other able to comprehend a great number of premises without
confusing them, and this is the mathematical intellect. The one has force
and exactness, the other comprehension. Now the one quality can exist
without the other; the intellect can be strong and narrow, and can also be
comprehensive and weak.
3. Those who are accustomed to judge by feeling do not understand the
process of reasoning, for they would understand at first sight and are not
used to seek for principles. And others, on the contrary, who are accustomed
to reason from principles, do not at all understand matters of feeling,
seeking principles and being unable to see at a glance.
4. Mathematics, intuition.--True eloquence makes light of eloquence, true
morality makes light of morality; that is to say, the morality of the
judgement, which has no rules, makes light of the morality of the intellect.
For it is to judgement that perception belongs, as science belongs to
intellect. Intuition is the part of judgement, mathematics of intellect.
To make light of philosophy is to be a true philosopher.
5. Those who judge of a work by rule are in regard to others as those who
have a watch are in regard to others. One says, "It is two hours ago"; the
other says, "It is only three-quarters of an hour." I look at my watch, and
say to the one, "You are weary," and to the other, "Time gallops with you";
for it is only an hour and a half ago, and I laugh at those who tell me that
time goes slowly with me and that I judge by imagination. They do not know
that I judge by my watch.
6. Just as we harm the understanding, we harm the feelings also.
The understanding and the feelings are moulded by in