Benedictus Spinoza

Improvement of the Understanding
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On the Improvement of the Understanding
(Treatise on the Emendation of the Intellect)

by Baruch Spinoza  [Benedict de Spinoza]

Translated by R. H. M. Elwes




TABLE OF CONTENTS:




1   On the Improvement of the Understanding
3   Of the ordinary objects of men's desires
12  Of the true and final good
17  Certain rules of life
19  Of the four modes of perception
25  Of the best mode of perception
33  Of the instruments of the intellect, or true ideas
43  Answers to objections

   
First part of method:

50  Distinction of true ideas from fictitious ideas
64  And from false ideas
77  Of doubt
81  Of memory and forgetfulness
86  Mental hindrances from words - and from the popular confusion
    of ready imagination with distinct understanding. 


Second part of method: 

91  Its object, the acquisition of clear and distinct ideas
94  Its means, good definitions
    Conditions of definition
107 How to define understanding


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[Notice to the Reader.]
(This notice to the reader was written by the editors of the
Opera Postuma in 1677.  Taken from Curley, Note 3, at end)


*This Treatise on the Emendation of the Intellect etc., which we
give you here, kind reader, in its unfinished [that is, defective]
state, was written by the author many years ago now. He always
intended to finish it. But hindered by other occupations, and
finally snatched away by death, he was unable to bring it to the
desired conclusion. But since it contains many excellent and useful
things, which - we have no doubt - will be of great benefit to
anyone sincerely seeking the truth, we did not wish to deprive you
of them. And so that you would be aware of, and find less difficult
to excuse, the many things that are still obscure, rough, and
unpolished, we wished to warn you of them. Farewell.*





[1]  (1) After experience had taught me that all the usual
surroundings of social life are vain and futile; seeing that none
of the objects of my fears contained in themselves anything either
good or bad, except in so far as the mind is affected by them,
I finally resolved to inquire whether there might be some real
good having power to communicate itself, which would affect the
mind singly, to the exclusion of all else: whether, in fact, there
might be anything of which the discovery and attainment would
enable me to enjoy continuous, supreme, and unending happiness.

[2]  (1) I say "I finally resolved," for at first sight it seemed
unwise willingly to lose hold on what was sure for the sake of
something then uncertain.  (2) I could see the benefits which are
acquired through fame and riches, and that I should be obliged to
abandon the quest of such objects, if I seriously devoted myself
to the search for something different and new.  (3) I perceived
that if true happiness chanced to be placed in the former I should 
necessarily miss it; while if, on the other hand, it were not so
placed, and I gave them my whole attention, I should equally fail. 

[3]  (1) I therefore debated whether it would not be possible to
arrive at the new principle, or at any rate at a certainty
concerning its existence, without changing the conduct and usual
plan of my life; with this end in view I made many efforts,
in vain.  (2) For the ordinary surroundings of life which are
esteemed by men (as their actions testify) to be the highest
good, may be classed under the three heads - Riches, Fame, and
the Pleasures of Sense: with these three the mind is so absorbed
that it has little power to reflect on any different good.

[4]  (1) By sensual pleasure the mind is enthralled to the extent
of quiescence, as if the supreme good were actually attained, so
that it is quite incapable of thinking of any other object; when
such pleasure has been gratified it is followed by extreme
melancholy, whereby the mind, though not enthralled, is disturbed
and dulled.  (2) The pursuit of honors and riches is likewise very
absorbing, especially if such objects be sought simply for their
own sake, [a] inasmuch as they are then supposed to constitute the
highest good.

[5]  (1) In the case of fame the mind is still more absorbed, for fame
is conceived as always good for its own sake, and as the ultimate end
to which all actions are directed.  (2) Further, the attainment of
riches and fame is not followed as in the case of sensual pleasures by
repentance, but, the more we acquire, the greater is our delight, and,
consequently, the more are we incited to increase both the one and the
other; on the other hand, if our hopes happen to be frustrated we are
plunged into the deepest sadness.  (3) Fame has the further drawback
that it compels its votaries to order their lives according to the
opinions of their fellow-men, shunning what they usually shun, and
seeking what they usually seek.

[6]  (1) When I saw that all these ordinary objects of desire would
be obstacles in the way of a search for something different and new -
nay, that they were so opposed thereto, that either they or it would
have to be abandoned, I was forced to inquire which would prove the
most useful to me: for, as I say, I seemed to be willingly losing
hold on a sure good for the sake of something uncertain.  (6:2) However,
after I had reflected on the matter, I came in the first place to the
conclusion that by abandoning the ordinary objects of pursuit, and
betaking myself to a new quest, I should be leaving a good, uncertain
by reason of its own nature, as may be gathered from what has been
said, for the sake of a good not uncertain in its nature (for I sought
for a fixed good), but only in the possibility of its attainment.

[7] (1) Further reflection convinced me that if I could really get
to the root of the matter I should be leaving certain evils for a
certain good.  (2) I thus perceived that I was in a state of great
peril, and I compelled myself to seek with all my strength for a
remedy, however uncertain it might be; as a sick man struggling with
a deadly disease, when he sees that death will surely be upon him
unless a remedy be found, is compelled to seek a remedy with all his
strength, inasmuch as his whole hope lies therein.  (7:3) All the
objects pursued by the multitude not only bring no remedy that tends
to preserve our being, but even act as hindrances, causing the death
not seldom of those who possess them, [b] and always of those who
are possessed by them. 

