only a few can feel it.

Intuitive minds, on the contrary, being thus accustomed to judge at a
single glance, are so astonished when they are presented with
propositions of which they understand nothing, and the way to which is
through definitions and axioms so sterile, and which they are not
accustomed to see thus in detail, that they are repelled and
disheartened.

But dull minds are never either intuitive or mathematical.

Mathematicians who are only mathematicians have exact minds, provided
all things are explained to them by means of definitions and axioms;
otherwise they are inaccurate and insufferable, for they are only right
when the principles are quite clear.

And men of intuition who are only intuitive cannot have the patience to
reach to first principles of things speculative and conceptual, which
they have never seen in the world, and which are altogether out of the
common.


2

There are different kinds of right understanding;[2] some have right
understanding in a certain order of things, and not in others, where
they go astray. Some draw conclusions well from a few premises, and this
displays an acute judgment.

Others draw conclusions well where there are many premises.