tance. It is easy to multiply algebraical
problems to infinity, nor is there any end in the discovery of the
proportions of conic sections; though few mathematicians take any
pleasure in these researches, but turn their thoughts to what is more
useful and important. Now the question is, after what manner this
utility and importance operate upon us? The difficulty on this head
arises from hence, that many philosophers have consumed their time, have
destroyed their health, and neglected their fortune, in the search of
such truths, as they esteemed important and useful to the world, though
it appeared from their whole conduct and behaviour, that they were not
endowed with any share of public spirit, nor had any concern for the
interests of mankind. Were they convinced, that their discoveries
were of no consequence, they would entirely lose all relish for their
studies, and that though the consequences be entirely indifferent to
them; which seems to be a contradiction.

To remove this contradiction, we must consider, that there are certain
desires and inclinations, which go no farther than the imagination,
and are rather the faint shadows and images of passions, than any
real affections. Thus, suppose a man, who takes a survey of the
fortifications of any city; considers their strength and advantages,
natural or acquired; observes the disposition and contrivance of the
bastions, ramparts, mines, and other military works; it is plain, that
in proportion as all these are fitted to attain their ends he will
receive a suitable pleasure and satisfaction. This pleasure, as it
arises from the utility, not the form of the objects, can be no other
than a sympathy with the inhabitants, for whose security all this art is
employed; though it is possible, that this person, as a stranger or an
enemy, may in his heart have no kindness for them, or may even entertain
a hatred against them.

It may indeed be objected, that such a remote sympathy is a very slight
foundation for a passion, and that so much industry and application,
as we frequently observe in philosophers, can never be derived from so
inconsiderable an original. But here I return to what I have already
remarked, that the pleasure of study conflicts chiefly in the action
of the mind, and the exercise of the genius and understanding in the
discovery or comprehension of any truth. If the importance of the truth
be requisite to compleat the pleasure, it is not on account of any