[8]  (1) There are many examples of men who have suffered persecution
even to death for the sake of their riches, and of men who in pursuit
of wealth have exposed themselves to so many dangers, that they have
paid away their life as a penalty for their folly.  (2) Examples are
no less numerous of men, who have endured the utmost wretchedness for
the sake of gaining or preserving their reputation.  (3) Lastly,
are innumerable cases of men, who have hastened their death through
over-indulgence in sensual pleasure.

[9]  (1) All these evils seem to have arisen from the fact, that
happiness or unhappiness is made wholly dependent on the quality
of the object which we love.  (2) When a thing is not loved, no
quarrels will arise concerning it - no sadness be felt if it
hatred, in short no disturbances of the mind.  (3) All these
arise from the love of what is perishable, such as the objects
already mentioned.

[10]  (1) But love towards a thing eternal and infinite feeds the
mind wholly with joy, and is itself unmingled with any sadness,
wherefore it is greatly to be desired and sought for with all our
strength.  (2) Yet it was not at random that I used the words,
"If I could go to the root of the matter," for, though what I have
urged was perfectly clear to my mind, I could not forthwith lay
aside all love of riches, sensual enjoyment, and fame.

[11]  (1) One thing was evident, namely, that while my mind was
employed with these thoughts it turned away from its former objects
of desire, and seriously considered the search for a new principle;
this state of things was a great comfort to me, for I perceived
that the evils were not such as to resist all remedies.  (11:2) Although
these intervals were at first rare, and of very short duration, yet
afterwards, as the true good became more and more discernible to me,
they became more frequent and more lasting; especially after I had
recognized that the acquisition of wealth, sensual pleasure, or fame,
is only a hindrance, so long as they are sought as ends not as means;
if they be sought as means, they will be under restraint, and, far
from being hindrances, will further not a little the end for which
they are sought, as I will show in due time.

[12]  (1) I will here only briefly state what I mean by true good,
and also what is the nature of the highest good. (2) In order that
this may be rightly understood, we must bear in mind that the terms
good and evil are only applied relatively, so that the same thing
may be called both good and bad according to the relations in view,
in the same way as it may be called perfect or imperfect.
(3) Nothing regarded in its own nature can be called perfect or
imperfect; especially when we are aware that all things which come
to pass, come to pass according to the eternal order and fixed
laws of nature. 

[13]  (1) However, human weakness cannot attain to this order in its
own thoughts, but meanwhile man conceives a human character much more
stable than his own, and sees that there is no reason why he should
not himself acquire such a character.  (2) Thus he is led to seek
for means which will bring him to this pitch of perfection, and
calls everything which will serve as such means a true good.
(13:3) The chief good is that he should arrive, together with other
individuals if possible, at the possession of the aforesaid
character.  (4) What that character is we shall show in due time,
namely, that it is the knowledge of the union existing being
the mind and the whole of nature. [c]

[14]  (1) This, then, is the end for which I strive, to attain to
such a character myself, and to endeavor that many should attain to
it with me.  (2) In other words, it is part of my happiness to lend
a helping hand, that many others may understand even as I do, so
that their understanding and desire may entirely agree with my own.
(3) In order to bring this about, it is necessary to understand as
much of nature as will enable us to attain to the aforesaid character,
and  also to form a social order such as is most conducive to the
attainment of this character by the greatest number with the least
difficulty and danger. 

[15]  (1) We must seek the assistance of Moral Philosophy [d] and
the Theory of Education; further, as health is no insignificant means
for attaining our end, we must also include the whole science of
Medicine, and, as many difficult things are by contrivance rendered
easy, and we can in this way gain much time and convenience, the
science of Mechanics must in no way be despised. 

[16]  (1) But before all things, a means must be devised for
improving the understanding and purifying it, as far as may be at
the outset, so that it may apprehend things without error, and in
the best possible way.  (2) Thus it is apparent to everyone that I
wish to direct all science to one end [e] and aim, so that we may
attain to the supreme human perfection which we have named; and,
therefore, whatsoever in the sciences does not serve to promote
our object will have to be rejected as useless.  (3) To sum up the
matter in a word, all our actions and thoughts must be directed to
this one end. 

[17]  (1) Yet, as it is necessary that while we are endeavoring to
attain our purpose, and bring the understanding into the right path
we should carry on our life, we are compelled first of all to lay
down certain rules of life as provisionally good, to wit the
following:-
I.  (2) To speak in a manner intelligible to the multitude, and to
    comply with every general custom that does not hinder the
    attainment of our purpose.  (3) For we can gain from the multitude
    no small advantages, provided that we strive to accommodate
    ourselves to its understanding as far as possible: moreover,
    we shall in this way gain a friendly audience for the reception
    of the truth. 
II. (17:4) To indulge ourselves with pleasures only in so far as they
    are necessary for preserving health. 
III. (5) Lastly, to endeavor to obtain only sufficient money or other
    commodities to enable us to preserve our life and health, and to
    follow such general customs as are consistent with our purpose.

