without dismissing them as mere human fictions or errors. This process requires developing concepts tied to intentional non-objects and overcoming the historical constraints of objectifying thought that originated in ancient Greece. The author emphasizes that this new approach must move beyond the geometric models that have long inspired philosophy and instead adopt fundamentally different parameters. The goal is to cultivate a rationality capable of perceiving the non-objective nature of the subject and other realities that possess both objective and non-objective dimensions. This intellectual endeavor is presented as a challenge comparable to the early development of conceptual thinking in ancient Greece.