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Project Gutenberg's Etext On the Improvement of the Understanding
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(Treatise on the Emendation of the Intellect), by Baruch Spinoza
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On the Improvement of the Understanding
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(Treatise on the Emendation of the Intellect)
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by Baruch Spinoza [Benedict de Spinoza]
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Translated by R. H. M. Elwes
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August, 1997 [Etext #1016]
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Project Gutenberg's Etext On the Improvement of the Understanding
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*END*THE SMALL PRINT! FOR PUBLIC DOMAIN ETEXTS*Ver.04.29.93*END*
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On the Improvement of the Understanding
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(Treatise on the Emendation of the Intellect)
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by Baruch Spinoza [Benedict de Spinoza]
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Translated by R. H. M. Elwes
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TABLE OF CONTENTS:
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1 On the Improvement of the Understanding
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3 Of the ordinary objects of men's desires
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12 Of the true and final good
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17 Certain rules of life
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19 Of the four modes of perception
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25 Of the best mode of perception
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33 Of the instruments of the intellect, or true ideas
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43 Answers to objections
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First part of method:
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50 Distinction of true ideas from fictitious ideas
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64 And from false ideas
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77 Of doubt
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81 Of memory and forgetfulness
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86 Mental hindrances from words - and from the popular confusion
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of ready imagination with distinct understanding.
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Second part of method:
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91 Its object, the acquisition of clear and distinct ideas
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94 Its means, good definitions
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Conditions of definition
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107 How to define understanding
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----------------------------------------------------------------------------
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[Notice to the Reader.]
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(This notice to the reader was written by the editors of the
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Opera Postuma in 1677. Taken from Curley, Note 3, at end)
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*This Treatise on the Emendation of the Intellect etc., which we
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give you here, kind reader, in its unfinished [that is, defective]
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state, was written by the author many years ago now. He always
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intended to finish it. But hindered by other occupations, and
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finally snatched away by death, he was unable to bring it to the
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desired conclusion. But since it contains many excellent and useful
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things, which - we have no doubt - will be of great benefit to
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anyone sincerely seeking the truth, we did not wish to deprive you
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of them. And so that you would be aware of, and find less difficult
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to excuse, the many things that are still obscure, rough, and
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unpolished, we wished to warn you of them. Farewell.*
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[1] (1) After experience had taught me that all the usual
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surroundings of social life are vain and futile; seeing that none
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of the objects of my fears contained in themselves anything either
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good or bad, except in so far as the mind is affected by them,
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I finally resolved to inquire whether there might be some real
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good having power to communicate itself, which would affect the
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mind singly, to the exclusion of all else: whether, in fact, there
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might be anything of which the discovery and attainment would
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enable me to enjoy continuous, supreme, and unending happiness.
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[2] (1) I say "I finally resolved," for at first sight it seemed
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unwise willingly to lose hold on what was sure for the sake of
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something then uncertain. (2) I could see the benefits which are
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acquired through fame and riches, and that I should be obliged to
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abandon the quest of such objects, if I seriously devoted myself
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to the search for something different and new. (3) I perceived
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that if true happiness chanced to be placed in the former I should
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necessarily miss it; while if, on the other hand, it were not so
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placed, and I gave them my whole attention, I should equally fail.
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[3] (1) I therefore debated whether it would not be possible to
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arrive at the new principle, or at any rate at a certainty
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concerning its existence, without changing the conduct and usual
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plan of my life; with this end in view I made many efforts,
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in vain. (2) For the ordinary surroundings of life which are
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esteemed by men (as their actions testify) to be the highest
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good, may be classed under the three heads - Riches, Fame, and
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the Pleasures of Sense: with these three the mind is so absorbed
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that it has little power to reflect on any different good.
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[4] (1) By sensual pleasure the mind is enthralled to the extent
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of quiescence, as if the supreme good were actually attained, so
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that it is quite incapable of thinking of any other object; when
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such pleasure has been gratified it is followed by extreme
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melancholy, whereby the mind, though not enthralled, is disturbed
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and dulled. (2) The pursuit of honors and riches is likewise very
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absorbing, especially if such objects be sought simply for their
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own sake, [a] inasmuch as they are then supposed to constitute the
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highest good.
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[5] (1) In the case of fame the mind is still more absorbed, for fame
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is conceived as always good for its own sake, and as the ultimate end
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to which all actions are directed. (2) Further, the attainment of
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riches and fame is not followed as in the case of sensual pleasures by
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repentance, but, the more we acquire, the greater is our delight, and,
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consequently, the more are we incited to increase both the one and the
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other; on the other hand, if our hopes happen to be frustrated we are
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plunged into the deepest sadness. (3) Fame has the further drawback
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that it compels its votaries to order their lives according to the
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opinions of their fellow-men, shunning what they usually shun, and
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seeking what they usually seek.
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[6] (1) When I saw that all these ordinary objects of desire would
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be obstacles in the way of a search for something different and new -
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nay, that they were so opposed thereto, that either they or it would
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have to be abandoned, I was forced to inquire which would prove the
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most useful to me: for, as I say, I seemed to be willingly losing
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hold on a sure good for the sake of something uncertain. (6:2) However,
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after I had reflected on the matter, I came in the first place to the
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conclusion that by abandoning the ordinary objects of pursuit, and
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betaking myself to a new quest, I should be leaving a good, uncertain
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by reason of its own nature, as may be gathered from what has been
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said, for the sake of a good not uncertain in its nature (for I sought
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for a fixed good), but only in the possibility of its attainment.
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[7] (1) Further reflection convinced me that if I could really get
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to the root of the matter I should be leaving certain evils for a
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certain good. (2) I thus perceived that I was in a state of great
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peril, and I compelled myself to seek with all my strength for a
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remedy, however uncertain it might be; as a sick man struggling with
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a deadly disease, when he sees that death will surely be upon him
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unless a remedy be found, is compelled to seek a remedy with all his
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strength, inasmuch as his whole hope lies therein. (7:3) All the
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objects pursued by the multitude not only bring no remedy that tends
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to preserve our being, but even act as hindrances, causing the death
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not seldom of those who possess them, [b] and always of those who
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are possessed by them.
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[8] (1) There are many examples of men who have suffered persecution
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even to death for the sake of their riches, and of men who in pursuit
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of wealth have exposed themselves to so many dangers, that they have
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paid away their life as a penalty for their folly. (2) Examples are
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no less numerous of men, who have endured the utmost wretchedness for
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the sake of gaining or preserving their reputation. (3) Lastly,
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are innumerable cases of men, who have hastened their death through
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over-indulgence in sensual pleasure.
