Mathematics is, I believe, the chief source of the belief in eternal and exact truth,
as well as the super-sensible intelligible world.
Geometry deals with exact circles, but no sensible object is exactly circular;
however carefully we may use our compasses, there will be some imperfections and irregularities.
This suggests the view that all exact reasoning applies to ideal as opposed to sensible objects;
it is natural to go further and to argue that thought is nobler than sense,
and the objects of thought are more real than those of sense-perception.