[18]  (1) Having laid down these preliminary rules, I will betake
myself to the first and most important task, namely, the amendment
of the understanding, and the rendering it capable of understanding
things in the manner necessary for attaining our end.  (2) In order
to bring this about, the natural order demands that I should here
recapitulate all the modes of perception, which I have hitherto
employed for affirming or denying anything with certainty, so that
I may choose the best, and at the same time begin to know my own
powers and the nature which I wish to perfect.

[19] (1) Reflection shows that all modes of perception or knowledge
may be reduced to four:-
I. (2) Perception arising from hearsay or from some sign which
   everyone may name as he please. 
II. (3) Perception arising from mere experience - that is, form
   experience not yet classified by the intellect, and only so called
   because the given event has happened to take place, and we have no
   contradictory fact to set against it, so that it therefore remains
   unassailed in our minds.
III. (19:4) Perception arising when the essence of one thing is inferred
   from another thing, but not adequately; this comes when [f] from some
   effect we gather its cause, or when it is inferred from some general
   proposition that some property is  always present.
IV. (5) Lastly, there is the perception arising when a thing is
   perceived solely through its essence, or through the knowledge
   of its proximate cause.

[20] (1) All these kinds of perception I will illustrate by examples.
(2) By hearsay I know the day of my birth, my parentage, and other
matters about which I have never felt any doubt.  (3) By mere
experience I know that I shall die, for this I can affirm from
having seen that others like myself have died, though all did not
live for the same period, or die by the same disease.  (4) I know
by mere experience that oil has the property of feeding fire, and
water of extinguishing it.  (5) In the same way I know that a dog
is a barking animal, man a rational animal, and in fact nearly all
the practical knowledge of life. 

[21]  (1) We deduce one thing from another as follows: when we
clearly perceive that we feel a certain body and no other, we
thence clearly infer that the mind is united [g] to the body,
and that their union is the cause of the given sensation; but
we cannot thence absolutely understand [h] the nature of the
sensation and the union.  (2) Or, after I have become acquainted
with the nature of vision, and know that it has the property of
making one and the same thing appear smaller when far off than
when near, I can infer that the sun is larger than it appears,
and can draw other conclusions of the same kind. 

[22]  (1) Lastly, a thing may be perceived solely through its essence;
when, from the fact of knowing something, I know what it is to know
that thing, or when, from knowing the essence of the mind, I know
that it is united to the body.  (2) By the same kind of knowledge
we know that two and three make five, or that two lines each parallel
to a third, are parallel to one another, &c. (3) The things which I
have been able to know by this kind of knowledge are as yet very few. 

[23]  (1) In order that the whole matter may be put in a clearer
light, I will make use of a single illustration as follows.
(2) Three numbers are given - it is required to find a fourth,
which shall be to the third as the second is to the first.
(23:3) Tradesmen will at once tell us that they know what is required
to find the fourth number, for they have not yet forgotten the rule
which was given to them arbitrarily without proof by their masters;
others construct a universal axiom from their experience with simple
numbers, where the fourth number is self-evident, as in the case of
2, 4, 3, 6; here it is evident that if the second number be
multiplied by the third, and the product divided by the first,
the quotient is 6; when they see that by this process the number
is produced which they knew beforehand to be the proportional,
they infer that the process always holds good for finding a fourth
number proportional. 

[24]  (1) Mathematicians, however, know by the proof of the nineteenth
proposition of the seventh book of Euclid, what numbers are
proportionals, namely, from the nature and property of proportion
it follows that the product of the first and fourth will be equal
to the product of the second and third: still they do not see the
adequate proportionality of the given numbers, or, if they do see it,
they see it not by virtue of Euclid's proposition, but intuitively,
without going through any process. 

[25] (1) In order that from these modes of perception the best may
be selected, it is well that we should briefly enumerate the means
necessary for attaining our end.

I.  (2) To have an exact knowledge of our nature which we desire to
    perfect, and to know as much as is needful of nature in general. 
            
II. To collect in this way the differences, the agreements, and the
    oppositions of things.
            
III. To learn thus exactly how far they can or cannot be modified.
            
IV. To compare this result with the nature and power of man.
    (4) We shall thus discern the highest degree of perfection
    to which man is capable of attaining.

[26] (1) We shall then be in a position to see which mode of
perception we ought to choose.  (2) As to the first mode, it is
evident that from hearsay our knowledge must always be uncertain,
and, moreover, can give us no insight into the essence of a thing,
as is manifest in our illustration; now one can only arrive at
knowledge of a thing through knowledge of its essence, as will
hereafter appear.  (3) We may, therefore clearly conclude that
the certainty arising from hearsay cannot be scientific in its
character.  (4) For simple hearsay cannot affect anyone whose
understanding does not, so to speak, meet it half way.

[27]  (1) The second mode of perception [i] cannot be said to
give us the idea of the proportion of which we are in search.
(2) Moreover its results are very uncertain and indefinite,
for we shall never discover anything in natural phenomena by its
means, except accidental properties, which are never clearly
understood, unless the essence of the things in question be
known first.  (3) Wherefore this mode also must be rejected. 

[28] (1) Of the third mode of perception we may say in a manner
that it gives us the idea of the thing sought, and that it 
us to draw conclusions without risk of error; yet it is not by
itself sufficient to put us in possession of the perfection we
aim at. 