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[9] (1) All these evils seem to have arisen from the fact, that
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happiness or unhappiness is made wholly dependent on the quality
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of the object which we love. (2) When a thing is not loved, no
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quarrels will arise concerning it - no sadness be felt if it
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hatred, in short no disturbances of the mind. (3) All these
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arise from the love of what is perishable, such as the objects
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already mentioned.
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[10] (1) But love towards a thing eternal and infinite feeds the
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mind wholly with joy, and is itself unmingled with any sadness,
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wherefore it is greatly to be desired and sought for with all our
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strength. (2) Yet it was not at random that I used the words,
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"If I could go to the root of the matter," for, though what I have
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urged was perfectly clear to my mind, I could not forthwith lay
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aside all love of riches, sensual enjoyment, and fame.
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[11] (1) One thing was evident, namely, that while my mind was
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employed with these thoughts it turned away from its former objects
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of desire, and seriously considered the search for a new principle;
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this state of things was a great comfort to me, for I perceived
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that the evils were not such as to resist all remedies. (11:2) Although
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these intervals were at first rare, and of very short duration, yet
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afterwards, as the true good became more and more discernible to me,
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they became more frequent and more lasting; especially after I had
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recognized that the acquisition of wealth, sensual pleasure, or fame,
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is only a hindrance, so long as they are sought as ends not as means;
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if they be sought as means, they will be under restraint, and, far
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from being hindrances, will further not a little the end for which
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they are sought, as I will show in due time.
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[12] (1) I will here only briefly state what I mean by true good,
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and also what is the nature of the highest good. (2) In order that
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this may be rightly understood, we must bear in mind that the terms
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good and evil are only applied relatively, so that the same thing
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may be called both good and bad according to the relations in view,
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in the same way as it may be called perfect or imperfect.
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(3) Nothing regarded in its own nature can be called perfect or
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imperfect; especially when we are aware that all things which come
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to pass, come to pass according to the eternal order and fixed
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laws of nature.
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[13] (1) However, human weakness cannot attain to this order in its
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own thoughts, but meanwhile man conceives a human character much more
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stable than his own, and sees that there is no reason why he should
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not himself acquire such a character. (2) Thus he is led to seek
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for means which will bring him to this pitch of perfection, and
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calls everything which will serve as such means a true good.
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(13:3) The chief good is that he should arrive, together with other
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individuals if possible, at the possession of the aforesaid
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character. (4) What that character is we shall show in due time,
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namely, that it is the knowledge of the union existing being
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the mind and the whole of nature. [c]
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[14] (1) This, then, is the end for which I strive, to attain to
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such a character myself, and to endeavor that many should attain to
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it with me. (2) In other words, it is part of my happiness to lend
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a helping hand, that many others may understand even as I do, so
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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.
|
|
|
|
[70] (1) Whence it follows that there is in ideas something real,
|
|
whereby the true are distinguished from the false. (2) This reality
|
|
must be inquired into, if we are to find the best standard of truth
|
|
(we have said that we ought to determine our thoughts by the given
|
|
standard of a true idea, and that method is reflective knowledge),
|
|
and to know the properties of our understanding. (70:3) Neither must
|
|
we say that the difference between true and false arises from the
|
|
fact, that true knowledge consists in knowing things through their
|
|
primary causes, wherein it is totally different from false knowledge,
|
|
as I have just explained it: for thought is said to be true, if
|
|
it involves subjectively the essence of any principle which has no
|
|
cause, and is known through itself and in itself.
|
|
|
|
[71] (1) Wherefore the reality (forma) of true thought must exist
|
|
in the thought itself, without reference to other thoughts; it does
|
|
not acknowledge the object as its cause, but must depend on the
|
|
actual power and nature of the understanding. (2) For, if we
|
|
suppose that the understanding has perceived some new entity which
|
|
has never existed, as some conceive the understanding of God before
|
|
He created thing (a perception which certainly could not arise
|
|
any object), and has legitimately deduced other thoughts from said
|
|
perception, all such thoughts would be true, without being
|
|
determined by any external object; they would depend solely on the
|
|
power and nature of the understanding. (71:3) Thus, that which
|
|
constitutes the reality of a true thought must be sought in the
|
|
thought itself, and deduced from the nature of the understanding.
|
|
|
|
[72] (1) In order to pursue our investigation, let us confront
|
|
ourselves with some true idea, whose object we know for
|
|
certain to be dependent on our power of thinking, and to have
|
|
nothing corresponding to it in nature. (2) With an idea of this
|
|
kind before us, we shall, as appears from what has just been said,
|
|
be more easily able to carry on the research we have in view.
|
|
(72:3) For instance, in order to form the conception of a sphere,
|
|
I invent a cause at my pleasure - namely, a semicircle revolving
|
|
round its center, and thus producing a sphere. (4) This is
|
|
indisputably a true idea; and, although we know that no sphere in
|
|
nature has ever actually been so formed, the perception remains
|
|
true, and is the easiest manner of conceiving a sphere.
|
|
(72:5) We must observe that this perception asserts the rotation
|
|
of a semicircle - which assertion would be false, if it were not
|
|
associated with the conception of a sphere, or of a cause
|
|
determining a motion of the kind, or absolutely, if the assertion
|
|
were isolated. (6) The mind would then only tend to the
|
|
affirmation of the sole motion of a semicircle, which is not
|
|
contained in the conception of a semicircle, and does not arise
|
|
from the conception of any cause capable of producing such motion.
|
|
(72:7) Thus falsity consists only in this, that something is
|
|
affirmed of a thing, which is not contained in the conception
|
|
we have formed of that thing, as motion or rest of a semicircle.
|
|
(8) Whence it follows that simple ideas cannot be other than
|
|
true - e.g., the simple idea of a semicircle, of motion, of rest,
|
|
of quantity, &c.
|
|
(72:9) Whatsoever affirmation such ideas contain is equal to the
|
|
concept formed, and does not extend further. (10) Wherefore we
|
|
form as many simple ideas as we please, without any fear of error.
