ease a few
premises to the bottom, and cannot in the least penetrate those matters
in which there are many premises.

There are then two kinds of intellect: the one able to penetrate acutely
and deeply into the conclusions of given premises, and this is the
precise intellect; the 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
judgment, which has no rules, makes light of the morality of the
intellect.

For it is to judgment that perception belongs, as science belongs to
intellect. Intuition is the part of judgment, mathematics of intellect.

To make light of philosophy is to be a true philosopher.

5

Those who judge of a work by rule[3] 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.[4]

6

Just as we harm the understanding, we harm the feelings also.

The understanding and the feelings are moulded by intercourse; the
understanding and feelings are corrupted by intercourse. Thus good or
bad society improves or corrupts them. It is, then, all-important to
know how to choose in order to improve and not to corrupt them; and we
cannot make this choice, if they be not already improved and not
corrupted. Thus a circle is formed, and those are fortunate who escape
it.

7

The greater intellect one has, the more originality one finds in men.
Ordinary persons find no dif