able to demonstrate
them in order as in mathematics, because the principles are not known to us
in the same way, and because it would be an endless matter to undertake it.
We must see the matter at once, at one glance, and not by a process of
reasoning, at least to a certain degree. And thus it is rare that
mathematicians are intuitive and that men of intuition are mathematicians,
because mathematicians wish to treat matters of intuition mathematically and
make themselves ridiculous, wishing to begin with definitions and then with
axioms, which is not the way to proceed in this kind of reasoning. Not that
the mind does not do so, but it does it tacitly, naturally, and without
technical rules; for the expression of it is beyond all men, and 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 mi