|
|
|
|
[73] (1) It only remains for us to inquire by what power our mind
|
|
can form true ideas, and how far such power extends. (2) It is
|
|
certain that such power cannot extend itself infinitely. (3) For
|
|
when we affirm somewhat of a thing, which is not contained in the
|
|
concept we have formed of that thing, such an affirmation shows a
|
|
defect of our perception, or that we have formed fragmentary or
|
|
mutilated ideas. (4) Thus we have seen that the notion of a
|
|
semicircle is false when it is isolated in the mind, but true when
|
|
it is associated with the concept of a sphere, or of some cause
|
|
determining such a motion. (73:5) But if it be the nature of a
|
|
thinking being, as seems, prima facie, to be the case, to form true
|
|
or adequate thoughts, it is plain that inadequate ideas arise in us
|
|
only because we are parts of a thinking being, whose thoughts - some
|
|
in their entirety, others in fragments only - constitute our mind.
|
|
|
|
[74] (1) But there is another point to be considered, which was not
|
|
worth raising in the case of fiction, but which give rise to complete
|
|
deception - namely, that certain things presented to the imagination
|
|
also exist in the understanding - in other words, are conceived
|
|
clearly and distinctly. (2) Hence, so long as we do not separate that
|
|
which is distinct from that which is confused, certainty, or the true
|
|
idea, becomes mixed with indistinct ideas. (3) For instance, certain
|
|
Stoics heard, perhaps, the term "soul," and also that the soul is
|
|
immortal, yet imagined it only confusedly; they imaged, also, and
|
|
understood that very subtle bodies penetrate all others, and are
|
|
penetrated by none. (74:4) By combining these ideas, and being at the
|
|
same time certain of the truth of the axiom, they forthwith became
|
|
convinced that the mind consists of very subtle bodies; that these
|
|
very subtle bodies cannot be divided &c.
|
|
|
|
[75] (1) But we are freed from mistakes of this kind, so long as we
|
|
endeavor to examine all our perceptions by the standard of the given
|
|
true idea. (2) We must take care, as has been said, to separate such
|
|
perceptions from all those which arise from hearsay or unclassified
|
|
experience. (3) Moreover, such mistakes arise from things being
|
|
conceived too much in the abstract; for it is sufficiently self-evident
|
|
that what I conceive as in its true object I cannot apply to anything
|
|
else. (75:4) Lastly, they arise from a want of understanding of the
|
|
primary elements of nature as a whole; whence we proceed without due
|
|
order, and confound nature with abstract rules, which, although they
|
|
be true enough in their sphere, yet, when misapplied, confound
|
|
themselves, and pervert the order of nature. (5) However, if we
|
|
proceed with as little abstraction as possible, and begin from primary
|
|
elements - that is, from the source and origin of nature, as far back
|
|
as we can reach, - we need not fear any deceptions of this kind.
|
|
|
|
[76] (1) As far as the knowledge of the origin of nature is concerned,
|
|
there is no danger of our confounding it with abstractions. (2) For
|
|
when a thing is conceived in the abstract, as are all universal
|
|
notions, the said universal notions are always more extensive in the
|
|
mind than the number of individuals forming their contents really
|
|
existing in nature. (3) Again, there are many things in nature, the
|
|
difference between which is so slight as to be hardly perceptible to
|
|
the understanding; so that it may readily happen that such things are
|
|
confounded together, if they be conceived abstractedly. (4) But since
|
|
the first principle of nature cannot (as we shall see hereafter) be
|
|
conceived abstractedly or universally, and cannot extend further in
|
|
the understanding than it does in reality, and has no likeness to
|
|
mutable things, no confusion need be feared in respect to the idea of
|
|
it, provided (as before shown) that we possess a standard of truth.
|
|
(5) This is, in fact, a being single and infinite [76z] ; in other
|
|
words, it is the sum total of being, beyond which there is no being
|
|
found. [76a]
|
|
|
|
[77] (1) Thus far we have treated of the false idea. We have now
|
|
to investigate the doubtful idea - that is, to inquire what can
|
|
cause us to doubt, and how doubt may be removed. (2) I speak of
|
|
real doubt existing in the mind, not of such doubt as we see
|
|
exemplified when a man says that he doubts, though his mind does
|
|
not really hesitate. (77:3) The cure of the latter does not fall
|
|
within the province of method, it belongs rather to inquiries
|
|
concerning obstinacy and its cure.
|
|
|
|
[78] (1) Real doubt is never produced in the mind by the thing
|
|
doubted of. (2) In other words, if there were only one idea in
|
|
the mind, whether that idea were true or false, there would be no
|
|
doubt or certainty present, only a certain sensation. (3) For an
|
|
idea is in itself nothing else than a certain sensation. (4) But
|
|
doubt will arise through another idea, not clear and distinct
|
|
enough for us to be able to draw any certain conclusions with
|
|
regard to the matter under consideration; that is, the idea which
|
|
causes us to doubt is not clear and distinct. (5) To take an example.
|
|
(78:6) Supposing that a man has never reflected, taught by experience
|
|
or by any other means, that our senses sometimes deceive us, he will
|
|
never doubt whether the sun be greater or less than it appears.
|
|
(7) Thus rustics are generally astonished when they hear that the
|
|
sun is much larger than the earth. (8) But from reflection on the
|
|
deceitfulness of the senses [78a] doubt arises, and if, after
|
|
doubting, we acquire a true knowledge of the senses, and how things
|
|
at a distance are represented through their instrumentality, doubt
|
|
is again removed.
|
|
|
|
[79] (1) Hence we cannot cast doubt on true ideas by the supposition
|
|
that there is a deceitful Deity, who leads us astray even in what is
|
|
most certain. (2) We can only hold such an hypothesis so long as we
|
|
have no clear and distinct idea - in other words, until we reflect
|
|
the knowledge which we have of the first principle of all things, and
|
|
find that which teaches us that God is not a deceiver, and until we
|
|
know this with the same certainty as we know from reflecting on the
|
|
are equal to two right angles. (3) But if we have a knowledge of God
|
|
equal to that which we have of a triangle, all doubt is removed.
|
|
(79:4) In the same way as we can arrive at the said knowledge of a
|
|
triangle, though not absolutely sure that there is not some
|
|
arch-deceiver leading us astray, so can we come to a like knowledge
|
|
of God under the like condition, and when we have attained to it,
|
|
it is sufficient, as I said before, to remove every doubt which we can
|
|
possess concerning clear and distinct ideas.
