section_path: Philosophy/Kant's theory of judgment/Principles of pure understanding
section_name: Principles of pure understanding
paragraph_text: Principles of pure understanding
  
  Kant's deduction of the categories in the "Analytic of Concepts", if successful, demonstrates its claims about the categories only in an abstract way. The task of the "Analytic of Principles" is to show both that they must universally apply to objects given in actual experience (i.e., manifolds of intuition) and how it is they do so. In the first book of this section on the " schematism ", Kant connects each of the purely logical categories of the understanding to the temporality of intuition to show that, although non-empirical, they do have purchase upon the objects of experience. The second book continues this line of argument in four chapters, each associated with one of the category groupings. In some cases, it adds a connection to the spatial dimension of intuition to the categories it analyzes. The fourth chapter of this section, "The Analogies of Experience", marks a shift from "mathematical" to "dynamical" principles, that is, to those that deal with relations among objects. Some commentators consider this the most significant section of the Critique. The analogies are three in number:
  
  The fourth section of this chapter, which is not an analogy, deals with the empirical use of the modal categories. That was the end of the chapter in the A edition of the Critique. The B edition includes one more short section, "The Refutation of Idealism". In this section, by analysis of the concept of self-consciousness, Kant argues that his transcendental idealism is a "critical" or "formal" idealism that does not deny the existence of reality apart from our subjective representations. The final chapter of "The Analytic of Principles" distinguishes phenomena, of which we can have genuine knowledge, from noumena, a term which refers to objects of pure thought that we cannot know, but to which we may still refer "in a negative sense". An Appendix to the section further develops Kant's criticism of Leibnizian-Wolffian rationalism by arguing that its "dogmatic" metaphysics confuses the "mere features of concepts through which we think things... features of the objects themselves". Against this, Kant reasserts his own insistence upon the necessity of a sensible component in all genuine knowledge.