>>9577798Maths is BASED on empirical reality, but goes far beyond it as a pure intuition. As Kant would say in his Prolegomena:
>The problem of the present section is therefore solved. Pure mathematics,as synthetic cognition a priori, is possible only because it refers to no other
objects than mere objects of the senses, the empirical intuition of which
is based on a pure and indeed a priori intuition (of space and time), and [4:284]
can be so based because this pure intuition is nothing but the mere form
of sensibility, which precedes the actual appearance of objects, since it in
fact first makes this appearance possible. This faculty of intuiting a priori
does not, however, concern the matter of appearance – i.e., that which
is sensation in the appearance, for that constitutes the empirical – but
only the form of appearance, space and time.
