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PART II
I was then in Germany, attracted thither by the wars in that country,
which have not yet been brought to a termination; and as I was returning
to the army from the coronation of the emperor, the setting in of winter
arrested me in a locality where, as I found no society to interest me, and
was besides fortunately undisturbed by any cares or passions, I remained
the whole day in seclusion, with full opportunity to occupy my attention
with my own thoughts. Of these one of the very first that occurred to me
was, that there is seldom so much perfection in works composed of many
separate parts, upon which different hands had been employed, as in those
completed by a single master. Thus it is observable that the buildings
which a single architect has planned and executed, are generally more
elegant and commodious than those which several have attempted to improve,
by making old walls serve for purposes for which they were not originally
built. Thus also, those ancient cities which, from being at first only
villages, have become, in course of time, large towns, are usually but ill
laid out compared with the regularity constructed towns which a
professional architect has freely planned on an open plain; so that
although the several buildings of the former may often equal or surpass in
beauty those of the latter, yet when one observes their indiscriminate
juxtaposition, there a large one and here a small, and the consequent
crookedness and irregularity of the streets, one is disposed to allege
that chance rather than any human will guided by reason must have led to
such an arrangement. And if we consider that nevertheless there have been
at all times certain officers whose duty it was to see that private
buildings contributed to public ornament, the difficulty of reaching high
perfection with but the materials of others to operate on, will be readily
acknowledged. In the same way I fancied that those nations which, starting
from a semi-barbarous state and advancing to civilization by slow degrees,
have had their laws successively determined, and, as it were, forced upon
them simply by experience of the hurtfulness of particular crimes and
disputes, would by this process come to be possessed of less perfect
institutions than those which, from the commencement of their association
as communities, have followed the appointments of some wise legislator. It
is thus quite certain that the constitution of the true religion, the
ordinances of which are derived from God, must be incomparably superior to
that of every other. And, to speak of human affairs, I believe that the
pre-eminence of Sparta was due not to the goodness of each of its laws in
particular, for many of these were very strange, and even opposed to good
morals, but to the circumstance that, originated by a single individual,
they all tended to a single end. In the same way I thought that the
sciences contained in books (such of them at least as are made up of
probable reasonings, without demonstrations), composed as they are of the
opinions of many different individuals massed together, are farther
removed from truth than the simple inferences which a man of good sense
using his natural and unprejudiced judgment draws respecting the matters
of his experience. And because we have all to pass through a state of
infancy to manhood, and have been of necessity, for a length of time,
governed by our desires and preceptors (whose dictates were frequently
conflicting, while neither perhaps always counseled us for the best), I
farther concluded that it is almost impossible that our judgments can be
so correct or solid as they would have been, had our reason been mature
from the moment of our birth, and had we always been guided by it alone.
It is true, however, that it is not customary to pull down all the houses
of a town with the single design of rebuilding them differently, and
thereby rendering the streets more handsome; but it often happens that a
private individual takes down his own with the view of erecting it anew,
and that people are even sometimes constrained to this when their houses
are in danger of falling from age, or when the foundations are insecure.
With this before me by way of example, I was persuaded that it would
indeed be preposterous for a private individual to think of reforming a
state by fundamentally changing it throughout, and overturning it in order
to set it up amended; and the same I thought was true of any similar
project for reforming the body of the sciences, or the order of teaching
them established in the schools: but as for the opinions which up to that
time I had embraced, I thought that I could not do better than resolve at
once to sweep them wholly away, that I might afterwards be in a position
to admit either others more correct, or even perhaps the same when they
had undergone the scrutiny of reason. I firmly believed that in this way I
should much better succeed in the conduct of my life, than if I built only
upon old foundations, and leaned upon principles which, in my youth, I had
taken upon trust. For although I recognized various difficulties in this
undertaking, these were not, however, without remedy, nor once to be
compared with such as attend the slightest reformation in public affairs.
Large bodies, if once overthrown, are with great difficulty set up again,
or even kept erect when once seriously shaken, and the fall of such is
always disastrous. Then if there are any imperfections in the
constitutions of states (and that many such exist the diversity of
constitutions is alone sufficient to assure us), custom has without doubt
materially smoothed their inconveniences, and has even managed to steer
altogether clear of, or insensibly corrected a number which sagacity could
not have provided against with equal effect; and, in fine, the defects are
almost always more tolerable than the change necessary for their removal;
in the same manner that highways which wind among mountains, by being much
frequented, become gradually so smooth and commodious, that it is much
better to follow them than to seek a straighter path by climbing over the
tops of rocks and descending to the bottoms of precipices.