|
|
|
|
[80] (1) Thus, if a man proceeded with our investigations in due
|
|
order, inquiring first into those things which should first be
|
|
inquired into, never passing over a link in the chain of association,
|
|
and with knowledge how to define his questions before seeking to
|
|
answer them, he will never have any ideas save such as are very
|
|
certain, or, in other words, clear and distinct; for doubt is only a
|
|
suspension of the spirit concerning some affirmation or negation
|
|
which it would pronounce upon unhesitatingly if it were not in
|
|
ignorance of something, without which the knowledge of the matter in
|
|
hand must needs be imperfect. (2) We may, therefore, conclude that
|
|
doubt always proceeds from want of due order in investigation.
|
|
|
|
[81] (1) These are the points I promised to discuss in the first part
|
|
of my treatise on method. (2) However, in order not to omit anything
|
|
which can conduce to the knowledge of the understanding and its
|
|
faculties, I will add a few words on the subject of memory and
|
|
forgetfulness.
|
|
(81:3) The point most worthy of attention is, that memory is
|
|
strengthened both with and without the aid of the understanding.
|
|
(4) For the more intelligible a thing is, the more easily is it
|
|
remembered, and the less intelligible it is, the more easily do we
|
|
forget it. (5) For instance, a number of unconnected words is much
|
|
more difficult to remember than the same number in the form of a
|
|
narration.
|
|
|
|
[82] (1) The memory is also strengthened without the aid of the
|
|
understanding by means of the power wherewith the imagination or
|
|
the sense called common, is affected by some particular physical
|
|
object. (2) I say particular, for the imagination is only affected
|
|
by particular objects. (3) If we read, for instance, a single romantic
|
|
comedy, we shall remember it very well, so long as we do not read
|
|
many others of the same kind, for it will reign alone in the memory
|
|
(4) If, however, we read several others of the same kind, we shall
|
|
think of them altogether, and easily confuse one with another.
|
|
(82:5) I say also, physical. (6) For the imagination is only
|
|
affected by physical objects. (7) As, then, the memory is
|
|
strengthened both with and without the aid of the understanding,
|
|
we may conclude that it is different from the understanding,
|
|
and that in the latter considered in itself there is neither
|
|
memory nor forgetfulness.
|
|
|
|
[83] (1) What, then, is memory? (2) It is nothing else than the
|
|
actual sensation of impressions on the brain, accompanied with the
|
|
thought of a definite duration, [83d] of the sensation. (3) This
|
|
is also shown by reminiscence. (4) For then we think of the
|
|
sensation, but without the notion of continuous duration; thus the
|
|
idea of that sensation is not the actual duration of the sensation
|
|
or actual memory. (83:5) Whether ideas are or are not subject to
|
|
corruption will be seen in philosophy. (6) If this seems too
|
|
absurd to anyone, it will be sufficient for our purpose, if he
|
|
reflect on the fact that a thing is more easily remembered in
|
|
proportion to its singularity, as appears from the example of
|
|
the comedy just cited. (83:7) Further, a thing is remembered more
|
|
easily in proportion to its intelligibility; therefore we cannot
|
|
help remember that which is extremely singular and sufficiently
|
|
intelligible.
|
|
|
|
|
|
[84] (1) Thus, then, we have distinguished between a true idea and
|
|
other perceptions, and shown that ideas fictitious, false, and the
|
|
rest, originate in the imagination - that is, in certain sensations
|
|
fortuitous (so to speak) and disconnected, arising not from the power
|
|
of the mind, but from external causes, according as the body,
|
|
sleeping or waking, receives various motions.
|
|
(2) But one may take any view one likes of the imagination so long
|
|
as one acknowledges that it is different from the understanding, and
|
|
that the soul is passive with regard to it. (3) The view taken is
|
|
immaterial, if we know that the imagination is something indefinite,
|
|
with regard to which the soul is passive, and that we can by some
|
|
means or other free ourselves therefrom with the help of the
|
|
understanding. (4) Let no one then be astonished that before proving
|
|
the existence of body, and other necessary things, I speak of
|
|
imagination of body, and of its composition. (5) The view taken is,
|
|
I repeat, immaterial, so long as we know that imagination is something
|
|
indefinite, &c.
|
|
|
|
[85] (1) As regards as a true idea, we have shown that it is simple
|
|
or compounded of simple ideas; that it shows how and why something
|
|
is or has been made; and that its subjective effects in the soul
|
|
correspond to the actual reality of its object. (2) This conclusion
|
|
is identical with the saying of the ancients, that true proceeds
|
|
from cause to effect; though the ancients, so far as I know,
|
|
never formed the conception put forward here that the soul acts
|
|
according to fixed laws, and is as it were an immaterial automaton.
|
|
|
|
[86] (1) Hence, as far as is possible at the outset, we have
|
|
acquired a knowledge of our understanding, and such a standard of
|
|
a true idea that we need no longer fear confounding truth with
|
|
falsehood and fiction. (2) Neither shall we wonder why we
|
|
understand some things which in nowise fall within the scope of
|
|
the imagination, while other things are in the imagination but
|
|
wholly opposed to the understanding, or others, again, which
|
|
agree therewith. (3) We now know that the operations, whereby the
|
|
effects of imagination are produced, take place under other laws
|
|
quite different from the laws of the understanding, and that the
|
|
mind is entirely passive with regard to them.
|
|
|
|
[87] (1) Whence we may also see how easily men may fall into grave
|
|
errors through not distinguishing accurately between the imagination
|
|
and the understanding; such as believing that extension must be
|
|
localized, that it must be finite, that its parts are really distinct
|
|
one from the other, that it is the primary and single foundation of
|
|
all things, that it occupies more space at one time than at another
|
|
and other similar doctrines, all entirely opposed to truth, as we
|
|
shall duly show.
|
|
|
|
[88] (1) Again, since words are a part of the imagination - that is,
|
|
since we form many conceptions in accordance with confused
|
|
arrangements of words in the memory, dependent on particular bodily
|
|
conditions, - there is no doubt that words may, equally with the
|
|
imagination, be the cause of many and great errors, unless we
|
|
strictly on our guard.
|
|
|
|
[89] (1) Moreover, words are formed according to popular fancy and
|
|
intelligence, and are, therefore, signs of things as existing in the
|
|
imagination, not as existing in the understanding. (2) This is
|
|
evident from the fact that to all such things as exist only in the
|
|
understanding, not in the imagination, negative names are often
|
|
given, such as incorporeal, infinite, &c. (3) So, also, many
|
|
conceptions really affirmative are expressed negatively, and vice
|
|
versa, such as uncreate, independent, infinite, immortal, &c.,
|
|
inasmuch as their contraries are much more easily imagined, and,
|
|
therefore, occurred first to men, and usurped positive names.
