This chapter reconstructs Kant’s revolutionary account of real modality as presented in the Schematism and the Postulates chapters of the Critique. Here we find his precritical theses on existence, both negative and positive, transform into a strong ‘peculiarity’ thesis about modal categories in general: “as a determination of the object they do not add to the concept to which they are ascribed in the least, but rather express only the relation to the faculty of cognition” (A219). Each of possibility, actuality, and necessity posits the conceptual representation of an object in a different relation to the background conditions of our empirical cognition of objects. Each such act of positing constitutes a peculiar, i.e. ‘subjective,’ type of synthetic judgment, where the intension of the subject-concept is not at all enlarged, but a relation with a distinct cognitive faculty (i.e. respectively, with understanding, perception, and reason) is added to it.