[29] (1) The fourth mode alone apprehends the adequate essence of
a thing without danger of error.  (2) This mode, therefore, must be
the one which we chiefly employ.  (3) How, then, should we avail
ourselves of it so as to gain the fourth kind of knowledge with
the least delay concerning things previously unknown?  (4) I will
proceed to explain. 

[30] (1) Now that we know what kind of knowledge is necessary for
us, we must indicate the way and the method whereby we may gain
the said knowledge concerning the things needful to be known.
(2) In order to accomplish this, we must first take care not to
commit ourselves to a search, going back to infinity - that is,
in order to discover the best method of finding truth, there is
no need of another method to discover such method; nor of a third
method for discovering the second, and so on to infinity.  (3) By
such proceedings, we should never arrive at the knowledge of the
truth, or, indeed, at any knowledge at all.  (30:4) The matter stands
on the same footing as the making of material tools, which might
be argued about in a similar way.  (5) For, in order to work iron,
a hammer is needed, and the hammer cannot be forthcoming unless
it has been made; but, in order to make it, there was need
of another hammer and other tools, and so on to infinity.
(6) We might thus vainly endeavor to prove that men have no
power of working iron.

[31]  (1) But as men at first made use of the instruments supplied
by nature to accomplish very easy pieces of workmanship, laboriously
and imperfectly, and then, when these were finished, wrought other
things more difficult with less labour and greater perfection;
and so gradually mounted from the simplest operations to the making
of tools, and from the making of tools to the making of more complex
tools, and fresh feats of workmanship, till they arrived at making,
complicated mechanisms which they now possess.  (31:2) So, in like
manner, the intellect, by its native strength, [k], makes for itself
intellectual instruments, whereby it acquires strength for performing
other intellectual operations, [l], and from these operations 
again fresh instruments, or the power of pushing its investigations
further, and thus gradually proceeds till it reaches the summit
of wisdom. 

[32]  (1) That this is the path pursued by the understanding may be
readily seen, when we understand the nature of the method for
finding out the truth, and of the natural instruments so necessary
complex instruments, and for the progress of investigation. I thus
proceed with my demonstration. 

[33]  (1) A true idea, [m], (for we possess a true idea) is something
different from its correlate (ideatum); thus a circle is different
from the idea of a circle. (2) The idea of a circle is not something
having a circumference and a center, as a circle has; nor is the idea
of a body that body itself. (3) Now, as it is something different
from its correlate, it is capable of being understood through itself;
in other words, the idea, in so far as its actual essence (essentia
formalis) is concerned, may be the subject of another subjective
essence (essentia objectiva).  [33note1] (4) And, again, this second
subjective essence will, regarded in itself, be something real, 
capable of being understood; and so on, indefinitely. 

[34] (1) For instance, the man Peter is something real; the true
idea of Peter is the reality of Peter represented subjectively,
and is in itself something real, and quite distinct from the
actual Peter.  (2) Now, as this true idea of Peter is in itself
something real, and has its own individual existence, it will
also be capable of being understood - that is, of being the
subject of another idea, which will contain by representation
(objective) all that the idea of Peter contains actually
(formaliter).  (3) And, again, this idea of the idea of Peter
has its own individuality, which may become the subject of yet
another idea; and so on, indefinitely.  (4) This everyone may
make trial of for himself, by reflecting that he knows what
Peter is, and also knows that he knows, and further knows that
he knows that he knows, &c.  (34:5) Hence it is plain that, in
order to understand the actual Peter, it is not necessary first
to understand the idea of Peter, and still less the idea of
the idea of Peter.  (6) This is the same as saying that, in order
to know, there is no need to know that we know, much less to
know that we know that we know.  (7) This is no more necessary
than to know the nature of a circle before knowing the nature of
a triangle. [n].  (8) But, with these ideas, the contrary is the
case: for, in order to know that I know, I must first know. 

[35] (1) Hence it is clear that certainty is nothing else than
the subjective essence of a thing: in other words, the mode in
which we perceive an actual reality is certainty.  (2) Further,
it is also evident that, for the certitude of truth, no further
sign is necessary beyond the possession of a true idea: for,
as I have shown, it is not necessary to know that we know that
we know.  (3) Hence, again, it is clear that no one can know
the nature of the highest certainty, unless he possesses an
adequate idea, or the subjective essence of a thing: 
certainty is identical with such subjective essence. 

[36]  (1) Thus, as the truth needs no sign - it being to possess
the subjective essence of things, or, in other words, the ideas
of them, in order that all doubts may be removed - it follows
that the true method does not consist in seeking for the signs
of truth after the acquisition of the idea, but that the true
method teaches us the order in which we should seek for truth
itself, [o] or the subjective essences of things, or ideas,
for all these expressions are synonymous. 

[37] (1) Again, method must necessarily be concerned with
reasoning or understanding - I mean, method is not identical
with reasoning in the search for causes, still less is it
the comprehension of the causes of things: it is the
discernment of a true idea, by distinguishing it from other
perceptions, and by investigating its nature, in order that
we may so train our mind that it may, by a given standard,
comprehend whatsoever is intelligible, by laying down
certain rules as aids, and by avoiding useless mental
exertion. 