|
|
(89:4) Many things we affirm and deny, because the nature of words
|
|
allows us to do so, though the nature of things does not. (5) While
|
|
we remain unaware of this fact, we may easily mistake falsehood for
|
|
truth.
|
|
|
|
[90] (1) Let us also beware of another great cause of confusion,
|
|
which prevents the understanding from reflecting on itself.
|
|
(2) Sometimes, while making no distinction between the imagination
|
|
and the intellect, we think that what we more readily imagine is
|
|
clearer to us; and also we think that what we imagine we understand.
|
|
(3) Thus, we put first that which should be last: the true order of
|
|
progression is reversed, and no legitimate conclusion is drawn.
|
|
|
|
[91] [91e] (1) Now, in order at length to pass on to the second
|
|
part of this method, I shall first set forth the object aimed at,
|
|
and next the means for its attainment. (2) The object aimed at
|
|
is the acquisition of clear and distinct ideas, such as are
|
|
produced by the pure intellect, and not by chance physical motions.
|
|
(3) In order that all ideas may be reduced to unity, we shall
|
|
endeavor so to associate and arrange them that our mind may, as far
|
|
as possible, reflect subjectively the reality of nature, both as
|
|
a whole and as parts.
|
|
|
|
[92] (1) As for the first point, it is necessary (as we have said)
|
|
for our purpose that everything should be conceived, either solely
|
|
through its essence, or through its proximate cause. (2) If the
|
|
thing be self-existent, or, as is commonly said, the cause of
|
|
itself, it must be understood through its essence only; if it be
|
|
not self-existent, but requires a cause for its existence, it must
|
|
be understood through its proximate cause. (3) For, in reality,
|
|
the knowledge, [92f] of an effect is nothing else than the
|
|
acquisition of more perfect knowledge of its cause.
|
|
|
|
[93] (1) Therefore, we may never, while we are concerned with
|
|
inquiries into actual things, draw any conclusion from
|
|
abstractions; we shall be extremely careful not to confound that
|
|
which is only in the understanding with that which is in the
|
|
thing itself. (2) The best basis for drawing a conclusion will
|
|
be either some particular affirmative essence, or a true and
|
|
legitimate definition. (93:3) For the understanding cannot descend
|
|
from universal axioms by themselves to particular things, since
|
|
axioms are of infinite extent, and do not determine the
|
|
understanding to contemplate one particular thing more than
|
|
another.
|
|
|
|
[94] (1) Thus the true method of discovery is to form thoughts
|
|
from some given definition. (2) This process will be the
|
|
more fruitful and easy in proportion as the thing given be
|
|
better defined. (3) Wherefore, the cardinal point of all this
|
|
second part of method consists in the knowledge of the conditions
|
|
of good definition, and the means of finding them. (4) I will
|
|
first treat of the conditions of definition.
|
|
|
|
[95] (1) A definition, if it is to be called perfect, must
|
|
explain the inmost essence of a thing, and must take care not
|
|
to substitute for this any of its properties. (2) In order
|
|
to illustrate my meaning, without taking an example which
|
|
would seem to show a desire to expose other people's errors,
|
|
I will choose the case of something abstract, the definition
|
|
of which is of little moment. (95:3) Such is a circle. (4) If
|
|
a circle be defined as a figure, such that all straight lines
|
|
drawn from the center to the circumference are equal, every
|
|
one can see that such a definition does not in the least
|
|
explain the essence of a circle, but solely one of its
|
|
properties. (5) Though, as I have said, this is of no
|
|
importance in the case of figures and other abstractions,
|
|
it is of great importance in the case of physical beings
|
|
and realities: for the properties of things are not understood
|
|
so long as their essences are unknown. (6) If the latter be
|
|
passed over, there is necessarily a perversion of the
|
|
succession of ideas which should reflect the succession of
|
|
nature, and we go far astray from our object.
|
|
|
|
[96] In order to be free from this fault, the following rules
|
|
should be observed in definition:-
|
|
I. (1) If the thing in question be created, the definition
|
|
must (as we have said) comprehend the proximate cause.
|
|
(2) For instance, a circle should, according to this rule,
|
|
be defined as follows: the figure described by any line
|
|
whereof one end is fixed and the other free. (3) This
|
|
definition clearly comprehends the proximate cause.
|
|
II. (4) A conception or definition of a thing should be such
|
|
that all the properties of that thing, in so far as it is
|
|
considered by itself, and not in conjunction with other
|
|
things, can be deduced from it, as may be seen in the
|
|
definition given of a circle: for from that it clearly follows
|
|
that all straight lines drawn from the center to the
|
|
circumference are equal. (5) That this is a necessary
|
|
characteristic of a definition is so clear to anyone, who
|
|
reflects on the matter, that there is no need to spend time
|
|
in proving it, or in showing that, owing to this second
|
|
condition, every definition should be affirmative. (6) I
|
|
speak of intellectual affirmation, giving little thought to
|
|
verbal affirmations which, owing to the poverty of language,
|
|
must sometimes, perhaps, be expressed negatively, though
|
|
the idea contained is affirmative.
|
|
|
|
[97] The rules for the definition of an uncreated thing
|
|
are as follows:--
|
|
I. The exclusion of all idea of cause - that is, the thing
|
|
must not need explanation by Anything outside itself.
|
|
II. When the definition of the thing has been given, there must
|
|
be no room for doubt as to whether the thing exists or not.
|
|
III. It must contain, as far as the mind is concerned, no
|
|
substantives which could be put into an adjectival form;
|
|
in other words, the object defined must not be explained
|
|
through abstractions.
|
|
IV. Lastly, though this is not absolutely necessary, it should
|
|
be possible to deduce from the definition all the properties
|
|
of the thing defined.
|
|
All these rules become obvious to anyone giving strict
|
|
attention to the matter.
|
|
|
|
[98] (1) I have also stated that the best basis for drawing a
|
|
conclusion is a particular affirmative essence. (2) The more
|
|
specialized the idea is, the more it is distinct, and therefore
|
|
clear. (3) Wherefore a knowledge of particular things should
|
|
be sought for as diligently as possible.
