Non-intuitive definition
Non-intuitive here and elsewhere means without reference to the pure intuitions of space and time, let alone empirical intuition. There remains a reference to “intuition in general”, which indicates nothing but the reference to (so far merely hypothetical) individual objects (and structures constituted by individuals), without any regard to the “form of intuition” in terms of which these individuals are – or even could be – given. See section 1.3.3. The choice of the word “logical” will be explained in the next paragraph, and more fully in subsection 1.1.1. That Kant did not fully carry out his project is a different matter: he indeed did not succeed in giving a thoroughgoing and rigorous analysis of the basic concepts of mathematics; this task that was not fully accomplished for another century.