"Rene Descartes - Truth in the Sciences" - читать интересную книгу автора (Descartes Rene)

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.