|
|
|
|
[99] (1) As regards the order of our perceptions, and the manner
|
|
in which they should be arranged and united, it is necessary that,
|
|
as soon as is possible and rational, we should inquire whether
|
|
there be any being (and, if so, what being), that is the cause
|
|
of all things, so that its essence, represented in thought, may
|
|
be the cause of all our ideas, and then our mind will to the
|
|
utmost possible extent reflect nature. (2) For it will possess,
|
|
subjectively, nature's essence, order, and union. (3) Thus we
|
|
can see that it is before all things necessary for us to deduce
|
|
all our ideas from physical things - that is, from real entities,
|
|
proceeding, as far as may be, according to the series of causes,
|
|
from one real entity to another real entity, never passing to
|
|
universals and abstractions, either for the purpose of deducing
|
|
some real entity from them, or deducing them from some real
|
|
entity. (4) Either of these processes interrupts the true
|
|
progress of the understanding.
|
|
|
|
[100] (1) But it must be observed that, by the series of causes
|
|
and real entities, I do not here mean the series of particular
|
|
and mutable things, but only the series of fixed and eternal
|
|
things. (2) It would be impossible for human infirmity to follow
|
|
up the series of particular mutable things, both on account
|
|
their multitude, surpassing all calculation, and on account of
|
|
the infinitely diverse circumstances surrounding one and the same
|
|
thing, any one of which may be the cause of its existence or
|
|
non-existence. (3) Indeed, their existence has no connection
|
|
with their essence, or (as we have said already) is not an
|
|
eternal truth.
|
|
|
|
[101] (1) Neither is there any need that we should understand
|
|
their series, for the essences of particular mutable things are
|
|
not to be gathered from their series or order of existence,
|
|
which would furnish us with nothing beyond their extrinsic
|
|
denominations, their relations, or, at most, their circumstances,
|
|
all of which are very different from their inmost essence.
|
|
(101:2) This inmost essence must be sought solely from fixed and
|
|
eternal things, and from the laws, inscribed (so to speak) in
|
|
those things as in their true codes, according to which all
|
|
particular things take place and are arranged; nay, these mutable
|
|
particular things depend so intimately and essentially (so to
|
|
phrase it) upon the fixed things, that they cannot either be
|
|
conceived without them.
|
|
|
|
[102] (1) But, though this be so, there seems to be no small
|
|
difficulty in arriving at the knowledge of these particular things,
|
|
for to conceive them all at once would far surpass the powers of
|
|
the human understanding. (2) The arrangement whereby one thing is
|
|
understood, before another, as we have stated, should not be sought
|
|
from their series of existence, nor from eternal things. (3) For
|
|
the latter are all by nature simultaneous. (4) Other aids are
|
|
therefore needed besides those employed for understanding eternal
|
|
things and their laws. (5) However, this is not the place to recount
|
|
such aids, nor is there any need to do so, until we have acquired a
|
|
sufficient knowledge of eternal things and their infallible laws,
|
|
and until the nature of our senses has become plain to us.
|
|
|
|
[103] (1) Before betaking ourselves to seek knowledge of particular
|
|
things, it will be seasonable to speak of such aids, as all tend to
|
|
teach us the mode of employing our senses, and to make certain
|
|
experiments under fixed rules and arrangements which may suffice to
|
|
determine the object of our inquiry, so that we may therefrom infer
|
|
what laws of eternal things it has been produced under, and may gain
|
|
an insight into its inmost nature, as I will duly show. (2) Here,
|
|
to return to my purpose, I will only endeavor to set forth what seems
|
|
necessary for enabling us to attain to knowledge of eternal things,
|
|
and to define them under the conditions laid down above.
|
|
|
|
[104] (1) With this end, we must bear in mind what has already been
|
|
stated, namely, that when the mind devotes itself to any thought, so
|
|
as to examine it, and to deduce therefrom in due order all the
|
|
legitimate conclusions possible, any falsehood which may lurk in the
|
|
thought will be detected; but if the thought be true, the mind will
|
|
readily proceed without interruption to deduce truths from it.
|
|
(104:2) This, I say, is necessary for our purpose, for our thoughts
|
|
may be brought to a close by the absence of a foundation.
|
|
|
|
[105] (1) If, therefore, we wish to investigate the first thing of
|
|
all, it will be necessary to supply some foundation which may direct
|
|
our thoughts thither. (2) Further, since method is reflective
|
|
knowledge, the foundation which must direct our thoughts can be
|
|
nothing else than the knowledge of that which constitutes the reality
|
|
of truth, and the knowledge of the understanding, its properties, and
|
|
powers. (3) When this has been acquired we shall possess a foundation
|
|
wherefrom we can deduce our thoughts, and a path whereby the intellect,
|
|
according to its capacity, may attain the knowledge of eternal things,
|
|
allowance being made for the extent of the intellectual powers.
|
|
|
|
[106] (1) If, as I stated in the first part, it belongs to the nature
|
|
of thought to form true ideas, we must here inquire what is meant by
|
|
the faculties and power of the understanding. (2) The chief part of
|
|
our method is to understand as well as possible the powers of the
|
|
intellect, and its nature; we are, therefore, compelled (by the
|
|
considerations advanced in the second part of the method) necessarily
|
|
to draw these conclusions from the definition itself of thought and
|
|
understanding.
|
|
|
|
[107] (1) But, so far as we have not got any rules for finding
|
|
definitions, and, as we cannot set forth such rules without a
|
|
previous knowledge of nature, that is without a definition of the
|
|
understanding and its power, it follows either that the definition
|
|
of the understanding must be clear in itself, or that we can
|
|
understand nothing. (2) Nevertheless this definition is not
|
|
absolutely clear in itself; however, since its properties, like
|
|
all things that we possess through the understanding, cannot be
|
|
known clearly and distinctly, unless its nature be known previously,
|
|
understanding makes itself manifest, if we pay attention to its
|
|
properties, which we know clearly and distinctly. (3) Let us,
|
|
then, enumerate here the properties of the understanding, let us
|
|
examine them, and begin by discussing the instruments for research
|
|
which we find innate in us. See [31]
|
|
|
|
[108] (1) The properties of the understanding which I have chiefly
|
|
remarked, and which I clearly understand, are the following:-
|
|
I. (2) It involves certainty - in other words, it knows that a thing
|
|
exists in reality as it is reflected subjectively.
|
|
II. (108:3) That it perceives certain things, or forms some ideas
|
|
absolutely, some ideas from others. (4) Thus it forms the
|
|
idea of quantity absolutely, without reference to any other
|
|
thoughts; but ideas of motion it only forms after taking into
|
|
consideration the idea of quantity.