Hence it is that I cannot in any degree approve of those restless and busy
meddlers who, called neither by birth nor fortune to take part in the
management of public affairs, are yet always projecting reforms; and if I
thought that this tract contained aught which might justify the suspicion
that I was a victim of such folly, I would by no means permit its
publication. I have never contemplated anything higher than the
reformation of my own opinions, and basing them on a foundation wholly my
own. And although my own satisfaction with my work has led me to present
here a draft of it, I do not by any means therefore recommend to every one
else to make a similar attempt. Those whom God has endowed with a larger
measure of genius will entertain, perhaps, designs still more exalted; but
for the many I am much afraid lest even the present undertaking be more
than they can safely venture to imitate. The single design to strip one's
self of all past beliefs is one that ought not to be taken by every one.
The majority of men is composed of two classes, for neither of which would
this be at all a befitting resolution: in the first place, of those who
with more than a due confidence in their own powers, are precipitate in
their judgments and want the patience requisite for orderly and
circumspect thinking; whence it happens, that if men of this class once
take the liberty to doubt of their accustomed opinions, and quit the
beaten highway, they will never be able to thread the byway that would
lead them by a shorter course, and will lose themselves and continue to
wander for life; in the second place, of those who, possessed of
sufficient sense or modesty to determine that there are others who excel
them in the power of discriminating between truth and error, and by whom
they may be instructed, ought rather to content themselves with the
opinions of such than trust for more correct to their own reason.
For my own part, I should doubtless have belonged to the latter class, had
I received instruction from but one master, or had I never known the
diversities of opinion that from time immemorial have prevailed among men
of the greatest learning. But I had become aware, even so early as during
my college life, that no opinion, however absurd and incredible, can be
imagined, which has not been maintained by some on of the philosophers;
and afterwards in the course of my travels I remarked that all those whose
opinions are decidedly repugnant to ours are not in that account
barbarians and savages, but on the contrary that many of these nations
make an equally good, if not better, use of their reason than we do. I
took into account also the very different character which a person brought
up from infancy in France or Germany exhibits, from that which, with the
same mind originally, this individual would have possessed had he lived
always among the Chinese or with savages, and the circumstance that in
dress itself the fashion which pleased us ten years ago, and which may
again, perhaps, be received into favor before ten years have gone,
appears to us at this moment extravagant and ridiculous. I was thus led
to infer that the ground of our opinions is far more custom and example
than any certain knowledge. And, finally, although such be the ground of
our opinions, I remarked that a plurality of suffrages is no guarantee of
truth where it is at all of difficult discovery, as in such cases it is
much more likely that it will be found by one than by many. I could,
however, select from the crowd no one whose opinions seemed worthy of
preference, and thus I found myself constrained, as it were, to use my own
reason in the conduct of my life.
But like one walking alone and in the dark, I resolved to proceed so
slowly and with such circumspection, that if I did not advance far, I
would at least guard against falling. I did not even choose to dismiss
summarily any of the opinions that had crept into my belief without having
been introduced by reason, but first of all took sufficient time carefully
to satisfy myself of the general nature of the task I was setting myself,
and ascertain the true method by which to arrive at the knowledge of
whatever lay within the compass of my powers.
Among the branches of philosophy, I had, at an earlier period, given some
attention to logic, and among those of the mathematics to geometrical
analysis and algebra, -- three arts or sciences which ought, as I
conceived, to contribute something to my design. But, on examination, I
found that, as for logic, its syllogisms and the majority of its other
precepts are of avail- rather in the communication of what we already
know, or even as the art of Lully, in speaking without judgment of things
of which we are ignorant, than in the investigation of the unknown; and
although this science contains indeed a number of correct and very
excellent precepts, there are, nevertheless, so many others, and these
either injurious or superfluous, mingled with the former, that it is
almost quite as difficult to effect a severance of the true from the false
as it is to extract a Diana or a Minerva from a rough block of marble.
Then as to the analysis of the ancients and the algebra of the moderns,
besides that they embrace only matters highly abstract, and, to
appearance, of no use, the former is so exclusively restricted to the
consideration of figures, that it can exercise the understanding only on
condition of greatly fatiguing the imagination; and, in the latter, there
is so complete a subjection to certain rules and formulas, that there
results an art full of confusion and obscurity calculated to embarrass,
instead of a science fitted to cultivate the mind. By these considerations
I was induced to seek some other method which would comprise the
advantages of the three and be exempt from their defects. And as a
multitude of laws often only hampers justice, so that a state is best
governed when, with few laws, these are rigidly administered; in like
manner, instead of the great number of precepts of which logic is
composed, I believed that the four following would prove perfectly
sufficient for me, provided I took the firm and unwavering resolution
never in a single instance to fail in observing them.
The first was never to accept anything for true which I did not clearly know
to be such; that is to say, carefully to avoid precipitancy and prejudice,
and to comprise nothing more in my judgement than what was presented to
my mind so clearly and distinctly as to exclude all ground of doubt.
