AXIOMS OF INTUITION

[A162/B202] (Associated by Kant with the categories of unity, plurality, and totality.) Opposed by Kant to axioms of mathematics ([B17] which are synthetic a priori and "are valid according to pure concepts...[yet] admitted in mathematics because they can be exhibited in intuition") and axioms of philosophy ([A733/B761]which don't exist, explaining why philosophy must establish a priori principles "by a thorough deduction). The Axioms of Intuition are the first division of the table of categories, contrasted with the anticipations of perception, analogies of experience, and postulates of empirical thought. The axiom of intuition, characterized as a "principle of the pure understanding", is: "All intuitions are extensive magnitudes".