|
|
III. (108:5) Those ideas which the understanding forms absolutely
|
|
express infinity; determinate ideas are derived from other
|
|
ideas. (6) Thus in the idea of quantity, perceived by means
|
|
of a cause, the quantity is determined, as when a body is
|
|
perceived to be formed by the motion of a plane, a plane by
|
|
the motion of a line, or, again, a line by the motion of a
|
|
point. (7) All these are perceptions which do not serve
|
|
towards understanding quantity, but only towards determining
|
|
it. (108:8) This is proved by the fact that we conceive them
|
|
as formed as it were by motion, yet this motion is not perceived
|
|
unless the quantity be perceived also; we can even prolong the
|
|
motion to form an infinite line, which we certainly could not do
|
|
unless we had an idea of infinite quantity.
|
|
IV. (9) The understanding forms positive ideas before forming
|
|
negative ideas.
|
|
V. (108:10) It perceives things not so much under the condition
|
|
of duration as under a certain form of eternity, and in an
|
|
infinite number; or rather in perceiving things it does not
|
|
consider either their number or duration, whereas, in imagining
|
|
them, it perceives them in a determinate number, duration, and
|
|
quantity.
|
|
VI. (108:11) The ideas which we form as clear and distinct, seem
|
|
to follow from the sole necessity of our nature, that they
|
|
appear to depend absolutely on our sole power; with confused
|
|
ideas the contrary is the case. (12) They are often formed
|
|
against our will.
|
|
VII. (108:13) The mind can determine in many ways the ideas of things,
|
|
which the understanding forms from other ideas: thus, for instance,
|
|
in order to define the plane of an ellipse, it supposes a point
|
|
adhering to a cord to be moved around two centers, or, again, it
|
|
conceives an infinity of points, always in the same fixed relation
|
|
to a given straight line, angle of the vertex of the cone, or in an
|
|
infinity of other ways.
|
|
VIII. (108:14) The more ideas express perfection of any object,
|
|
the more perfect are they themselves; for we do not admire the
|
|
architect who has planned a chapel so much as the architect who
|
|
has planned a splendid temple.
|
|
|
|
[109] (1) I do not stop to consider the rest of what is referred
|
|
to thought, such as love, joy, &c. (2) They are nothing to our
|
|
present purpose, and cannot even be conceived unless the
|
|
understanding be perceived previously. (3) When perception is
|
|
removed, all these go with it.
|
|
|
|
[110] (1) False and fictitious ideas have nothing positive about
|
|
them (as we have abundantly shown), which causes them to be called
|
|
false or fictitious; they are only considered as such through the
|
|
defectiveness of knowledge. (2) Therefore, false and fictitious
|
|
ideas as such can teach us nothing concerning the essence of thought;
|
|
this must be sought from the positive properties just enumerated;
|
|
in other words, we must lay down some common basis from which these
|
|
properties necessarily follow, so that when this is given, the
|
|
properties are necessarily given also, and when it is removed,
|
|
they too vanish with it.
|
|
|
|
The rest of the treatise is wanting.
|
|
|
|
----------------------------------------------------------------------------
|
|
Spinoza's Endnotes: Marks as per Curley, see Note 5 above.
|
|
[a] (1) This might be explained more at large and more clearly:
|
|
I mean by distinguishing riches according as they are pursued for
|
|
their own sake, in or furtherance of fame, or sensual pleasure,
|
|
or the advancement of science and art. (2) But this subject is
|
|
reserved to its own place, for it is not here proper to
|
|
investigate the matter more accurately.
|
|
[b] These considerations should be set forth more precisely.
|
|
[c] These matters are explained more at length elsewhere.
|
|
[d] N.B. I do no more here than enumerate the sciences necessary
|
|
for our purpose; I lay no stress on their order.
|
|
[e] There is for the sciences but one end, to which they should
|
|
all be directed.
|
|
[f] (1) In this case we do not understand anything of the cause
|
|
from the consideration of it in the effect. (2) This is
|
|
sufficiently evident from the fact that the cause is only
|
|
spoken of in very general terms, such as - there exists then
|
|
something; there exists then some power, &c.; or from the
|
|
that we only express it in a negative manner - it is not
|
|
or that, &c. (3) In the second case something is ascribed
|
|
to the cause because of the effect, as we shall show in an
|
|
example, but only a property, never an essence.
|
|
[g] (1) From this example may be clearly seen what I have just
|
|
drawn attention to. (2) For through this union we understand
|
|
nothing beyond the sensation, the effect, to wit, from which
|
|
we inferred the cause of which we understand nothing.
|
|
[h] (1) A conclusion of this sort, though it be certain, is yet
|
|
not to be relied on without great caution; for unless we are
|
|
exceedingly careful we shall forthwith fall into error.
|
|
(2) When things are conceived thus abstractedly, and not
|
|
through their true essence, they are apt to be confused by the
|
|
imagination. (3) For that which is in itself one, men imagine
|
|
to be multiplex. (4) To those things which are conceived
|
|
abstractedly, apart, and confusedly, terms are applied which are
|
|
apt to become wrested from their strict meaning, and bestowed on
|
|
things more familiar; whence it results that these latter are
|
|
imagined in the same way as the former to which the terms were
|
|
originally given.
|
|
[i] I shall here treat a little more in detail of experience,
|
|
and shall examine the method adopted by the Empirics,
|
|
and by recent philosophers.
|
|
[k] By native strength, I mean that not bestowed on us by external
|
|
causes, as I shall afterwards explain in my philosophy.
|
|
[l] Here I term them operations: I shall explain their nature
|
|
in my philosophy.
|
|
[m] I shall take care not only to demonstrate what I have just
|
|
advanced, but also that we have hitherto proceeded rightly,
|
|
and other things needful to be known.
|
|
[33note1] (1) In modern language, "the idea may become the
|
|
subject of another presentation." (2) Objectivus generally
|
|
corresponds to the modern "subjective," formalis to the
|
|
modern "objective." [Trans.- Note 1]
|
|
[n] (1) Observe that we are not here inquiring how the first
|
|
subjective essence is innate in us. (2) This belongs to an
|
|
investigation into nature, where all these matters are amply
|
|
explained, and it is shown that without ideas neither
|
|
affirmation, nor negation, nor volition are possible.
|
|
[o] The nature of mental search is explained in my philosophy.
|
|
[p] To be connected with other things is to be produced by them,
|
|
or to produce them.
|
|
[q] In the same way as we have here no doubt of the truth of
|
|
our knowledge.
|
|
[r] See below the note on hypotheses, whereof we have a clear
|
|
understanding; the fiction consists in saying that such
|
|
hypotheses exist in heavenly bodies.