[38]  (1) Whence we may gather that method is nothing else
than reflective knowledge, or the idea of an idea; and that
as there can be no idea of an idea - unless an idea exists
previously, - there can be no method without a pre-existent
idea.  (2) Therefore, that will be a good method which
shows us how the mind should be directed, according to the
standard of the given true idea.  
   (38:3) Again, seeing that the ratio existing between two
ideas the same as the ratio between the actual realities
corresponding to those ideas, it follows that the reflective
knowledge which has for its object the most perfect being is
more excellent than reflective knowledge concerning other
objects - in other words, that method will be most perfect
which affords the standard of the given idea of the most
perfect being whereby we may direct our mind. 

[39] (1) We thus easily understand how, in proportion as it
acquires new ideas, the mind simultaneously acquires fresh
instruments for pursuing its inquiries further. (2) For we
may gather from what has been said, that a true idea must
necessarily first of all exist in us as a natural instrument;
and that when this idea is apprehended by the mind, it enables
us to understand the difference existing between itself and
all other perceptions.  (3) In this, one part of the method
consists. 
    (39:4) Now it is clear that the mind apprehends itself better
in proportion as it understands a greater number of natural
objects; it follows, therefore, that this portion of the method
will be more perfect in proportion as the mind attains to the
comprehension of a greater number of objects, and that it will
be absolutely perfect when the mind gains a knowledge of the
absolutely perfect being, or becomes conscious thereof. 

[40]  (1) Again, the more things the mind knows, the better does
it understand its own strength and the order of nature; by
increased self-knowledge, it can direct itself more easily, and
lay down rules for its own guidance; and, by increased knowledge
of nature, it can more easily avoid what is useless.  (2) And
this is the sum total of method, as we have already stated. 

[41]  (1) We may add that the idea in the world of thought is in
the same case as its correlate in the world of reality.  (2) If,
therefore, there be anything in nature which is without connection
with any other thing, and if we assign to it a subjective essence,
which would in every way correspond to the objective reality,
the subjective essence would have no connection, [p] with any
other ideas - in other words, we could not draw any conclusions
with regard to it.  (41:3) On the other hand, those things which are
connected with others - as all things that exist in nature - will
be understood by the mind, and their subjective essences will
maintain the same mutual relations as their objective realities - 
that is to say, we shall infer from these ideas other ideas, which
will in turn be connected with others, and thus our instruments
for proceeding with our investigation will increase.  (4) This is
what we were endeavoring to prove. 

[42]  (1) Further, from what has just been said - namely, that an
idea must, in all respects, correspond to its correlate in the
world of reality, - it is evident that, in order to reproduce in
every respect the faithful image of nature, our mind must deduce
all its ideas from the idea which represents the origin and source
of the whole of nature, so that it may itself become the source
of other ideas. 

[43]  (1) It may, perhaps, provoke astonishment that, after having
said that the good method is that which teaches us to direct our
mind according to the standard of the given true idea, we should
prove our point by reasoning, which would seem to indicate that it
is not self-evident.  (2) We may, therefore, be questioned as to
the validity of our reasoning.  (3) If our reasoning be sound, we
must take as a starting-point a true idea.  (4) Now, to be certain
that our starting-point is really a true idea, we need proof. 
(5) This first course of reasoning must be supported by a second,
the second by a third, and so on to infinity. 

[44]  (1) To this I make answer that, if by some happy chance anyone
had adopted this method in his investigations of nature - that is,
if he had acquired new ideas in the proper order, according to the
standard of the original true idea, he would never have doubted [q]
of the truth of his knowledge, inasmuch as truth, as we have shown,
makes itself manifest, and all things would flow, as it were,
spontaneously towards him.  (44:2) But as this never, or rarely,
happens, I have been forced so to arrange my proceedings, that we
may acquire by reflection and forethought what we cannot acquire
by chance, and that it may at the same time appear that, for
proving the truth, and for valid reasoning, we need no other means
than the truth and valid reasoning themselves: for by valid
reasoning I have established valid reasoning, and, in like measure,
I seek still to establish it. 

[45]  (1) Moreover, this is the order of thinking adopted by men
in their inward meditations.  (2) The reasons for its rare employment
in investigations of nature are to be found in current misconceptions,
whereof we shall examine the causes hereafter in our philosophy.
(3) Moreover, it demands, as we shall show, a keen and accurate
discernment.  (4) Lastly, it is hindered by the conditions of human
life, which are, as we have already pointed out, extremely changeable.
(5) There are also other obstacles, which we will not here inquire into. 

 
[46]  (1) If anyone asks why I have not at the starting-point set forth
all the truths of nature in their due order, inasmuch as truth is
self-evident, I reply by warning him not to reject as false any
paradoxes he may find here, but to take the trouble to reflect on
the chain of reasoning by which they are supported; he will then
be no longer in doubt that we have attained to the truth.
(2) This is why I have as above. 