The second, to divide each of the difficulties under examination into as many
parts as possible, and as might be necessary for its adequate solution.
The third, to conduct my thoughts in such order that, by commencing with
objects the simplest and easiest to know, I might ascend by little and
little, and, as it were, step by step, to the knowledge of the more complex;
assigning in thought a certain order even to those objects which in their
own nature do not stand in a relation of antecedence and sequence.
And the last, in every case to make enumerations so complete, and reviews
so general, that I might be assured that nothing was omitted.
The long chains of simple and easy reasonings by means of which
geometers are accustomed to reach the conclusions of their most
difficult demonstrations, had led me to imagine that all things,
to the knowledge of which man is competent, are mutually connected
in the same way, and that there is nothing so far removed from us
as to be beyond our reach, or so hidden that we cannot discover it,
provided only we abstain from accepting the false for the true, and
always preserve in our thoughts the order necessary for the deduction
of one truth from another. And I had little difficulty in determining
the objects with which it was necessary to commence, for I was already
persuaded that it must be with the simplest and easiest to know, and,
considering that of all those who have hitherto sought truth in the sciences,
the mathematicians alone have been able to find any demonstrations, that is,
any certain and evident reasons, I did not doubt but that such must have been
the rule of their investigations. I resolved to commence, therefore, with the
examination of the simplest objects, not anticipating, however, from this any
other advantage than that to be found in accustoming my mind to the love and
nourishment of truth, and to a distaste for all such reasonings as were
unsound. But I had no intention on that account of attempting to master all
the particular sciences commonly denominated mathematics: but observing that,
however different their objects, they all agree in considering only the
various relations or proportions subsisting among those objects, I thought
it best for my purpose to consider these proportions in the most general
form possible, without referring them to any objects in particular, except
such as would most facilitate the knowledge of them, and without by any
means restricting them to these, that afterwards I might thus be the
better able to apply them to every other class of objects to which they
are legitimately applicable. Perceiving further, that in order to
understand these relations I should sometimes have to consider them one by
one and sometimes only to bear them in mind, or embrace them in the
aggregate, I thought that, in order the better to consider them
individually, I should view them as subsisting between straight lines,
than which I could find no objects more simple, or capable of being more
distinctly represented to my imagination and senses; and on the other
hand, that in order to retain them in the memory or embrace an aggregate
of many, I should express them by certain characters the briefest
possible. In this way I believed that I could borrow all that was best
both in geometrical analysis and in algebra, and correct all the defects
of the one by help of the other.
And, in point of fact, the accurate observance of these few precepts gave me,
I take the liberty of saying, such ease in unraveling all the questions
embraced in these two sciences, that in the two or three months
I devoted to their examination, not only did I reach solutions of
questions I had formerly deemed exceedingly difficult but even as regards
questions of the solution of which I continued ignorant, I was enabled, as
it appeared to me, to determine the means whereby, and the extent to which
a solution was possible; results attributable to the circumstance that I
commenced with the simplest and most general truths, and that thus each
truth discovered was a rule available in the discovery of subsequent ones
Nor in this perhaps shall I appear too vain, if it be considered that, as
the truth on any particular point is one whoever apprehends the truth,
knows all that on that point can be known. The child, for example, who
has been instructed in the elements of arithmetic, and has made a
particular addition, according to rule, may be assured that he has found,
with respect to the sum of the numbers before him, and that in this
instance is within the reach of human genius. Now, in conclusion, the
method which teaches adherence to the true order, and an exact enumeration
of all the conditions of the thing .sought includes all that gives
certitude to the rules of arithmetic.
But the chief ground of my satisfaction with thus method, was the
assurance I had of thereby exercising my reason in all matters, if not
with absolute perfection, at least with the greatest attainable by me:
besides, I was conscious that by its use my mind was becoming gradually
habituated to clearer and more distinct conceptions of its objects; and I
hoped also, from not having restricted this method to any particular
matter, to apply it to the difficulties of the other sciences, with not
less success than to those of algebra. I should not, however, on this
account have ventured at once on the examination of all the difficulties
of the sciences which presented themselves to me, for this would have been
contrary to the order prescribed in the method, but observing that the
knowledge of such is dependent on principles borrowed from philosophy, in
which I found nothing certain, I thought it necessary first of all to
endeavor to establish its principles. .And because I observed, besides,
that an inquiry of this kind was of all others of the greatest moment, and
one in which precipitancy and anticipation in judgment were most to be
dreaded, I thought that I ought not to approach it till I had reached a
more mature age (being at that time but twenty-three), and had first of
all employed much of my time in preparation for the work, as well by
eradicating from my mind all the erroneous opinions I had up to that
moment accepted, as by amassing variety of experience to afford materials
for my reasonings, and by continually exercising myself in my chosen
method with a view to increased skill in its application. _
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