|
|
[s] (1) As a thing, when once it is understood, manifests itself,
|
|
we have need only of an example without further proof.
|
|
(2) In the same way the contrary has only to be presented to
|
|
our minds to be recognized as false, as will forthwith appear
|
|
when we come to discuss fiction concerning essences.
|
|
[t] Observe, that although many assert that they doubt whether God
|
|
exists, they have nought but his name in their minds, or else
|
|
some fiction which they call God: this fiction is not in
|
|
harmony with God's real nature, as we will duly show.
|
|
[u] (1) I shall presently show that no fiction can concern eternal
|
|
truths. By an eternal truth, I mean that which being positive
|
|
could never become negative. (2) Thus it is a primary and
|
|
eternal truth that God exists, but it is not an eternal truth
|
|
that Adam thinks. (3) That the Chimaera does not exist is an
|
|
eternal truth, that Adam does not think is not so.
|
|
[x] (1) Afterwards, when we come to speak of fiction that is
|
|
concerned with essences, it will be evident that fiction never
|
|
creates or furnishes the mind with anything new; only such things
|
|
as are already in the brain or imagination are recalled to the
|
|
memory, when the attention is directed to them confusedly and all
|
|
at once. (2) For instance, we have remembrance of spoken words
|
|
and of a tree; when the mind directs itself to them confusedly,
|
|
it forms the notion of a tree speaking. (3) The same may be said
|
|
of existence, especially when it is conceived quite generally as
|
|
an entity; it is then readily applied to all things together in
|
|
the memory. (4) This is specially worthy of remark.
|
|
[y] We must understand as much in the case of hypotheses put forward
|
|
to explain certain movements accompanying celestial phenomena;
|
|
but from these, when applied to the celestial motions, we any
|
|
draw conclusions as to the nature of the heavens, whereas this
|
|
last may be quite different, especially as many other causes are
|
|
conceivable which would account for such motions.
|
|
[z] (1) It often happens that a man recalls to mind this word soul,
|
|
and forms at the same time some corporeal image: as the two
|
|
representations are simultaneous, he easily thinks that he
|
|
imagines and feigns a corporeal soul: thus confusing the name
|
|
with the thing itself. (2) I here beg that my readers will not
|
|
be in a hurry to refute this proposition; they will, I hope,
|
|
have no mind to do so, if they pay close attention to the
|
|
examples given and to what follows.
|
|
[61a] (1) Though I seem to deduce this from experience, some
|
|
may deny its cogency because I have given no formal proof.
|
|
(2) I therefore append the following for those who may
|
|
desire it. (3) As there can be nothing in nature contrary
|
|
to nature's laws, since all things come to pass by fixed
|
|
laws, so that each thing must irrefragably produce its own
|
|
proper effect, it follows that the soul, as soon as it
|
|
possesses the true conception of a thing, proceeds to
|
|
reproduce in thought that thing's effects. (4) See below,
|
|
where I speak of the false idea.
|
|
[64b] (1) Observe that fiction regarded in itself, only differs
|
|
from dreams in that in the latter we do not perceive the
|
|
external causes which we perceive through the senses while
|
|
awake. (2) It has hence been inferred that representations
|
|
occurring in sleep have no connection with objects external
|
|
to us. (3) We shall presently see that error is the dreaming
|
|
of a waking man: if it reaches a certain pitch it becomes delirium.
|
|
[76z] These are not attributes of God displaying His essence,
|
|
as I will show in my philosophy.
|
|
[76a] (1) This has been shown already. (2) For if such a being
|
|
did not exist it would never be produced; therefore the mind
|
|
would be able to understand more than nature could furnish;
|
|
and this has been shown above to be false.
|
|
[78a] (1) That is, it is known that the senses sometimes deceive us.
|
|
(2) But it is only known confusedly, for it is not known how
|
|
they deceive us.
|
|
[83d] (1) If the duration be indefinite, the recollection is
|
|
imperfect; this everyone seems to have learnt from nature.
|
|
(2) For we often ask, to strengthen our belief in something
|
|
we hear of, when and where it happened; though ideas
|
|
themselves have their own duration in the mind, yet, as we
|
|
are wont to determine duration by the aid of some measure
|
|
of motion which, again, takes place by aid of imagination,
|
|
we preserve no memory connected with pure intellect.
|
|
[91e] The chief rule of this part is, as appears from the first
|
|
part, to review all the ideas coming to us through pure
|
|
intellect, so as to distinguish them from such as we imagine:
|
|
the distinction will be shown through the properties of each,
|
|
namely, of the imagination and of the understanding.
|
|
[92f] Observe that it is thereby manifest that we cannot understand
|
|
anything of nature without at the same time increasing our
|
|
knowledge of the first cause, or God.
|
|
|
|
End of "On the Improvement of the Understanding."
|
|
|
|
Notes by Volunteer.
|
|
|
|
1. Used, in part, with kind permission from:
|
|
http://www.physics.wisc.edu/~shalizi/Spinoza/TIE/
|
|
|
|
2. The text is that of the translation of the Tractatus de Intellectus
|
|
Emendatione by R. H. M. Elwes, as printed by Dover Publications
|
|
(NY):1955), ISBN 0-486-20250-X. This text is "an unabridged and
|
|
unaltered republication of the Bohn Library edition originally
|
|
published by George Bell and Sons in 1883."
|
|
|
|
3. Paragraph Numbers, shown thus [1], are from Edwin Curley's
|
|
translation in his "The Collected Works of Spinoza", Volume 1, 1985,
|
|
Princeton University Press; ISBN 0-691-07222-1.
|
|
|
|
4. Sentence Numbers, shown thus (1), have been added by volunteer.
|
|
|
|
5. Spinoza's endnotes are shown thus [a]. The letter is taken from
|
|
Curley, see Note 3.
|
|
|
|
6. Search strings are enclosed in square brackets; include brackets.
|
|
|
|
7. HTML versions of "On the Improvement of the Understanding" are
|
|
published in the Books On-Line Web Pages;
|
|
ttp://www.cs.cmu.edu/books.html and they include:
|
|
http://www.physics.wisc.edu/~shalizi/Spinoza/TIE/
|
|
http://www.erols.com/jyselman/teielwes.htm
|
|
|
|
End of Project Gutenberg's Etext On the Improvement of the Understanding
|
|
(Treatise on the Emendation of the Intellect), by Baruch Spinoza
|
|
|