[47] (1) If there yet remains some sceptic, who doubts of our
primary truth, and of all deductions we make, taking such truth
as our standard, he must either be arguing in bad faith, or we
must confess that there are men in complete mental blindness
either innate or due to misconceptions - that is, to some external
influence.  (2) Such persons are not conscious of themselves.
(3) If they affirm or doubt anything, they know not that they
affirm or doubt: they say that they know nothing, and they say
that they are ignorant of the very fact of their knowing nothing.
(4) Even this they do not affirm absolutely, they are afraid of
confessing that they exist, so long as they know nothing;
in fact, they ought to remain dumb, for fear of haply supposing
which should smack of truth.

[48]  (1) Lastly, with such persons, one should not speak of
sciences: for, in what relates to life and conduct, they are
compelled by necessity to suppose that they exist, and seek
their own advantage, and often affirm and deny, even with an
oath.  (2) If they deny, grant, or gainsay, they know not that
they deny, grant, or gainsay, so that they ought to be
regarded as automata, utterly devoid of intelligence.

[49] (1) Let us now return to our proposition.  (2) Up to the present,
we have, first, defined the end to which we desire to direct all our
thoughts; secondly, we have determined the mode of perception best
adapted to aid us in attaining our perfection; thirdly, we have
discovered the way which our mind should take, in order to make a good
beginning - namely, that it should use every true idea as a standard in
pursuing its inquiries according to fixed rules.  (49:3) Now, in order
that it may thus proceed, our method must furnish us, first, with a
means of distinguishing a true idea from all other perceptions, and
enabling the mind to avoid the latter; secondly, with rules for
perceiving unknown things according to the standard of the true idea;
thirdly, with an order which enables us to avoid useless labor.
(49:4) When we became acquainted with this method, we saw that,
fourthly, it would be perfect when we had attained to the idea of the
absolutely perfect Being.  (5) This is an observation which should be
made at the outset, in order that we may arrive at the knowledge of
such a being more quickly. 

[50] (1) Let us then make a beginning with the first part of the method,
which is, as we have said, to distinguish and separate the true idea
from other perceptions, and to keep the mind from confusing with true
ideas those which are false, fictitious, and doubtful.  (2) I intend to
dwell on this point at length, partly to keep a distinction so necessary 
before the reader's mind, and also because there are some who doubt of
true ideas, through not having attended to the distinction between a true
perception and all others.  (3) Such persons are like men who, while they
are awake, doubt not that they are awake, but afterwards in a dream, as
often happens, thinking that they are surely awake, and then finding that
they were in error, become doubtful even of being awake.  (4) This state
of mind arises through neglect of the distinction between sleeping and
waking.

[51]  (1) Meanwhile, I give warning that I shall not here give 
essence of every perception, and explain it through its proximate
cause.  (2) Such work lies in the province of philosophy.  (3) I shall
confine myself to what concerns method - that is, to the character of
fictitious, false and doubtful perceptions, and the means of freeing
ourselves therefrom.  (4) Let us then first inquire into the nature of
a fictitious idea. 

[52]  (1) Every perception has for its object either a thing considered
as existing, or solely the essence of a thing.  (2) Now "fiction" is
chiefly occupied with things considered as existing.  (3) I will,
therefore, consider these first - I mean cases where only the existence
of an object is feigned, and the thing thus feigned is understood, or
assumed to be understood.  (4) For instance, I feign that Peter, whom
I know to have gone home, is gone to see me, [r] or something of that
kind.  (5) With what is such an idea concerned?  (6) It is concerned
with things possible, and not with things necessary or impossible. 

[53] (1) I call a thing impossible when its existence would imply a
contradiction; necessary, when its non-existence would imply a
contradiction; possible, when neither its existence nor its
non-existence imply a contradiction, but when the necessity or
impossibility of its nature depends on causes unknown to us, while
we feign that it exists.  (2) If the necessity or impossibility of
its existence depending on external causes were known to us, we
could not form any fictitious hypotheses about it; 

[54] (1) Whence it follows that if there be a God, or omniscient
Being, such an one cannot form fictitious hypotheses.  (2) For,
as regards ourselves, when I know that I exist, [s] I cannot
hypothesize that I exist or do not exist, any more than I can
hypothesize an elephant that can go through the eye of a needle;
nor when I know the nature of God, can I hypothesize that He 
or does not exist. [t]  (54:3) The same thing must be said of the
Chimaera, whereof the nature implies a contradiction.  (4) From
these considerations, it is plain, as I have already stated, that
fiction cannot be concerned with eternal truths. [u]

[55]  (1) But before proceeding further, I must remark, in passing,
that the difference between the essence of one thing and the essence
of another thing is the same as that which exists between the reality
or existence of one thing and the reality or existence of another;
therefore, if we wished to conceive the existence, for example,
of Adam, simply by means of existence in general, it would be the
same as if, in order to conceive his existence, we went back to the
nature of being, so as to define Adam as a being.  (2) Thus, the more
existence is conceived generally, the more is it conceived confusedly
and the more easily can it be ascribed to a given object.
(55:3) Contrariwise, the more it is conceived particularly, the more
is it understood clearly, and the less liable is it to be ascribed,
through negligence of Nature's order, to anything save its proper
object.  (4) This is worthy of remark. 

[56]  (1) We now proceed to consider those cases which are commonly
called fictions, though we clearly understood that the thing is not
as we imagine it.  (2) For instance, I know that the earth is round,
but nothing prevents my telling people that it is a hemisphere,
and that it is like a half apple carved in relief on a dish; or,
that the sun moves round the earth, and so on.  (56:3) However,
examination will show us that there is nothing here inconsistent
with what has been said, provided we first admit that we may have
made mistakes, and be now conscious of them; and, further, that we
can hypothesize, or at least suppose, that others are under the 
same mistake as ourselves, or can, like us, fall under it.  (4) We can,
I repeat, thus hypothesize so long as we see no impossibility.
(56:5) Thus, when I tell anyone that the earth is not round, &c.,
I merely recall the error which I perhaps made myself, or which I
might have fallen into, and afterwards I hypothesize that the person
to whom I tell it, is still, or may still fall under the same mistake.
(6) This I say, I can feign so long as I do not perceive any
impossibility or necessity; if I truly understood either one or the
other I should not be able to feign, and I should be reduced to saying
that I had made the attempt.

[57]  (1) It remains for us to consider hypotheses made in problems,
which sometimes involve impossibilities.  (2) For instance, when we
say - let us assume that this burning candle is not burning, or,
let us assume that it burns in some imaginary space, or where there
are no physical objects.  (3) Such assumptions are freely made,
though the last is clearly seen to be impossible.  (4) But, though
this be so, there is no fiction in the case.  (57:5) For, in the first
case, I have merely recalled to memory, [x] another candle not
burning, or conceived the candle before me as without a flame, and
then I understand as applying to the latter, leaving its flame out
of the question, all that I think of the former.  (6) In the second
case, I have merely to abstract my thoughts from the objects
surrounding the candle, for the mind to devote itself to the
contemplation of the candle singly looked at in itself only; I can
then draw the conclusion that the candle contains in itself no
causes for its own destruction, so that if there were no physical
objects the candle, and even the flame, would remain unchangeable,
and so on.  (7) Thus there is here no fiction, but, [y] true and
bare assertions. 

[58] (1) Let us now pass on to the fictions concerned with essences
only, or with some reality or existence simultaneously.  (2) Of
these we must specially observe that in proportion as the mind's
understanding is smaller, and its experience multiplex, so will its
power of coining fictions be larger, whereas as its understanding
increases, its capacity for entertaining fictitious ideas becomes
less.  (58:3) For instance, in the same way as we are unable, while
we are thinking, to feign that we are thinking or not thinking, so,
also, when we know the nature of body we cannot imagine an infinite
fly; or, when we know the nature of the soul, [z] we cannot imagine
it as square, though anything may be expressed verbally.  (4) But,
as we said above, the less men know of nature the more easily can
they coin fictitious ideas, such as trees speaking, men instantly
changed into stones, or into fountains, ghosts appearing in mirrors,
something issuing from nothing, even gods changed into beasts and men
and infinite other absurdities of the same kind. 

[59] (1) Some persons think, perhaps, that fiction is limited by
fiction, and not by understanding; in other words, after I have
formed some fictitious idea, and have affirmed of my own free will
that it exists under a certain form in nature, I am thereby
precluded from thinking of it under any other form.  (2) For
instance, when I have feigned (to repeat their argument) that the
nature of body is of a certain kind, and have of my own free will
desired to convince myself that it actually exists under this
form, I am no longer able to hypothesize that a fly, for example,
is infinite; so, when I have hypothesized the essence of the soul,
I am not able to think of it as square, &c. 

[60] (1) But these arguments demand further inquiry. (2) First,
their upholders must either grant or deny that we can understand
anything. If they grant it, then necessarily the same must be
said of understanding, as is said of fiction. (3) If they deny
it, let us, who know that we do know something, see what they
mean.  (4) They assert that the soul can be conscious of, and
perceive in a variety of ways, not itself nor things which
exist, but only things which are neither in itself nor anywhere
else, in other words, that the soul can, by its unaided power,
create sensations or ideas unconnected with things.  (5) In fact,
they regard the soul as a sort of god.  (60:6) Further, they assert
that we or our soul have such freedom that we can constrain
ourselves, or our soul, or even our soul's freedom.  (7) For,
after it has formed a fictitious idea, and has given its assent
thereto, it cannot think or feign it in any other manner, but is
constrained by the first fictitious idea to keep all its other
thoughts in harmony therewith.  (8) Our opponents are thus driven
to admit, in support of their fiction, the absurdities which I
have just enumerated; and which are not worthy of rational
refutation. 

[61]  (1) While leaving such persons in their error, we will take
care to derive from our argument with them a truth serviceable for
our purpose, namely, [61a] that the mind, in paying attention to
a thing hypothetical or false, so as to meditate upon it and
understand it, and derive the proper conclusions in due order
therefrom, will readily discover its falsity; and if the thing
hypothetical be in its nature true, and the mind pays attention 
to it, so as to understand it, and deduce the truths which are
derivable from it, the mind will proceed with an uninterrupted
series of apt conclusions; in the same way as it would at once
discover (as we showed just now) the absurdity of a false
hypothesis, and of the conclusions drawn from it. 

[62]  (1) We need, therefore, be in no fear of forming hypotheses,
so long as we have a clear and distinct perception of what is
involved.  (2) For, if we were to assert, haply, that men are
suddenly turned into beasts, the statement would be extremely
general, so general that there would be no conception, that is,
no idea or connection of subject and predicate, in our mind.
(3) If there were such a conception we should at the same time
be aware of the means and the causes whereby the event took place.
(4) Moreover, we pay no attention to the nature of the subject
and the predicate. 

[63]  (1) Now, if the first idea be not fictitious, and if all the
other ideas be deduced therefrom, our hurry to form fictitious ideas
will gradually subside.  (2) Further, as a fictitious idea cannot be
clear and distinct, but is necessarily confused, and as all confusion
arises from the fact that the mind has only partial knowledge of a
thing either simple or complex, and does not distinguish between the
known and the unknown, and, again, that it directs its attention
promiscuously to all parts of an object at once without making
distinctions, it follows, first, that if the idea be of something
very simple, it must necessarily be clear and distinct.  (3) For
a very simple object cannot be known in part, it must either be
known altogether or not at all. 

[64]  (1) Secondly, it follows that if a complex object be divided by
thought into a number of simple component parts, and if each be
regarded separately, all confusion will disappear.  (2) Thirdly, it
follows that fiction cannot be simple, but is made up of the blending
of several confused ideas of diverse objects or actions existent in
nature, or rather is composed of attention directed to all such ideas
at once, [64b] and unaccompanied by any mental assent. 
   (64:3) Now a fiction that was simple would be clear and distinct,
and therefore true, also a fiction composed only of distinct ideas
would be clear and distinct, and therefore true.  (4) For instance,
when we know the nature of the circle and the square, it is
impossible for us to blend together these two figures, and to
hypothesize a square circle, any more than a square soul, or things
of that kind. 

[65] (1) Let us shortly come to our conclusion, and again repeat
that we need have no fear of confusing with true ideas that which
is only a fiction.  (2) As for the first sort of fiction of which
we have already spoken, when a thing is clearly conceived, we saw
that if the existence of a that thing is in itself an eternal trut
fiction can have no part in it; but if the existence of the 
conceived be not an eternal truth, we have only to be careful 
such existence be compared to the thing's essence, and to
consider the order of nature. (64:3) As for the second sort of
fiction, which we stated to be the result of simultaneously
directing the attention, without the assent of the intellect,
to different confused ideas representing different things and
actions existing in nature, we have seen that an absolutely
simple thing cannot be feigned, but must be understood, and that
a complex thing is in the same case if we regard separately the
simple parts whereof it is composed; we shall not even be able
to hypothesize any untrue action concerning such objects, for we
shall be obliged to consider at the same time the causes and manner
of such action.

[66]  (1) These matters being thus understood, let us pass on to
consider the false idea, observing the objects with which it is
concerned, and the means of guarding ourselves from falling into
false perceptions.  (2) Neither of these tasks will present much
difficulty, after our inquiry concerning fictitious ideas.
(3) The false idea only differs from the fictitious idea in the
fact of implying a mental assent - that is, as we have already
remarked, while the representations are occurring, there are no
causes present to us, wherefrom, as in fiction, we can conclude
that such representations do not arise from external objects:
in fact, it is much the same as dreaming with our eyes open,
or while awake.  (67:4) Thus, a false idea is concerned with, or
(to speak more correctly) is attributable to, the existence of
a thing whereof the essence is known, or the essence itself, in
the same way as a fictitious idea. 

[67]  (1) If attributable to the existence of the thing, it is
corrected in the same way as a fictitious idea under similar
circumstances.  (2) If attributable to the essence, it is
likewise corrected in the same way as a fictitious idea.
(67:3) For if the nature of the thing known implies necessary
existence, we cannot possible be in error with regard to its
existence; but if the nature of the thing be not an eternal
truth, like its essence, but contrariwise the necessity or
impossibility of its existence depends on external causes,
then we must follow the same course as we adopted in the 
of fiction, for it is corrected in the same manner. 

[68]  (1) As for false ideas concerned with essences, or even
with actions, such perceptions are necessarily always confused,
being compounded of different confused perceptions of things
existing in nature, as, for instance, when men are persuaded
that deities are present in woods, in statues, in brute beasts,
and the like; that there are bodies which, by their composition
alone, give rise to intellect; that corpses reason, walk about,
and speak; that God is deceived, and so on.  (68:2) But ideas which
are clear and distinct can never be false: for ideas of things
clearly and distinctly conceived are either very simple
themselves, or are compounded from very simple ideas, that is,
are deduced therefrom.  (3) The impossibility of a very simple
idea being false is evident to everyone who understands the nature
of truth or understanding and of falsehood. 

[69]  (1) As regards that which constitutes the reality of truth,
it is certain that a true idea is distinguished from a false one,
not so much by its extrinsic object as by its intrinsic nature.
(2) If an architect conceives a building properly constructed,
though such a building may never have existed, and amy never exist,
nevertheless the idea is true; and the idea remains the same,
whether it be put into execution or not.  (69:3) On the other hand,
if anyone asserts, for instance, that Peter exists, without
knowing whether Peter really exists or not, the assertion, as far
as its asserter is concerned, is false, or not true, even though
Peter actually does exist.  (4) The assertion that Peter exists is
true only with regard to him who knows for certain that Peter does
exist.
                
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